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2 years ago

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Solve by factoring.. m^2 + 8m + 7 = 0

1 answer:

castortr0y [4]2 years ago

3 0

In order to solve an equation by factoring, it should be that the equation is equal to zero.
m^2 + 8m + 7 = 0
For this case we have, to do completing the square in order to factor this equation.
<span>
m^2 + 8m = -7
</span><span>m^2 + 8m + 16 = -7 +16
</span><span>(m+4) (m+4) = 9
</span><span>(m+4)^2 = 9

Take the square root of both sides,
m+4 = 3
m = -1</span><span>
</span>

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How to simplify -(-7y+12)

faust18 [17]

-(-7y + 12) = 7y - 12
u are distributing the -sign through the parenthesis...so u take the number outside of the parenthesis (and if it just a sign, the number is 1)...and u multiply it by everything in the parenthesis.
-1(-7y + 12) = -1 * -7y + (-1) * 12 = 7y + (-12) = 7y - 12

7 0

2 years ago

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The correct answer if F

Step-by-step explanation:

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3 years ago

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Melissa drove her car 200 kilometers in 2.5 hours. At this rate

Bogdan [553]

80, divide 200 by 2.5 and you get 80. Check by multiplying 2.5 and 80, which equals 200

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2 years ago

If Diana walks forward and her angle looking to the top of the building changes to 40°, how much closer is she to the building?

elena55 [62]

The closer Diana gets to the building, the smaller the angle becomes

Diana is 17.6 feet closer to the building

<h3>How to calculate the distance from the building</h3>

To calculate the distance between her and the building, we make use of the following tangent ratio

$\tan(\theta) = \frac{h}{d}$

Where:

$\theta = 40^o$
h represents the height of the building; h = 130
d represents the distance from the building

So, we have:

$\tan(40) = \frac{130}{d}$

Make d the subject

$d = \frac{130}{\tan(40)}$

Evaluate tan(40)

$d = \frac{130}{0.8391}$

$d = 154.93$

Initially, Diana is at a distance of 172.53.

The difference in both distance is:

$\Delta d = 172.53 - 154.93$

$\Delta d = 17.6$

Hence, Diana is 17.6 feet closer to the building

Read more about trigonometry ratios at:

brainly.com/question/4326804

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1 year ago

Image on straight line graphs- please help ASAP

MissTica

Plug in (7, 12) for x and y in the equation.

12 = 2(7) + 1
12 = 14 + 1
12 ≠ 15

Therefore, (7, 12) is not on the straight line equation.

6 0

3 years ago