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iVinArrow [24]
3 years ago
15

Solve for x in the equation x^2+20x+100=36

Mathematics
1 answer:
Ierofanga [76]3 years ago
6 0
Factoring - I always found this to be easy (one of the few things in math that I felt was easy!)

x^2 + 20x + 100 = 36

First step is to get the right side to zero. Do this by subtracting 36.

x^2 + 20x + 64 = 0

Now we have to factor the expression. We could use quadratic formula, completing the square, or use the product/sum rule if possible (which it is).

64's factors are:
1, 64
2, 32
4, 16
8, 8

We need the two factors that sum to 20...

(x + 4)(x + 16) = 0
Set each factor to zero
x + 4 = 0 and x + 16 = 0

Solve each equation
x = -4 and x = -16

You should always check for extraneous solutions. I recommend using desmos.com to check answers! 

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As you are walking down a path, you see a sign telling the path has a 2% grade (ie., a rise of 2 metres for a horizontal change
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Answer:

Option (A)

Step-by-step explanation:

It has been given in this question that sign telling path has a 2% grade.

2% grade means a rise of 2 meters for a horizontal change of 100 m (As given in the figure attached).

All the trigonometric ratios for the angle θ between the path and the horizontal are,

Sinθ = \frac{\text{Opposite side}}{\text{Hypotenuse}}

Cosθ = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

tanθ = \frac{\text{Opposite side}}{\text{Adjacent side}}

Since measures of the opposite side and adjacent sides are given

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tanθ = \frac{2}{100}

θ = \text{tan}^{-1}(\frac{2}{100})

Option (A) will be the answer.

5 0
3 years ago
Identify the ordered pair on the graph of the equation 2x + 5y = 4.
Colt1911 [192]
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If you follow the process right and you get the equations correct, the answer should be B. (7,-2)
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Which of the following options have the same value as 25%, of 64<br> Choose 2 answers:
Harlamova29_29 [7]
What are the options?
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A triangle with the side lengths of 8, 15, 17.5 form a right triangle:
IgorLugansk [536]

It's true, just draw the sides and you'll see there's no other angle you could get.

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