Answer:
The answer is the first option. ΔRED ~ ΔTAN
Step-by-step explanation:
This is because the letters should be in the same order. Notice how T and R are in the same spots so are E and A, as well as D and N.
NEED ANWSER ASAP PLS
a horizontal translation only
a horizontal translation and a 180° rotation
a horizontal translation and a glide reflection
a horizontal translation and a reflection across a vertical line
The transformations that map the strip pattern onto itself is a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°. Option A is the correct option.
Here, we have,
the conditions for mapping the strip transformation pattern onto itself:
The strip pattern can be mapped onto itself in two different ways.
The first way is to translate the strip pattern horizontally and then rotate it by 180° degrees.
The second way is to reflect the strip pattern across a vertical line.
Hence, the transformations that map the strip pattern onto itself can be achieved through a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°.
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complete question:
Which transformations map the strip pattern onto itself?
a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°
a horizontal translation only
a horizontal translation, a reflection across a horizontal line, and a glide reflection only
a horizontal translation and a 180° rotation only
What is the value of x?
The value of the angle x is 110 degrees
What is a transversal line?A transversal is described as a line that passes two lines of distinct points
Also, we need to know that pair of angles on a straight line sums up to 180 degrees.
Supplementary angles are described as angles that sum up to 180 degrees.
Corresponding angles are also equal, then, we have that;
70 + x = 180
collect the like terms, we get;
x = 180 - 70
subtract the values, we have;
x = 110 degrees
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PLEASE HELP!
Determine the terms and the coefficients of the terms for the
polynomial
x^2-3x+2
Complete the table for the polynomial
Answers in bold
\(\begin{array}{|c|c|} \cline{1-2}\text{Term} & \text{Coefficient}\\\cline{1-2}\text{x}^2 & \boldsymbol{1}\\\cline{1-2}\boldsymbol{-3\textbf{x}} & -3\\\cline{1-2}2 & \boldsymbol{2}\\\cline{1-2}\end{array}\)
Explanation:
The given expression \(\text{x}^2-3\text{x}+2\) is the same as \(\text{x}^2+(-3\text{x})+2\)
This leads to the three terms as shown in the table above. Each term is separated by a plus sign.
The coefficient is the number to the left of the variable. Think of \(\text{x}^2\) as \(1\text{x}^2\) and think of \(2\) as \(2\text{x}^0\)
In other words, \(\text{x}^2-3\text{x}+2\) is the same as \(1\text{x}^2+(-3\text{x})+2\text{x}^0\)
What expression is (x -6)2 equivalent to?
Answer:
2x−12
Step-by-step explanation:
Answer:
2x−12
Step-by-step explanation:
Problem to solve:
(x−6)2
Solve the product 2(x−6)
2x+2⋅−6
Multiply 22 times -6−6
2x-12
Final Answer
2x-12
2x−12
ILL GIVE YOU BRAINLIST !!! SHOW WORK
Apply the exponent rules for each one:
When a number is raised by negative value, it changes to a fraction with the denominator raised to the power:
A number raised by 0 always = 1
1. 7^-2 = 1/7^2 = 1/49
2. 15^0 = 1
3. 10^-3 = 1/10^3 = 1/1000
4. 2^-5 = 1/2^5 = 1/32
5. 5^-3 = 1/5^3 = 1/125
6. 7^3 = 7x7x7 = 343
The equation of a parabola is (x−3)2=16(y+7) . What are the coordinates of the vertex and focus of the parabola? What is the equation of the directrix?
The coordinates of the vertex of the parabola are (3, -7). The focus of the parabola is located at (3, -3). The equation of the directrix is y = -11.
The given equation of the parabola is in the form (x - h)^2 = 4p(y - k), where (h, k) represents the vertex and p represents the distance between the vertex and the focus/directrix.
Comparing the given equation with the standard form, we can see that the vertex is at (3, -7).
