Find the measure of the arc or angle indicated.
A. 43
B. 53
C. 44
D. 46
Answer:
D. 44 is the answer
explanation:
Suppose that the matrix A has the following eigenvalues and eigenvectors: 2 2₁ = −1 + 2¡ with v₁ = [_₁ _? -1 - and A2 = -1 - 2i with ₂ = [₁ +²₁] −1+i. Write the solution to the linear system 7 7' = Ar in the following forms. A. In eigenvalue/eigenvector form: x(t) y(t) =-(| = C₁ = +0 (1 C2 I + e t B. In fundamental matrix form: x(t) ||| = C. As two equations: (write "c1" and "c2" for c₁ and c₂ ) x(t) = y(t) = Note: if you are feeling adventurous you could use other eigenvectors like 4₁ or −3√2. [a]
A) The eigen value or eigen vector form of the solution is:
x(t) = C₁\(e^{(\lambda_1t)\)v₁ + C₂\(e^{(-\lambda_2t)\)v₂
y(t) = C₁\(e^{(\lambda_1t)\)v₁ + C₂\(e^{(-\lambda_2t)\)v₂
B) The fundamental matrix form of the solution is:
X(t) = [v₁ | v₂] [\(e^{(-\lambda_1t)\) 0 ]
[0 \(e^{(-\lambda_2t)\)]
We have,
Matrix A and its corresponding eigenvalues and eigen vectors, we can write the solution to the linear system as follows:
A. In eigenvalue/eigenvector form:
The eigenvalue/eigenvector form of the solution is:
x(t) = C₁\(e^{(\lambda_1t)\)v₁ + C₂\(e^{(-\lambda_2t)\)v₂
y(t) = C₁\(e^{(\lambda_1t)\)v₁ + C₂\(e^{(-\lambda_2t)\)v₂
In this case, λ₁ = -1 + 2i, v₁ = [_₁, _?, -1 -] (vector notation)
and λ₂ = -1 - 2i, v₂ = [₁ + ²₁, -1 + i] (vector notation)
B. In fundamental matrix form:
The fundamental matrix form of the solution is:
X(t) = [v₁ | v₂] [\(e^{(-\lambda_1t)\) 0 ]
[0 \(e^{(-\lambda_2t)\)]
In this case, [v₁ | v₂] represents the matrix formed by concatenating the eigen vectors v₁ and v₂.
C. As two equations:
We can also express the solution as two separate equations:
x(t) = C₁\(e^{(\lambda_1t)\)v₁[₁] + C₂\(e^{(\lambda_2t)\)v₂[₁]
y(t) = C₁\(e^{(\lambda_1t)\)v₁[₂] + C₂\(e^{(\lambda_2t)\)v₂[₂]
Here, v₁[₁] and v₂[₁] represent the components of the eigenvectors v₁ and v₂ in the first position, respectively.
Similarly, v₁[₂] and v₂[₂] represent the components of the eigenvectors v₁ and v₂ in the second position, respectively.
Learn more about eigen vector here:
https://brainly.com/question/13050052
#SPJ4
What are the x-intercepts for x2 - 5x + 6 = 0? (hint: factor
first)
Answer:x-intercepts (0,2) ; (0,3)
Step-by-step explanation:
x^2 - 5x + 6 =0
(x-2)(x-3) = 0
[-2 and -3 was the factors of 6, which make them equal to -5 when them add].
x-2=0 x-3=0
x=2 x=3
so x-intercepts (0,2) ; (0,3)
Yolanda got a prepaid debit card with$20 on it. For her firt purchae with the card, he bought ome bulk ribbon at a craft tore. The price of the ribbon wa 16 cent per yard. If after that purchae there wa $12.32 left on the card, how many yard of ribbon did Yolanda buy?
Answer:
Yolanda bought 48 yards of ribbon, and spent 7.68 cents on it.
Step-by-step explanation:
First Step: Find out how much Yolanda spent
20.00 -12.32 = 7.68
Second Step: Divide Total Cost by Price of one Yard
7.68/0.16 = 48
Third Step: Double Check
48 x 0.16 = 7.68
I hope my answer helped you, good luck on your homework!
Dotermine if the argument is valid or not If the ice melts or a food occurs, then the global temperature has increased the global temperature has not increased. Therefore, a food occurs. Choose the correct answer below The argument is valid The argument is not vald
The argument is not valid.
