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ankoles [38]
3 years ago
14

Which of the following functions best describes this graph?

Mathematics
1 answer:
baherus [9]3 years ago
6 0

Answer:

B

Step-by-step explanation:

The graph has zeros at x = - 2 and x = - 6, thus

the factors are (x + 2) and (x + 6)

The function is the product of its factors, thus

y = a(x + 2)(x + 6) ← where a is a multiplier

Let a = 1 and expand the factors

y = x² + 6x + 2x + 12 ( collect like terms )

y = x² + 8x + 12 → B

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What is the distance between points M and N?
Free_Kalibri [48]

By using <em>triangle</em> properties and the law of the cosine twice, we find that the distance between points M and N is approximately 9.8 meters.

<h3>How to determine the distance between two points</h3>

In this problem we must determine the distance between two points that are part of a triangle and we can take advantage of properties of triangles to find it. First, we determine the measure of angle L by the law of the cosine:

\cos L = \frac{(19.6\,m)^{2}-(14.8\,m)^{2}-(21.4\,m)^{2}}{-2\cdot (14.8\,m)\cdot (21.4\,m)}

L ≈ 62.464°

Then, we get the distance between points M and N by the law of the cosine once again:

MN = \sqrt{(7.4\,m)^{2}+(10.7\,m)^{2}-2\cdot (7.4\,m)\cdot (10.7\,m)\cdot \cos 62.464^{\circ}}

MN ≈ 9.8 m

By using <em>triangle</em> properties and the law of the cosine twice, we find that the distance between points M and N is approximately 9.8 meters.

To learn more on triangles: brainly.com/question/2773823

#SPJ1

6 0
2 years ago
Simplify 12(x-4)+4(x+7)
My name is Ann [436]

Expand

12x - 48 + 4x + 28

Collect like terms

(12x + 4x) + (-48 + 28)

Simplify

<u>16x - 20</u>

5 0
3 years ago
Read 2 more answers
Please help me with number 1 please help ???
stira [4]

Answer:

mean: 26

median: 28

mode: 28

range:19

Step-by-step explanation:

hipe this helped hun

3 0
2 years ago
Solve the system by substitution.<br>3x-6y=2<br>4x+3y=-1​
crimeas [40]

Answer:

y = -1/3

x = 0

Step-by-step explanation:

3x-6y = 2    then 3x = 2+6y,   x=(2+6y)/3

4x+3y = -1

substitute for x

4(2/3+2y)-6y = 2

8/3+8y-6y = 2

reduce

2y = 2-8/3

2y = -2/3

divide both sides by 2

y = -1/3

4x+3(-1/3) = -1

4x = 0

x = 0

8 0
3 years ago
3(squared)+4(squared)=r(squared)
nikdorinn [45]

Answer:

3^2 + 4^2= 25

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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