The coefficient 4p in this case is 16, so p = 4. Since the parabola opens upward, the focus will be p units above the vertex. Therefore, the focus is located at (3, -7 + 4) = (3, -3).
To find the directrix, we need to consider the distance p below the vertex. Since the parabola opens upward, the directrix will be p units below the vertex. Hence, the equation of the directrix is y = -7 - 4 = -11.
In summary, the coordinates of the vertex are (3, -7), the focus is located at (3, -3), and the equation of the directrix is y = -11.
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Given the polynomial 9x2y6 − 25x4y8, rewrite as a product of polynomials.
(9xy3 − 25x2y4)(xy3 + x2y4)
(9xy3 − 25x2y4)(xy3 − x2y4)
(3xy3 − 5x2y4)(3xy3 + 5x2y4)
(3xy3 − 5x2y4)(3xy3 − 5x2y4)
Answer:
Option 3
(3xy³ + 5x²y⁴) (3xy³ - 5x²y⁴)
Step-by-step explanation:
Factorize polynomials:
Use exponent law:
\(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)
9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²
25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²
Now use the identity: a² - b² = (a +b) (a -b)
Here, a = 3xy³ & b = 5x²y⁴
9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²
= (3xy³)² - (5x²y⁴)²
= (3xy³ + 5x²y⁴) (3xy³ - 5x²y⁴)
Question 1
a) A racing car drives in a distance of 60km for 120 minutes on average ,how long will it take the same car to travel a distance of 12km ?
(show all your working)
b) Simplify using estimations
5.6 + 1.2(3)
c) 3 sisters Mpho(16), Mphonyane(24) and Mphononyane(32) share R1980 according to their ages.How much will Mphonyane receive ?
(show all your working)
please help!
Answer:
a. 60km/2hours =30km per hour. 12/30=0.4 hours. 24 minutes
Step-by-step explanation:
What is the slope of the line that contains the points (8, 4) and (−4, 8)?
3
−3
one third
negative one third
Answer: negative one third
Answer:
-1/3
Explanation:
There's a formula that I'll use to find the slope - it's called the slope formula.
\(\sf{m=\dfrac{y_2-y_1}{x_2-x_1}}\)
Plug in the data:
\(\sf{m=\dfrac{8-4}{-4-8}}\\\\\sf{m=\dfrac{4}{-12}\)
Simplify:
\(\sf{m=-\dfrac{4}{12}}\)
\(\sf{m=-\dfrac{1}{3}}\)
Hence, the slope is negative one-third.
Which value is equivalent to the expression 4^5
Answer:
20
Step-by-step explanation:
Find the value of X
The measure or value of x = 55°. This is solved using the Tangent, Secant and Arc theorems.
What is the explanation for the above response?Note that the Measure of and x (m∠x) = (Far Arc - Near Arc)/2
Where
Far Arc = 360 - 65 - 120 = 175°
Near Arc = 65°
thus, m∠x = (175-65)/2
m∠x = 55°
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To qualify to compete in the high jump finals, athletes must jump a certain height in the
semi-finals. Jon jumped 1 inches below the qualifying height, but his friend Anthony
made it to 2 inches above the qualifying height. How much lower was Jon's semi-final
jump compared with Anthony's?
Jon's semi-final jump compared with Anthony's was 3 inches lower. This was based on the heights given.
How to find the value?Given that Jon jumped 1 inches below the qualifying height, but his friend Anthony
made it to 2 inches above the qualifying height.
In this case, the difference in the jump will be gotten by subtracting the values. This will be illustrated as:
= Anthony's jump - Jon's jump
= 2 - (-1)
= 2 + 1
= 3
Therefore, Jon was 3 inches lower.
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Given FE=23.5, find BD.