The argument assumes that a flood occurs only if the global temperature has increased, but this is not necessarily true. A flood can occur due to other reasons such as heavy rain, land use changes, or other natural disasters. Therefore, the conclusion "a flood occurs" does not necessarily follow from the premises given.
This means that if either the ice melts or a flood occurs, then the global temperature must have increased. However, the converse of this statement is not necessarily true. That is, the global temperature can increase for reasons other than the ice melting or a flood occurring. Therefore, it is not valid to conclude that a flood must occur just because the global temperature has not increased.
learn more about 'global':https://brainly.com/question/31698211
#SPJ11
warm up:Area.how many square units will it take to fill up this rectangle?
Answer:
12
Step-by-step explanation:
here's your solution
=> area of rectangle = length*width
=> area 4*3 = 12.squnit
=> area of square = side^2
=> area = 1.squnit
=> Number of square = area of rectangle/area of square
=> no of square = 12/1
=>. 12
Find the graph of the following ellipse. Identify the domain, range, center, vertices, endpoints of the minor axis, and the foci. \[ \frac{x^{2}}{100}+\frac{y^{2}}{64}=1 \]
The vertices of the ellipse are (±10, 0), the endpoints of the minor axis are (0, ±8), the center is at (0, 0), and the foci are at (±6, 0). The domain of the ellipse is \(\[ \{ x | -10 \le x \le 10 \} \]\), and the range of the ellipse is \(\[ \{ y | -8 \le y \le 8 \} \]\)
The given equation is that of an ellipse with horizontal major axis and center at (0,0).To find the graph of the given equation, the method is to first compare the given equation with the standard equation of an ellipse and then graph it accordingly
\(\[ \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 \]\)
Comparing the given equation with the standard equation, we can get,
\(\[ \frac{x^{2}}{10^{2}}+\frac{y^{2}}{8^{2}}=1 \]\)
On comparing the above equations, we can get the following details of the ellipse.
Center (h, k) = (0, 0)a = 10b = 8Vertices = (±a, 0) = (±10, 0)
Endpoints of minor axis = (0, ±b) = (0, ±8)
Foci = (±c, 0)
where c2 = a2 - b2
c2 = 100 - 64
c2 = 36
c = ±6
Now the equation of the major axis is x = 0 and the equation of the minor axis is y = 0. Hence the domain and range can be given as follows.
Domain = \(\[ \{ x | -10 \le x \le 10 \} \]\)
Range =\(\[ \{ y | -8 \le y \le 8 \} \]\)
Thus the given equation represents an ellipse with horizontal major axis. The vertices of the ellipse are (±10, 0), the endpoints of the minor axis are (0, ±8), the center is at (0, 0), and the foci are at (±6, 0). The domain of the ellipse is \(\[ \{ x | -10 \le x \le 10 \} \]\), and the range of the ellipse is \(\[ \{ y | -8 \le y \le 8 \} \]\)
Thus, we can graph the given equation of the ellipse with the help of the above-mentioned details.
To know more about domain visit:
brainly.com/question/30133157
#SPJ11
$1250 is invested at a rate of 5.7% that is compounded semiannually how much money is in the account after 3 years
Using the formula
\(A=p(1+\frac{r}{n})^{nt}\)From the question,
P=$1250 r=0.057 t=3 n=2
Substitute the values into the formula and evaluate
\(A=1250(1+\frac{0.057}{2})^{2\times3}\)\(=1250(1+0.0285)^6\)\(=1250(1.0285)^6\)\(=\text{ \$1479.57}\)9 ft
cft
12 ft
Pls help me
The third side of the right angle triangle is x = 15 ft.
What is right angle triangle?
A right triangle is a triangle with one angle at a right angle, meaning that two of its sides are perpendicular. It is also known as a right-angled triangle, an orthogonal triangle, or more commonly as a rectangled triangle. Trigonometry's foundation is the right triangle's relationship between its sides and other angles.
We have to find the measure of third side of given right triangle.
The two sides of right triangle are 9 ft and 12 ft.
Let the side of third side is x.
By using the Pythagoras theorem,
(9)^2 + (12)^2 = x^2
81 + 144 = x^2
225 = x^2
x = 15
Hence, the third side of the right angle triangle is x = 15 ft.
