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lys-0071 [83]
3 years ago
6

Which of the following is not an example of a parent function?

Mathematics
1 answer:
Galina-37 [17]3 years ago
4 0
The correct answer is 'C'
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What does "solution" mean?
ch4aika [34]

Answer:

A solution to a linear equation means that the ordered pair is a point that lies on that line.

If someone were to say (2,5) is a solution to the equation y= 2x+3, you could check them by plugging in 2 where the variable "x" and seeing if y =5.

In this case,

y= 2(2)+3

y=7

(2,5) is not a solution.

5 0
3 years ago
Find the equation of the line that passes through the point (7,5) and is perpendicular to the line 2x - 3y=6
balu736 [363]
(7,5);\ \ \ \  2x - 3y=6 \ \ / subtract \ 2x \ from \ each \ side \\ \\-3y = -2x + 6\ \ /  divide \    each \term \ by \ (-3) \\ \\ y =  \frac{2} {3}x -2\\ \\ The \ slope \ is :m _{1} =  \frac{ 2}{3} \\ \\ If \ m_{1} \ and \ m _{2} \ are \ the \ gradients \ of \ two \ perpendicular \\ \\ lines \ we \ have \\\\\ m _{1}*m _{2} = -1

\frac{2}{3}\cdot m_{2}=-1\ \ / \cdot (\frac{3}{2})\\\\m_{2}=-\frac{3}{2}\\\\Now \ your \ equation \ of \ line \ passing \ through \ (7,5) would \ be: \\ \\ y=m_{2}x+b \\ \\5=-\frac{3}{2}\cdot 7  + b \\ \\ 5= -\frac{21}{2}+b\\ \\b=5+\frac{21}{2} \\ \\b= \frac{10}{2}+\frac{21}{2}\\ \\b= \frac{31}{2}\\\\b=15.5 \\ \\ y = -\frac{3}{2}x +15.5
8 0
3 years ago
Solve the equation for θ, where
elena-s [515]

Answer:

\dfrac{\pi}{4},\dfrac{3\pi}{4}

Step-by-step explanation:

2\sin^2(\theta)=1

Divide both sides by 2:

\sin^2(\theta)=\dfrac{1}{2}

Take the square root of both sides:

\sin(\theta)=\dfrac{1}{\sqrt{2}}=\dfrac{\sqrt{2}}{2}

The only two places on the unit circle where the y value of the point is \dfrac{\sqrt{2}}{2} are at:

\dfrac{\pi}{4},\dfrac{3\pi}{4}

Hope this helps!

4 0
3 years ago
Please help!!! will pick brainliest
horrorfan [7]

9514 1404 393

Answer:

  • surface area: 456 cm²
  • volume: 408 cm³

Step-by-step explanation:

The surface area of the figure is the total of the areas of the two triangular bases and the three rectangular faces.

  SA = 2(1/2)(8 cm)(6 cm) + (17 cm)(6 cm + 8 cm  + 10 cm)

  = 48 cm² + 408 cm²

  SA = 456 cm²

__

The volume is the product of the area of the triangular base and the length of the prism.

  V = (1/2)(8 cm)(6 cm)×(17 cm) = (24 cm²)(17 cm)

  V = 408 cm³

6 0
3 years ago
Read 2 more answers
Esther cut a square paper vertically to make two rectangle pieces. Each rectangle had a perimeter of 63 inches.
Studentka2010 [4]

Answer:

Side of the square paper = 21 inches

Step-by-step explanation:

Let the square paper is having measure of each side = a inches

Esther cut this square piece into two pieces.

Let the other side of one rectangle piece = x inches

Perimeter of this piece = 2(a + x) inches

Similarly dimensions of the other rectangular piece will be = a inches × (a - x) inches

Perimeter of this piece = 2[a + (a - x)]

Since both the rectangular pieces have the same perimeter = 63

So, 2(a + x) = 2[a + (a - x)] = 63

2(a + x) = 2(2x - x)

a + x = 2a - x

2a - a = 2x

a = 2x

x = \frac{a}{2}

Therefore, Perimeter = 2(a + x) = 2(a + \frac{a}{2}) = 63

2\times \frac{3a}{2} = 63

3a = 63

a = 21

Therefore, measure of the sides of the square is 21 inches.

5 0
3 years ago
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