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marshall27 [118]
3 years ago
14

I need help with this question please I’ll mark as brainliest

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
7 0

Answer:

C

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (8, - 14), thus

y = a(x - 8)² - 14

To find a substitute (5, 13) into the equation

13 = a(5 - 8)² - 14

13 = a(- 3)² - 14

13 = 9a - 14 ( add 14 to both sides )

27 = 9a ( divide both sides by 9 )

a = 3

Thus

y = 3(x - 8)² - 14 → C

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Through: (-3,0), perp. to y = 3x - 1
Marrrta [24]

Answer:

y=-\dfrac{1}{3}x-1

Step-by-step explanation:

<u>Given: </u>

line y=3x-1

point (-3,0)

<u>Write:</u> equation of the line that is perpendicular to the given and passes through the point (-3,0)

<u>Solution:</u>

The slope of the given line is m=3

If m_1 is the slope of perpendicular line, then

m\cdot m_1=-1\\ \\3m_1=-1\\ \\m_1=-\dfrac{1}{3}

So, the equation of the needed line is y=-\dfrac{1}{3}x+b.

Find b. This line passes through the point (-3,0), so its coordinates satisfy the equation:

0=-\dfrac{1}{3}\cdot (-3)+b\\ \\0=1+b\\ \\b=-1\\ \\y=-\dfrac{1}{3}x-1

7 0
3 years ago
if Pentagon ABCDE is rotated 180 clockwise to 8 pentagon a b c d and e the coordinates for a will be what
11111nata11111 [884]
 <span>Point A with coordinates (x,y) rotated 180 degrees around O gives point A' with coordinates (-x,-y). 
Hope this helps :D

</span>

3 0
3 years ago
What is the volume of the prism?<br><br> 14 m3<br> 24 m3<br> 30 m3<br> 44 m
geniusboy [140]

Answer:

the answer is 24 m3

                                             

6 0
3 years ago
ANSWER QUICK!!! IM TAKING A TEST AND I WILL MARK BRAINLIEST!!!
gtnhenbr [62]

Answer:

C = 5Q

Step-by-step explanation:

C = Length of Cloth in Meters (C)

Q = Number of Quilts Made (Q)

C = 5Q

Change C for the numbers under (Length of Cloth in Meters (C))
Nad change Q for the numbers under (Number of Quilts Made (Q))

So the new equations would be:

0 = 5(0) --------->  0 = 0

5 = 5(1) ---------> 5 = 5

10 = 5(2) ---------> 10 = 10

15 = 5(3) ---------> 15 = 15

20 = 5(4) ---------> 20 = 20

25 = 5(5) ---------> 25 = 25

So the only option that amkes sense is (C = 5Q)

3 0
2 years ago
Polygon PQRS, shown in the figure, is dilated by a scale factor of 0.5 with the origin as the center of dilation, resulting in p
nata0808 [166]

Based on the above:

The slope of P'Q'  is = -3/2

The length of  P'Q' is approximately = \sqrt[3]{13}

<h3>What is the polygon about?</h3>

The slope of P'Q'

=  -6/4 = -3/2

The length of  P'Q' =

 P'Q' = \sqrt{6^2 + 4^2}

= \sqrt{52}

= \sqrt[2]{13}

Therefore;

P'Q' = \frac{3}{2}

 P'Q' =    \frac{3}{2}  x \sqrt[2]{13}

= \sqrt[3]{13}

Learn more about polygon from

brainly.com/question/1592456

#SPJ1

7 0
2 years ago
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