To know more about right angle triangle, click on the link
https://brainly.com/question/1248322
#SPJ1
plz help me i need help
Answer:
it's the last one it always helps me the way my teacher told me the short hand is the hour and the long one is the minutes. if you write the words down and draw a line under them it tells you which hand is which.
mixed in a drawer are blue socks, white socks, and gray socks. you pull out two socks, one at a time, without looking. find the probability of getting 2 socks of the same color.
The probability of getting 2 socks of the same color given by the following solution is 65/132.
Beginning with the first sock, we have three options: blue, white, or grey. If we wanted to know the likelihood of drawing only one blue sock, we might divide the number of blue socks in the drawer by the total number of socks (2 / 12).
We have three options for the second sock: blue, white, or grey. Keep in mind that we are drawing without replacement, so there is now one fewer sock in the drawer. Thus, with three alternatives for the first sock and three options for the second sock, the total number of combinations is three times three, or nine. The following are all of the potential combinations: (blue, blue), (blue, white), (blue, grey), (white, blue), (white, white), (white, grey), (white, blue), (white, white), (white, grey), (grey, blue), (grey, white) (gray, gray).
So the probability of 2 socks of the same color is, in equation form:
P(2 socks of same color) = P(blue sock first) * P(blue sock second) + P(white sock first) * P(white sock second) + P(gray sock first) * P(gray sock second).
= 2/12*1/11 + 4/12*3/11 + 6/12*5/11
= 65/132
Therefore, the probability of getting 2 socks of the same color 65/132.
Learn more about Probability:
https://brainly.com/question/19543673
#SPJ4
Complete question:
Mixed in a drawer are 2 blue socks, 4 white socks, and 6 gray socks. You pull out two socks, one at a time, without looking. Find the probability of getting 2 socks of the same color.
Home plate for professional baseball has the dimensions shown below. What is the area of home plate, in square inches?
Answer:
Hi! The answer to your question is 176,868 Square Inches
Step-by-step explanation:
\(Area = Length * Width\)
\(8.5 * 12 * 12 *8.5 * 17 = 176,868\)
☆*: .。.。.:*☆☆.*: .。..。.:*☆☆*: .。.。.:*☆☆.*: .。..。.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
I NEED AN ANSWER ASAP ILL GIVE 20 POINTS
Answer:
sorry I really need these points im so so sorry bro I need it too pass highschool
Step-by-step explanation:
Because number line divide into 2 parts, so denominator of fraction is 2
whole number 1, fraction = 2/2
whole number 2, fraction = 4/2
whole number 3, fraction = 6/2
when isa travels to the usa for a holiday he leaves the uk at 1.00 pm local time and lands at 5.00 pm local time. on the return journey he leaves at 8.00 pm local time and lands at 10.00 am local time the next day. find the length of the flight in hours and the time difference between the uk and the part of the usa that isa visited
Isa took 4 hour when isa go from UK to USA and took 14 hour when she returns and time difference will be 10 hours
What is a definition distance?
the extent or amount of space between two things, points, lines, etc. the state or fact of being apart in space, as of one thing from another; remoteness
when isa travels to the usa for a holiday he leaves the uk at 1.00 pm local time and lands at 5.00 pm local time.
so isa took 4 hour
on the return journey he leaves at 8.00 pm local time and lands at 10.00 am local time the next day
isa tool 14 hour
find the length of the flight in hours and the time difference between the uk and the part of the usa that isa visited
length of flight is 18 hour
time difference will be 14-4 = 10 hour
learn more about time here
https://brainly.com/question/23973491
#SPJ4
f(x) = x2 − x − ln(x)
(a) Find the interval on which f is increasing. (Enter your answer using interval notation.)
Find the interval on which f is decreasing. (Enter your answer using interval notation.)
(b) Find the local minimum and maximum value of f.
(c) Find the inflection point.
(a) The interval on which f is increasing: (0, ∞)
The interval on which f is decreasing: (0, 1)
(b) Local minimum: At x = 1, f(x) has a local minimum value of -1.
There is no local maximum value.
(c) Inflection point: At x ≈ 0.293, f(x) has an inflection point.
The function f(x) = x^2 - x - ln(x) is a quadratic function combined with a logarithmic function.
