Select all that apply.
The equation of a line can be found for which situations?
Two points on the line are known.
Three points in the coordinate plane are known.
The slope is known
A point on the line and the slope are known.
A point on the line and another point in the coordinate plane are known.

Answer:

Your answer is C.

Step-by-step explanation:

Mark as brainlest this time lol.

The solution to the system (a) is "NO solution"

From the question, we have the following parameters that can be used in our computation:

4m-3n=27

8m-6n=16

Multiply (1) by 2

So, we have

8m-6n=54

8m-6n=16

Subtract the equations

So, we have the following representation

0 = 38

The above equation is false

Hence, the system has no solution

The second system of equation has missing details

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See the two pictures, explanation and solution ^_^

In order to check your answer is true or false. We check the two analyzes whether the number from the equation becomes 19x. First you multiply the first number in the first bracket by the second number in the second bracket 2x by 3 to get 6x. Secondly, you multiply the second number of the first bracket by the first number of the second bracket -5 by 4x to get -20x. The sum of the two numbers that you extracted from multiplying the numbers in parentheses (6x) + (-20x) equals - 14x, so this number is not the number 19x, so the first analysis error . Try it for the second analysis .

You can multiply the parentheses together and check the solution too.

\((2x - 5)(4x + 3) \\ (2x)(4x) + (2x)(3) + ( - 5)(4x) + ( - 5)(3) \\ = 8 {x}^{2} + 6x - 20x - 15 \\ = 8 {x}^{2} - 14x - 15\)

\((8x - 5)(x + 3) \\ (8x)(x) + (8x)(3) + ( - 5)(x) + ( - 5)(3) \\ = 8 {x}^{2} + 24x - 5x - 15 \\ = 8 {x}^{2} + 19x - 15\)

Answer:

-30

Step-by-step explanation:

We are going to substitute c as -3 in all the places it is shown:

(x is just a variable I used to represent the answer)

5c + 4c + 1c = x

5(-3) + 4(-3) + 1(-3) = x

(-15) + (-12) + (-3) = x

-30 = x

The answer is -30

Answer:

Solution

If C=-3

5×-3+4×-3+1×-3

= -30

I think it will help you.

Answer:

what do you want me to help you with cuz there's nothing attached??

Step-by-step explanation:

The number of three-letter code can be formed using 12 Greek alphabets is 1320.

For the given question.

There are 12 Greek alphabet used for making the three-letter code with out repetition.

You have 12 symbols from which to choose for the first letter, 11 for the second (because you're already using one), and 10 for the third.

Using the permutation;

Number of code formed = 12×11×10

Number of code formed = 1320.

Thus, the number of three-letter code can be formed using 12 Greek alphabets is 1320.

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Answer:

19

Step-by-step explanation:

f(x) = 2x^2 + 1

Let x= 3

f(3) = 2 * (3)^2 +1

Exponents first

     = 2 * 9+1

Then multiply

     = 18+1

Add

   = 19

Answer:

THE ANSWER IS 19 JUST TOOK THE UNIT TEST

Step-by-step explanation:

9514 1404 393

Explanation:

The length CD can be found from the Pythagorean theorem.

  CF² + CD² = DF²

  2² + CD² = (2√10)²

  CD² = 40 -4 = 36

  CD = √36 = 6

From here, any of several methods could be used to find the area of ΔDEF.

One of them is to subtract the areas of the triangles that are not ΔDEF from the area of the rectangle ABCD.

  area ABCD = bh = (6 cm)(5 cm) = 30 cm²

  area ΔADE = 1/2bh = 1/2(4 cm)(5 cm) = 10 cm²

  area ΔBEF = 1/2bh = 1/2(2 cm)(3 cm) = 3 cm²

  area ΔCDF = 1/2bh = 1/2(6 cm)(2 cm) = 6 cm²

Then the area of interest is ...

  area ΔDEF = area ABCD -area ΔADE -area ΔBEF -area ΔCDF

  area ΔDEF = (30 -10 -3 -6) cm²

  area ΔDEF = 11 cm²

__

Alternate solution

If we define A as the origin of a coordinate system, then the coordinates of the vertices of ΔDEF are ...

  D(0, 5), E(4, 0), F(6, 3)

The area can be computed as half the absolute value of the sum of the determinants of 2×2 matrices consisting of adjacent points.

  \(A=\dfrac{1}{2}\left|\left|\begin{array}{cc}0&5\\4&0\end{array}\right|+\left|\begin{array}{cc}4&0\\6&3\end{array}\right|+\left|\begin{array}{cc}6&3\\0&5\end{array}\right| \right|\\\\=\dfrac{1}{2}|(0-20)+(12-0)+(30-0)|=\dfrac{1}{2}(22) = \boxed{11}\)

_____

Additional comment

The solution using coordinates is effectively equivalent to the computation of the area of trapezoid ABFD, less the areas of triangles EBF and AED.