Answer:
11.75
Step-by-step explanation:
The required triangle is attached below :
The triangle AFE has it's by the mid segment as BD ;as B is the mid-point of line EA ; and D is the mid-point of line FA ;
HENCE, The Length of the midsegment BD = 1/2FE
Hence, BD =. 1/2 * 23.5
BD = 23.5 / 2 = 11.75
Calculate the speed of a wave with a frequency of 2 Hz, amplitude of 3m, and a wavelength of 10m
The speed of a wave is the product of the wavelength and its frequency.
The speed of the wave is 20m/s
Given
\(\lambda = 10m\) --- the wave length
\(f =2Hz\) --- the frequency
\(A = 3m\) --- the amplitude
The speed of wave (v) is calculated as follows:
\(v =f\lambda\)
Substitute values for f and \(\ambda\)\(\lambda\)
\(v = 2Hz \times 10m\)
\(v = 20ms^{-1}\)
Hence, the speed of the wave is 20m/s
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Find the measure of the missing angles please help
Answer:
Angle x = 90 - 47 = 43 degrees
Angle g = 90 - 43 = 47 degrees
Step-by-step explanation:
9. Delia bought $45 dollars worth of clothes, but the total including sales tax came to $54. What is
the sales tax rate that Delia paid?
of the vehicles
Answer:
20%
Step-by-step explanation:
You want to know the tax rate if the added tax brings the cost of $45 purchase to a total of $54.
MultiplierThe multiplier applied to a purchase cost to add the tax is ...
(1 +r)
where r is the tax rate.
Here, that means ...
45(1 +r) = 54
1 +r = 54/45 = 1.20
r = 1.20 -1 = 0.20 = 20%
The tax rate Delia paid on the articles she bought was 20%.
de su
1
5
El tanque de gasolina del auto de Chris está lleno a
3
de su capacidad. Después de comprar 11 galones de gasolina, está a
capacidad. ¿Cuántos galones caben en el tanque del auto de Chris?
Please help me and show work please
Answer:
\(x=2\)
Step-by-step explanation:
Since the scale is in equilibrium, both sides must be equal. Therefore, we have the following equation:
\([\text{Left Side} ]3x+3=[\text{Right Side}]9\)
Solving for \(x\):
\(3x+3=9,\\3x=6,\\x=\boxed{2}\)
Answer:x=2
Step-by-step explanation: try to first set up an equation. First we can see the scale is balanced so we know each side is equal to each other. You have 3 x boxes and 3 circles so our first side will be 3x+3. Now let’s move onto the second side. It has 9 circles so 3x+3=9. Now let’s solve!
Subtract 3
3x=6
Now divide by 3
X=2
Hope this helps
provided
What is the value of 2 in the equation 60x = 360x
what is the area of the figure
Answer:
A = 2184 cm²
Step-by-step explanation:
the area (A) of the figure is calculated as
A = \(\frac{1}{2}\) h(b₁ + b₂)
where h is the perpendicular height between the bases b₁ and b₂
here h = 42 , b₁ = 52 , b₂ = 52 , then
A = \(\frac{1}{2}\) × 42 × (52 + 52) = 21 × 104 = 2184 cm²
Answer:
A = 2184 cm2
Step-by-step explanation:
Area of a parallelogram:
\(A = b*h\)
\(b=52,h=42\)
\(A=(42)(52)=2184cm^{2}\)
Hope this helps.
3x+12y=-8 show ur work
Here is the attached image for the answer. If you write it in in slope-intercept form, y=mx+b. You will get the answer below in the attached image.
please help I'm so confused I don't understand what im getting wrong
Answer: x=5±sqrt2
Step-by-step explanation:
(x-5)^2=2 take the principal and negative root of both sides
x-5=±sqrt2 add 5 to both sides
x=5±sqrt2
Answer: x = 5 \(\pm\sqrt{2}\)
Step-by-step explanation:
To solve, we will isolate the variable x.
