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Ivenika [448]
3 years ago
13

Use the Pythagorean theorem to find the distance form Emma’s house to the pool

Mathematics
1 answer:
laiz [17]3 years ago
6 0

What are the measurements?

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Factor the polynomials x^2 + 15x + 56
Nina [5.8K]

Final Answer: (x + 7)(x + 8)

Steps/Reasons/Explanation:

Question/Given: Factor the polynomials x^{2} + 15x + 56

<u>Step 1</u>: Ask: Which two numbers add up to 15 and multiply to 56?

7 and 8

<u>Step 2</u>: Rewrite the expression using Step 1.

(x + 7)(x + 8)

~I hope I helped you :)~

7 0
3 years ago
Ellie wanted to know how much her mother spent on groceries weekly, so she saved each week's receipt for a whole year.
Aloiza [94]
Mean or c is the answer
7 0
3 years ago
Read 2 more answers
Sum of the maximum and minimum values ​​of y=2cos^2 x + 3sin^2 x + 5
DanielleElmas [232]

To begin with, we can simplify <em>y</em> using the Pythagorean identity:

<em>y</em> = 2 cos²(<em>x</em>) + 3 sin²(<em>x</em>) + 5

<em>y</em> = 2 (cos²(<em>x</em>) + sin²(<em>x</em>)) + sin²(<em>x</em>) + 5

<em>y</em> = 2 + sin²(<em>x</em>) + 5

<em>y</em> = sin²(<em>x</em>) + 7

Next, we can further rewrite this using the half angle identity for sine:

<em>y</em> = (1 - cos(2<em>x</em>))/2 + 7

<em>y</em> = 15/2 - 1/2 cos(2<em>x</em>)

Now, since cos(<em>x</em>) is bounded between -1 and 1, we have

max(<em>y</em>) = 15/2 - 1/2×(-1) = 15/2 + 1/2 = 8

and

min(<em>y</em>) = 15/2 - 1/2×1 = 15/2 - 1/2 = 7

Then the sum of the maximum and minimum is 8 + 7 = 15.

4 0
3 years ago
Solve 3 x - 9 x + 7 - 3 = -8.
erik [133]

Answer: x=2

3x−9x+7−3=−8

Step 1: Simplify both sides of the equation.

3x−9x+7−3=−8

3x+−9x+7+−3=−8

(3x+−9x)+(7+−3)=−8

−6x+4=−8

−6x+4=−8

−6x+4−4=−8−4

−6x=−12

−6x

−6

=

−12

−6

x=2


3 0
3 years ago
Pls help!!<br><br> Solve and graph the inequalities
KatRina [158]

Answer:

x≤−15

Step-by-step explanation:

4 0
2 years ago
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