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storchak [24]
3 years ago
13

We are two integers whose product is -36 and whose sum is -16 what are we?

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
6 0
-18 and +2
;;;;;;;;;;;;;;;;;;
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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
What is (2x + 1)(3x + 7) simplified
motikmotik

Answer:

6x^2+14x+3x+7=6x^2+17x+7

6 0
3 years ago
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Josh estimates the height of his desk. what is the reasonable estimate?…
Ugo [173]
I cant answer if there is no info
5 0
3 years ago
Simplify the following expression. (19x + 4y) + (49x + 32y)
Valentin [98]

Answer:

68x + 36y

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Combining like terms

Step-by-step explanation:

<u>Step 1: Define expression</u>

(19x + 4y) + (49x + 32y)

<u>Step 2: Simplify expression</u>

  1. Combine like terms (x):                    68x + 4y + 32y
  2. Combine like terms (y):                    68x + 36y
4 0
3 years ago
Evaluate b – 2a – c for a = –3, b = 9, and c = –6.
telo118 [61]
<span>b – 2a – c
= 9 - 2(-3) - (-6)
= 9 + 6 + 6
= 21

answer
21</span>
3 0
3 years ago
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