Answer:

Step-by-step explanation:

A

Answer: The answer is 84

The total of the angels of the triangle always equals 180. So 62+34=96 therefor 96-180=84.

Answer:

The answer is C.

Step-by-step explanation:Th answer is C because you identify pi and devide it 12 which gives you the answer is which is C.

Answer:

\(\frac{1}{2} \sqrt{2+\sqrt{3}\)

Step-by-step explanation:

just took the test

Answer:

  (c)  (1, 3)

Step-by-step explanation:

The solution to the system of equations shown on the graph is the point where the lines intersect.

__

The coordinates of the point of where the lines cross are (1, 3).

The solution to the system of equations is (x, y) = (1, 3).

Answer:

1, 2, 4, 13, 26, 52 = 52's factors

Step-by-step explanation:

6 factors of 52

Answer:

6

Step-by-step explanation:

1, 2, 4, 13, 26, 52.

Answer:

Two lines that pass through the point (4, 8) are y = 3·x - 4 and y = -5·x + 28

Step-by-step explanation:

The equation of two lines that passes through the point (4, 8) are found using the general form of a straight line equation, y = m·x + c, where;

m = The slope of the line

c = The y-intercept

Therefore, two distinct line pass through a given point if they have a different slope, m, and a different y-intercept, c, as follows;

Fot the given point, the x-value = 4, and the y-value = 8, we get;

8 = m₁·4 + c₁...Line 1 and

8 = m₂·4 + c₂...Line 2

m₁ ≠ m₂

If we set m₁ = 3, for line 1, we get;

8 = 3 × 4 + c₁ = 8 = 12 + c₁

∴ c₁ = 8 - 12 = -4

c₁ = -4

The equation for Line 1 for all x and y-values, where, m₁ = 3, c₁ = -4, becomes;

y = 3·x - 4

The equation for Line 2 where m₂ = -5 for example, we have;

8 = -5 × 4 + c₂

∴ c₂ = 8  + 5 × 4 = 28

c₂ = 28

The general form for the equation for Line 2 becomes;

y = -5·x + 28

Therefore;

The equation of the two formed lines that pass through the point (4, 8) are;

y = 3·x - 4 and y = -5·x + 28

$390 represent 100%. To find what percentage $7.80 represent, we can use the next proportion:

Solving for x,

The sales tax rate is 2%

To make 4 dozen cookies she would need

→ 3/2 cup peanut butter

→  3  cup of vegetable shortening

→ 1 1/2 cups of firmly packed light brown sugar

→ 6 tablespoons of milk

→ 2 3/2 tablespoons of vanilla extract

→  2 cups of flour

→ 3/2 teaspoon of baking soda

→ 1/2 teaspoon salt

To make 4 dozen cookies

she will need double the items which are mentioned in the list

thus the required list will look like this

3/4 × 2 = 3/2 cup peanut butter

3/2 cup of vegetable shortening = 3/2 × 2 = 3  cup of vegetable shortening

1 1/4 cups of firmly packed light brown sugar = 1 1/4 × 2 = 1 1/2 cups of firmly packed light brown sugar

3 tablespoons of milk = 3 × 2 = 6 tablespoons of milk

2 3/4 tablespoons of vanilla extract = 2 3/2 tablespoons of vanilla extract

1 large egg = 1× 2 = 2 large eggs

1 1/2 cups flour = 1 1/2×2 = 1 + 1 = 2 cups of flour

3/4 teaspoon baking soda = 3/2 teaspoon of baking soda

1/4 teaspoon salt = 1/4 × 2 = 1/2 teaspoon salt

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Answer:

f(0) = 2

Step-by-step explanation:

f(x) = 7x+2

→ f(0)

f(0) = 7(0)+2

= 0+2

= 2

Answer:

f (0) = 2

Step-by-step explanation:

f (x) = 7x + 2

f (0) = 7 × 0 + 2

= 2

In school suspension

Answer:

the cost per liter of the paint is equal to 24 8/liter

Hope this helps :)

Answer:

Step-by-step explanation:

x=5\(\sqrt{2}\) because it is an isosceles right triangle , as we have and angle of 45 and one of 90

y is the hypothenuse of the triangle

y^2=(5\(\sqrt{2}\))^2+(5\(\sqrt{2}\))^2=50+50=100

y=10

the larger triangle is 30-60-90

side opposite of 90 degrees is 2y

r=20

side opposite of 60 degrees is y\(\sqrt{3}\)

z=10\(\sqrt{3}\)

Answer:

its a acute 120 degree angle

the formula for dy/dx in terms of x and y is:

dy/dx = -3/(x) * y

the value of dy/dx at the point (81, 16) is - 16/27

To find the formula for dy/dx in terms of x and y, we'll differentiate the given equation with respect to x:

\((90x^{(3/4)})(y^{(1/4)})\) = 4860

Differentiating both sides with respect to x:

d/dx [\((90x^{(3/4)})(y^{(1/4)})\)] = d/dx [4860]

Using the product rule for differentiation:

(3/4)(90)\((x^{(-1/4)})(y^{(1/4)})\) + (90\(x^{(3/4)\))(1/4)(\(y^{(-3/4)\))(dy/dx) = 0

Simplifying:

(3/4)(90)\((x^{(-1/4)})(y^{(1/4)})\)  + (90\(x^{(3/4)\))(1/4)(\(y^{(-3/4)\))(dy/dx) = 0

Rearranging terms and isolating dy/dx:

(dy/dx) = -[(3/4)(90)\((x^{(-1/4)})(y^{(1/4)})\)] / [(90\(x^{(3/4)}\))(1/4)(\(y^{(-3/4)\))]

Simplifying further:

(dy/dx) = -3/(x) * y

Therefore, the formula for dy/dx in terms of x and y is:

dy/dx = -3/(x) * y

Now let's find the value of dy/dx at the point (81, 16):

Substituting x = 81 and y = 16 into the formula:

dy/dx = -3/(81) * 16

      = -3/81 * 16

      = - 16/27

Therefore, the value of dy/dx at the point (81, 16) is - 16/27

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Answer:

3) 161

Step-by-step explanation:

Indeed this is pretty easy :D

What we need to find is the surface area of the rectangular prism excluding the area of the hole. First, let's find out the width of the box, we can do this by using the area, the length, and the height, and we can write:

\(V=lhw\)

(Formula to find the volume of a rectangular prism)

\(140=(4)(7)w\\ 140=28w\\ 5=w\)

Now that we have the width, can find the area of the top part of the prism:

\((5)(4)=20\)

The area of the top part of the prism is 20, and the circle has 1/4 of the area of that:

\(A_{circle} = \frac{A_{top part} }{4}\\ A_{circle} = \frac{20}{4} \\ A_{circle} = 5\)

So the area of the circle is 5. Now we just need to find the surface area of the rectangular prism and subtract that result with the area of the circle:

\(A_{circle}=5\\ SA_{rec.pri.}=2(lh+lw+wh)\\ SA_{rec.pri.}=2((4)(7)+(4)(5)+(5)(7))\\ SA_{rec.pri.}=2(28+20+35)\\ SA_{rec.pri.}=2(83)\\ SA_{rec.pri.}=166\)

Subtract these two results...:

\(166-5=161\)

And we are done!

Looking at the graph, we have a periodic function, and it's period is equal to 2 units.

The graph also goes from negative infinity to positive infinity in each cycle.

So this is a tangent function. The tangent function is given by:

The curvature of the curve in each cycle changes when y = -1 (and the first curvature after zero occurs at x = 1), so the vertical shift is d = -1 and the horizontal shift is b = -1.

The period is approximately 2 units, so we have:

Now, to find the vertical scaling, let's use the approximate point (1.5, 2):

So our function is:

There are 3^100 possible combinations of answers for a student taking a test with 100 true/false questions where answers may be left blank.

To answer this question, we need to consider the fact that each question on the test has two possible answers - true or false. Therefore, for each of the 100 questions, there are 2 possible ways that a student can answer the question.
If a student answers every single question on the test, there are a total of 2^100 possible combinations of answers. This is because for each question, there are 2 possibilities, and there are 100 questions in total.
However, the question states that answers may be left blank. This means that for each question, there are now 3 possibilities - true, false, or blank. Therefore, the total number of possible combinations of answers is now 3^100.
To put this into perspective, 3^100 is an extremely large number - it is approximately 5.15 x 10^47. This means that even if every single person on Earth were to take this test and answer every question in a unique way, it would still be highly unlikely that any two people would have the same combination of answers.
In conclusion, there are 3^100 possible combinations of answers for a student taking a test with 100 true/false questions where answers may be left blank.

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\((\stackrel{x_1}{4}~,~\stackrel{y_1}{20})\hspace{10em} \stackrel{slope}{m} ~=~ 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{20}=\stackrel{m}{ 1}(x-\stackrel{x_1}{4}) \\\\\\ y-20=x-4\implies {\Large \begin{array}{llll} y=x+16 \end{array}}\)

The mean of the total length is 36 inches, and the standard deviation is 0.17 inches. This means that on average, the total length of the sticks will be 36 inches, and there will be a variation of approximately 0.17 inches around this mean length.

The mean of the total length for both Alex and Brandon can be determined by multiplying the mean length of a single stick by the number of sticks required for each toy. In this case, each toy requires four 9-inch long sticks.

Mean of the total length for both Alex and Brandon: 4 sticks * 9 inches = 36 inches.

Since both Alex and Brandon have sticks with the same mean length and standard deviation, the standard deviation of the total length for both of them remains the same.

Standard deviation of the total length for both Alex and Brandon: 0.17 inches.

Therefore, The mean of the total length is 36 inches, and the standard deviation is 0.17 inches. This means that on average, the total length of the sticks will be 36 inches, and there will be a variation of approximately 0.17 inches around this mean length.

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