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Levart [38]
2 years ago
15

Evaluate the expression for x = 3 and y = 6. 5(x2 + y) + y2

Mathematics
2 answers:
Svetllana [295]2 years ago
6 0

Answer:

48

Step-by-step explanation:

5(x2+y)+y2

5 x (<u>3 x 2</u> + 6) + 6 x 2

<u>5 x 6</u> + 6 + 6 x 2

30 + 6 + <u>6 x 2</u>

<u>30 + 6 </u>+ 12

36 + 12 = 48

Katen [24]2 years ago
5 0

Answer:

72

Step-by-step explanation:

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the coordinates of the vertex of a parabola in the xy-plane are (-4,k). If the y-intercept of the parabola is 12 and the parabol
svp [43]

The value of k is (A) 20/3.

<h3>What is a parabola?</h3>
  • A parabola is a planar curve that is mirror-symmetrical and roughly U-shaped in mathematics.
  • It fits various seemingly disparate mathematical descriptions, all of which can be shown to define the same curves.
  • A point and a line are two ways to describe a parabola.

To find the value of k:

  • y - b = c (x - a)²

Where (a, b) is the vertex and c is the constant.

  • (a, b) = (-4, k)
  • y - k = c (x - (- 4))²
  • y - k = c (x + 4)²

So,

  • x = 0, y = 12
  • 12 - k = 16c
  • k = 12 - 16c  ...... (1)

Then,

  • (-3, 7) = (x, y)
  • 7 - k = c (1)²
  • k = 7 - c  ...... (2)

Now,

  • 12 - 16c = 7 - c
  • 12 - 7 = 16c - c
  • 5 = 15c
  • c = 5/15 = 1/3

So, the value of k:

  • k = 12 - 16 (1/3) = 12 - 16/3 = 36-16/3 = 20/3

Therefore, the value of k is (A) 20/3.

Know more about a parabola here:

brainly.com/question/4061870

#SPJ4

The complete question is given below:

The coordinates of the vertex of a parabola in the XY plane are (-4,k). If the y-intercept of the parabola is 12 and the parabola passes through the point (-3,7), then what is the value of k?

(A) 20/3

(B) 16/5

(C) 14/3

(D) 12/5

5 0
1 year ago
Three-fourths of p is 18
never [62]
<h3><u>The value of p is 24.</u></h3>

3/4p = 18

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Divide both sides by 3.

p = 24


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3 years ago
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U=v+ 2t=
U/2t = r+2t/2t
=U/2t=r OR. r= U/2t
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