To find the interval on which f is increasing, we need to determine where the derivative of f(x) is positive. Taking the derivative of f(x), we get f'(x) = 2x - 1 - 1/x. Setting f'(x) > 0, we solve the inequality 2x - 1 - 1/x > 0. Simplifying it further, we obtain x > 1. Therefore, the interval on which f is increasing is (0, ∞).
To find the interval on which f is decreasing, we need to determine where the derivative of f(x) is negative. Solving the inequality 2x - 1 - 1/x < 0, we get 0 < x < 1. Thus, the interval on which f is decreasing is (0, 1).
The local minimum is found by locating the critical point where f'(x) changes from negative to positive. In this case, it occurs at x = 1. Evaluating f(1), we find that the local minimum value is -1.
There is no local maximum in this function since the derivative does not change from positive to negative.
The inflection point is the point where the concavity of the function changes. To find it, we need to determine where the second derivative of f(x) changes sign. Taking the second derivative, we get f''(x) = 2 + 1/x^2. Setting f''(x) = 0, we find x = 0. Taking the sign of f''(x) for values less than and greater than x = 0, we observe that the concavity changes at x ≈ 0.293. Therefore, this is the inflection point of the function.
Visit here to learn more about Inflection point:
brainly.com/question/30763521
#SPJ11
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each system of equations to its graph.
y = 4x + 2
y = 3x + 2
y = 3x
y = x + 3
y = 2x + 1
y = x + 2
y = 2x − 2
y = x − 2
y = 2x + 3
y = x + 5
The system of equations corresponding to each graph is given as follows:
Graph 1: y = 3x, y = x + 3.Graph 2: y = 4x + 2, y = 3x + 2.Graph 3: y = 2x + 1, y = x + 2.Graph 4: y = 2x + 3, y = x + 5.How to verify the solution to the system of equations in the graph?The solution to a system of equations on a graph is given by the point of intersection between the two equations.
The first system is given as follows:
y = 4x + 2.y = 3x + 2.Equaling the equations, we have that:
4x + 2 = 3x + 2
x = 0.
Hence they intersect at point (0,2), which is represented by Graph 2.
The x-value of the solution of the second system is given as follows:
3x = x + 3
2x = 3
x = 1.5.
Then the solution for y is of:
y = 3x = 3(1.5) = 4.5.
They intersect at point (1.5, 4.5), which is represented by Graph 1.
For x-value of the solution of the third system is given as follows:
2x + 1 = x + 2
x = 1.
Then the solution for y is of:
y = x + 2.
y = 3.
Meaning that they intersect at point (1,3), which is represented by Graph 3.
For x-value of the solution of the fourth system is given as follows:
2x - 2 = x - 2
x = 0.
They intersect at (0,-2), which is not represented by any graph.
For x-value of the solution of the fifth system is given as follows:
2x + 3 = x + 5
x = 5 - 3
x = 2.
Then the solution for y is of:
y = 2 + 5
y = 7.
The intersection at (2,7) is represented by Graph 4.
More can be learned about a system of equations at https://brainly.com/question/24342899
#SPJ1
I need help with this simplification-
Answer:
1.31
Step-by-step explanation:
= \(\frac{64}{56}\)^2 x \(\frac{1}{2.92}\)^3 x 2.48
= 1.31 x 0.40 x 2.48
= 0.524 x 2.48
= 1.31
:)
Answer was verified and rounded
Given A is the center of circle at (3, -2) , radius is 7 in and m angle E A F equal 135 degree
What is the equation of given circle?
the equation of the given circle is (x - 3)² + (y + 2)² = 49.
To find the equation of a circle, we need the coordinates of its center and the radius.
In this case, the center of the circle is given as point A with coordinates (3, -2), and the radius is 7 inches.
The general equation of a circle with center (h, k) and radius r is:
(x - h)² + (y - k)² = r²
Substituting the given values into the equation, we have:
(x - 3)² + (y - (-2))² = 7²
Simplifying further:
(x - 3)² + (y + 2)² = 49
Therefore, the equation of the given circle is (x - 3)² + (y + 2)² = 49.