Given:
(x - 5)² = 2
Square root both sides of the equation:
x - 5 = \(\pm\sqrt{2}\)
Add 5 to both sides of the equation:
x = 5 \(\pm\sqrt{2}\)
6The table below represents the charges for using the Internet at a cafe. 3 Number of Minutes Amount Charged (in dollars) 7.5 30 R. 120 12 220 Write an equation in slope-intercept form that describes the relationship between the number of minutes, x, and the amount charged, y.
Answer:
Step-by-step explanation:
y=mx+b
m=(y2-y1)/((x2-x1)
m=(12-7.5)/(120-30)
m=0.05
y=0.05x+b, using point (30,7.5)
7.5=0.05(30)+b
7.5=1.5+b
b=6
y=0.05x+6
look at attachment!!!!
Answer:
x = 5
Step-by-step explanation:
We know that BD = 2x - 1 and BC + CD = BD. Thus, we can set the sum of (x- 3) and 7 equal to 2x - 1 to find x:
BC + CD = BD
x - 3 + 7 = 2x - 1
x + 4 = 2x - 1
x + 5 = 2x
5 = x
Thus, x = 5
Checking the validity of our answer:
We can check that our answer is correct by plugging in 5 for x in x - 3 and 2x - 1 and checking that we get the same answer on both sides of the equation:
5 - 3 + 7 = 2(5) - 1
2 + 7 = 10 - 1
9 = 9
Thus, our answer is correct.
i don’t understand how to do this for home work
Answer:
i dont know either
Step-by-step explanation:
PreCalc work, Need help with writing piece wise functions with graphs level 2. Giving branliest.
The piece-wise linear functions can be written as follows:
\(f(x) = -0.5x + 3, x < 5\).\(f(x) = -5, x = 5\)\(f(x) = -x + 9, x > 5\).What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.For x less than 5, the y-intercept is of b = 3 and the function also gos through (2,2), hence the slope is:
m = (2 - 3)/(2 - 0) = -0.5.
Hence the rule is:
\(f(x) = -0.5x + 3, x < 5\).
When x = 5, the function is constant at -5, hence:
\(f(x) = -5, x = 5\)
For x less than 5, the function goes through points (6,3) and (7,2), hence the slope is:
m = (2 - 3)/(7 - 6) = -1.
Then:
y = -x + b
When x = 6, y = 3, hence the y-intercept is given as follows:
3 = -6 + b
b = 9.
Hence the rule is:
\(f(x) = -x + 9, x > 5\).
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Write the next three terms in each sequence. Make sure your
answers are separated by a comma and a space; like 1, 2, 3
5.1, 6.2, 7.3, 8.4, ...
Solve each system of equations by elimination.
y= -x+1 y=4x-14
By ELIMINATION
Answer:
X=3, y=-2
Step-by-step explanation:
can someone write −4 and (6, 4) in standard form. -4 is the slope. I need it as one answer.
Answer:
y = -4x + 28
Step-by-step explanation:
yeah-ya........ right?
Step-by-step explanation:
what is the standard form for your teacher ?
because that is absolutely not agreed on worldwide (and even between teacher and teacher in the same region).
there are 2 main forms :
the general slope intercept form is
y = ax + b
a is the slope. and is here -4.
b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).
we get b by using the point coordinates in the half finished equation :
4 = -4×6 + b = -24 + b
28 = b
so, the equation is
y = -4x + 28
the general slope point form is
y - y1 = a(x - x1)
where a (often called m) is again the slope, and x1, y1 are the coordinates of a given point.
so, we have
y - 4 = -4(x - 6)
If f(x) = -3x - 5 and g(x) = 4x-2, find (f -g)(x).
Answer:
(f - g)(x) = -7x - 3
Step-by-step explanation:
Step 1: Define
f(x) = -3x - 5
g(x) = 4x - 2
Step 2: Find (f - g)(x)
(f - g)(x) = -3x - 5 - (4x - 2)
(f - g)(x) = -3x - 5 - 4x + 2
(f - g)(x) = -7x - 3