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Shtirlitz [24]
3 years ago
11

Simplify each expression

Mathematics
1 answer:
Citrus2011 [14]3 years ago
5 0

Answer:

5x^4 + 15x^3 - 4x^2 + 7

Step-by-step explanation:

(7x^3 + 5x^4 + 3x^2) - (7x^2 - 7 -8x^3)

what we need to do is distribute the - sign in the middle of the parentheses into (7x^2 - 7 -8x^3)[/tex], this is very important to ensure we have the correct answer. by distributing we get the following equation:

7x^3 + 5x^4 + 3x^2 - 7x^2 + 7 + 8x^3

now we combine like terms to get our answer

5x^4 stays as it is, since there is nothing to combine it with

7x³ + 8x³ = 15x³

3x² - 7x² = -4x²

7 stays the same because like 5x^4, there is nothing else to combine it with

we have the following new equation:

5x^4 + 15x^3 - 4x^2 + 7

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Find the circumference of the circle with radius 28 cm.<br><br>​
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The circumference of the circle that has a radius of 28 cm is: 175.9 cm..

<h3>What is the Circumference of a Circle?</h3>

Circumference of a circle = 2 × π × r, where r = radius of the circle.

Given that a circle has:

radius (r) = 28 cm

Therefore:

Circumference of the circle = 2 × π × r

Plug in the value of r

Circumference = 2 × π × 28

= 175.9 cm.

Learn more about circumference of circle on:

brainly.com/question/20489969

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Can someone help me find out this question :) ? thanks &lt;3 for 8th grade algebra
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Answer:

4,500,000 population in 1950

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The large triangle is an isosceles since both angles at the base each equal 42°.
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3 years ago
The hypotenuse of the right triangle is 5y inches long. The lengths of the legs are x + 8 and x + 3 inches. If the perimeter of
Zolol [24]

Answer: 35 inches.

Step-by-step explanation:

We know that:

hypotenuse = 5*y in

cathetus 1 = (x + 8) in

cathetus 2 = (x + 3) in

The perimeter of the triangle is 76 inches, then:

5*y + (x + 8) + (x + 3) = 76

5*y + 2*x + 13 = 76

We also know that the length of the hypotenuse minus the length of the shorter leg is 17 in.

The shorter leg is x + 3, then:

5*y - (x + 3) = 17

Then we have the equations:

5*y + 2*x + 11 = 76

5*y - (x + 3) = 17

With only these two we can solve the system, first we need to isolate one of the variables in one of the equations, i will isolate x in the second equation.

x = 5*y  - 3 - 17 = 5*y - 20

x = 5*y - 20

Now we can replace this in the other equation, we get:

5*y + 2*x + 11 = 76

5*y + 2*(5*y - 20) + 11 = 76

15*y - 40 + 13 = 76

15*y - 29 = 76

15*y = 76 + 29 = 105

and remember that the hypotenuse is equal to 5*y, then we want to get:

3*(5*y) = 105

5*y = 105/3 = 35

5*y = 35

Then te length of the hypotenuse is 35 inches.

6 0
3 years ago
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