Learn more about equation of circle here
https://brainly.com/question/28970270
#SPJ4
What percentage of the global oceans are Marine Protected Areas
(MPA's) ?
a. 3.7% b. 15.2% c. 26.7% d. 90%
Option (c) 26.7% of the global oceans are Marine Protected Areas (MPAs). Marine Protected Areas (MPAs) are designated areas in the oceans that are set aside for conservation and management purposes.
They are intended to protect and preserve marine ecosystems, biodiversity, and various species. MPAs can have different levels of restrictions and regulations, depending on their specific objectives and conservation goals.
As of the current knowledge cutoff in September 2021, approximately 26.7% of the global oceans are designated as Marine Protected Areas. This means that a significant portion of the world's oceans has some form of protection and management in place to safeguard marine life and habitats. The establishment and expansion of MPAs have been driven by international agreements and initiatives, as well as national efforts by individual countries to conserve marine resources and promote sustainable practices.
It is worth noting that the percentage of MPAs in the global oceans may change over time as new areas are designated or existing MPAs are expanded. Therefore, it is important to refer to the most up-to-date data and reports from reputable sources to get the most accurate and current information on the extent of Marine Protected Areas worldwide.
Learn more about percentage here: brainly.com/question/29541337
#SPJ11
y = 7x + 4 where x is the number of weeks Anna saves and y is the total amount in her account
Answer:
X= 4/7 or =0.57143
Step-by-step explanation:
1.1 Solve y-7x+4 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-7x+4 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is -4/1 so this line "cuts" the y axis at y=-4.00000
y-intercept = -4/1 = -4.00000
Calculate the X-Intercept :
When y = 0 the value of x is 4/7 Our line therefore "cuts" the x axis at x= 0.57143
x-intercept = 4/7 = 0.57143
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -4.000 and for x=2.000, the value of y is 10.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 10.000 - (-4.000) = 14.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 14.000/2.000 = 7.000
Geometric figure: Straight Line
Slope = 14.000/2.000 = 7.000
x-intercept = 4/7 = 0.57143
y-intercept = -4/1 = -4.00000
Simplify the expression. Assume that x is nonzero. Your answer should have only positive exponents.
Equation:
x^-10 · x^6
Please help me out.
Answer: x^-4
Step-by-step explanation:
x^-10 · x^6
When you're multiplying exponents, use the first rule: add powers together when multiplying like bases.
-10 + 6 = -4
x^-4
What is mean reversion? How is mean reverting level x1 is calculated for time series? How is it interpreted?
Mean reversion is the tendency of prices or variables to return to their average level. The mean-reverting level, x1, is calculated using statistical methods and indicates potential future decreases or increases.
Mean reversion refers to the tendency of asset prices or economic variables to move back to their average or mean level over time. The mean-reverting level, x1, for a time series can be calculated using statistical methods like moving averages or exponential smoothing. These techniques estimate the average value or trend of the data.
The interpretation of x1 depends on the context. If the current value is above x1, it suggests a potential future decrease, reverting back to x1. Conversely, if the current value is below x1, it indicates a potential future increase, also reverting back to x1. The deviation from x1 provides insights into the strength or speed of the mean reversion process.
Therefore, Mean reversion is the tendency of prices or variables to return to their average level. The mean-reverting level, x1, is calculated using statistical methods and indicates potential future decreases or increases.
To learn more about statistical click here
brainly.com/question/33214409
#SPJ11
Choose the polynomial that is written in standard form.
Respuesta:
C: 10xy^4 + 3x^3y^2 - 6x^2y
¡¡Espero te sirva!!
the high school dropout rate in the united states is greater than 25 percent. c. wright mills would classify this situation as
The high school dropout rate in the United States is greater than 25 percent. C. Wright Mills would classify this situation as a societal issue.
This is because societal issues are matters of public concern that affect large numbers of people and require collective action to resolve. The high school dropout rate in the United States is an example of a societal issue because it has widespread implications for both individuals and society as a whole.
According to Mills, a societal issue is one that cannot be attributed solely to the actions of individuals. Instead, it is the result of social structures and processes that operate at a broader level.
For example, the high school dropout rate in the United States is influenced by a variety of factors such as poverty, race, and family background. These factors are not solely determined by the actions of individual students but are instead shaped by broader social forces such as economic inequality and institutional racism.
To address the high school dropout rate, therefore, requires collective action at the societal level. This may involve policy changes, community-based initiatives, or other forms of collective action aimed at addressing the underlying social factors that contribute to the problem.
