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igomit [66]
2 years ago
9

Select the correct answer.

Mathematics
1 answer:
antiseptic1488 [7]2 years ago
4 0

Answer: Oc. 28

Step-by-step explanation:

5^2=25

3+5^2=3+25=28

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The answer is B.
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Caitlyn is saving for vacation. She already has $38 and plans to save $18 per week until she reaches her goal of $524. Caitlyn’s
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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
I would appreciate it a lot
Volgvan

Answer:

C

Step-by-step explanation:

f(x) = Price

2.00 = Price of one ride

x = number of times ridden

f(x) = 2x

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3 years ago
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Mrs . Porcelli’s classroom bulletin board is 2/1/4 feet long. Ms .Smith bulletin board is 3 times as long Mrs . Porcelli’s.How l
snow_lady [41]

Answer:

6\frac{3}{4}\ ft

Step-by-step explanation:

we know that

To find out how long is Ms.Smith’s bulletin board, multiply Mrs . Porcelli’s bulletin board by 3

so

2\frac{1}{4}(3)

but first convert mixed number to an improper fraction

so

2\frac{1}{4}\ ft=2+\frac{1}{4}=\frac{9}{4}\ ft

substitute

\frac{9}{4}(3)=\frac{27}{4}\ ft

convert to mixed number

\frac{27}{4}\ ft=\frac{24}{4}+\frac{3}{4}=6\frac{3}{4}\ ft

3 0
3 years ago
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