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SpyIntel [72]
2 years ago
12

Write an equation of the parabola in vertex form that passes through (13, 8) and has a vertex (3, 2).

Mathematics
1 answer:
muminat2 years ago
8 0

y =  \frac{3}{50} (x - 3) {}^{2}  + 2
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What is the slope of the points (-2,7) and (2,-5)?<br> 4<br> -3<br> -12<br> 3
Dafna1 [17]

Answer:

-3

Step-by-step explanation:

Slope is equal to (-5-7)/(2-(-2)=-12/4=-3

6 0
3 years ago
Solve for x, and refer to the attached image.
AVprozaik [17]

Answer:

x=8

Step-by-step explanation:

7+5x

so basically what you have to do is take the 7 and subtract from both sides

so like this: 7-7 is 0 so that cancels then 47-7 is 40

then you take 5x and divide 40 by 5

so x=8

hope this helped!

4 0
3 years ago
The endpoints of the diameter of a circle are (−2, −3) and (4, −1). Which equation represents the circle?
Alika [10]

Answer:

The equation of circle is (x-1)^{2}+(y-2)^{2} = 18

Step-by-step explanation:

Given the endpoints of the diameter of a circle: (-2,-3) and (4,-1)

We know that the equation of circle is

(x-h)^{2} + (y-k)^{2}= r^{2}

where (x,y) is any point on the circle, (h,k) is center of the circle and r is radius of circle.

To find (h,k): the center is midpoint of diameter

Midpoint of diameter with end points (x1,y1) and (x2,y2) is given by

(  \frac{x1+x2}{2} , \frac{y1+y2}{2}  )

( \frac{-2+4}{2} , \frac{-3-1}{2}  )

(1,2)

Hence (h,k) is (1,2)

Substituting values of (h.k) and (x.y) as (1,2) and (4,-1) respectively in equation of circle, we get

(4-1)^{2} +(-1-2)^{2} = r^{2}

r^{2} = 18

Now substituting values of (h,k) and r^{2} in equation of circle, we get

(x-1)^{2}+(y-2)^{2} = 18

Hence the equation of circle is (x-1)^{2}+(y-2)^{2} = 18

5 0
3 years ago
Read 2 more answers
Identify a transformation of the function f(x) = x by observing the equation of the function g(x) = x − 16.
navik [9.2K]

The transformations are

  • (b) A vertical shift 16 units downward.
  • (d) A horizontal shift 16 units to the right

<h3>How to determine the transformation?</h3>

The functions are given as:

f(x) = x

g(x)= x - 16

When a function is shifted right, the transformation rule is:

(x, y) = (x - h, y)

This means that the transformation is (d) A horizontal shift 16 units to the right

Since the parent function is a base linear function.

The transformation can also be represented as:

(x, y) = (x, k - h)

This gives

g(x)= x - 16

This means that the transformation is (b) A vertical shift 16 units downward.

Hence, the transformations are (b) and (d)

Read more about transformation at:

brainly.com/question/11709244

#SPJ1

8 0
1 year ago
Does increase in sample size increases degrees of freedom for t-tests.
Elena-2011 [213]
Basically degrees of freedom are related to sample size (n-1). If the df increases, it also stands that the sample size is increasing; the graph of the t-distribution will have skinnier tails, pushing the critical value towards the mean.
3 0
2 years ago
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