To know more about dropout rate refer here:
https://brainly.com/question/19130877
#SPJ11
A map Uses a scale of — centimeter = 75 kilometers.
50 kilometers
Answer:
Step-by-step explanation:
75
Classify the number -61.
1. Integer, rational, real
2. Rational, real
3. Whole, integer, rational, real
4. Natural, whole, integer, rational, real
Answer:
1. Integer, rational, and real
Step-by-step explanation:
Remember:
(This is how my teacher taught it; yours may have done it differently)
Real numbers are numbers that can be plotted on a number line.
Rational numbers can be represented as a fraction (if they can't be represented as such they are irrational).
Integers are natural numbers, the opposite of natural numbers, and zero.
Whole numbers are natural numbers and zero.
Natural numbers are numbers you can count with.
-61 fits under real numbers, rational numbers, and integers. Assuming you want to be as specific as possible, the answer will be 1. Integer, rational, and real.
if i offered to bet you a tasty beverage that i could toss a coin ten times and produce a sequence of heads and tails that has less than a 1 in 1000 chance of occurring, should you take the bet? why?
If I offered to bet you a tasty beverage that I could toss a coin ten times and produce a sequence of heads and tails that has less than a 1 in 1000 chance of occurring, your chances of winning the bet is 0.99902.
If the coin is fair, the likelihood of getting a head or a tail in a coin toss is equal.
P(H) = P(T)
P(H) = 0.5
The coin has now been tossed ten times.
The probability of receiving 10 heads or 10 tails is binomial and equal.
P(X=10) = \(^{10}\textrm{C}_{10}\) · (0.5)¹⁰ · (1-0.5)⁰
P(X=10) = \(\frac{10!}{10!(10-10)!}\) · 0.00098 · (0.5)⁰
P(X=10) = \(\frac{10!}{10!0!}\) · 0.00098 · 1
P(X=10) = 0.00098
P(X=10) = 0.00098
You win the bet if the dealer does not now deliver a string of 10 heads.
As a result, your chances of winning the wager are 1 - 0.00098 = 0.99902. This is quite high, thus you ought to accept the wager.
To learn more about probability link is here
brainly.com/question/23889047
#SPJ4
what is the solution of the system? use the elimination method. {4x 2y=182x 3y=15 enter your answer in the boxes.
The solution of the system is x = 4 and y = 1.
To solve the system of equations using the elimination method, we can eliminate one variable by adding or subtracting the equations.
In this case, we can eliminate the variable "x" by multiplying the first equation by -2 and adding it to the second equation.
1. Multiply the first equation by -2:
-8x - 4y = -36
2. Add the modified first equation to the second equation:
-8x - 4y + 2x + 3y = -36 + 15
Simplifying the equation gives:
-6x - y = -21
3. Solve the new equation for one variable. Let's solve for y:
-y = -21 + 6x
y = 21 - 6x
4. Substitute the value of y into one of the original equations. Let's use the first equation:
4x + 2(21 - 6x) = 18
Simplifying the equation gives:
4x + 42 - 12x = 18
-8x = -24
x = 3
5. Substitute the value of x back into the equation for y:
y = 21 - 6(3)
y = 21 - 18
y = 3
Therefore, the solution to the system of equations is x = 3 and y = 3.
To learn more about elimination method, click here: brainly.com/question/29944642
#SPJ11
Find the area of the figure.
132 cm² is the area of the given figure.
To find the area of the figure we need to divide it into two parts such as a rectangle with the dimension of 20 * 6 and a triangle with the dimension of (10 - 6) * (20 - (8 + 6)).
So,
the height of the triangle = 10 - 6 = 4 cm
the base of the triangle = 20 - (8 + 6) = 20 - 14 = 6 cm
Thus,
the area of the triangle = 1/2 * base * height
= 1/2 * 6 * 4
= 12 square cm
Area of the rectangle = length * width
= 20 * 6
= 120 square cm
Thus, the area of the figure will be = 120 + 12 = 132 square cm.
Learn more about Area here:
https://brainly.com/question/27683633
#SPJ1
HELP GEOMETRY PLEASE!! SHOW WORK PLEASE
Answer:
24
Step-by-step explanation:
Makr me brainliest