Answer:
45
Step-by-step explanation:
3x+x has to add up to 180
3x+x=180
4x/4=180/4
x=45
The property used in the equation is called Distributive property.
<h3>What is
Distributive property?</h3>
The distributive Property States that when a factor is multiplied by the sum/addition of two terms, it is essential to multiply each of the two numbers by the factor, and finally perform the addition operation.
Given an equation, 4 x (5 + 6) = (4 x 5) + (4 x 6)
The property used in this equation is distributive property.
a(b+c) = (a*b)+(a*c)
Hence, The property used in the equation is called Distributive property.
For more references on Distributive property, click;
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Answer:
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Answer: a) H = h( 0.5 )^n
b) H = 1.125inches
Step-by-step explanation:
Let H = height of the ball
n = number of time the ball bounces
h = initial height.
The exponential function to model the height of the ball will be:
H = h( 1 - 0.5)^n
H = h( 0.5 )^n
It's minus because the height of the ball is decreasing.
h = 36 inches
n = 5
H = 36( 1 - 0.5 ) ^5
H = 36( 0.5 )^5
H = 36 × 0.03125
H = 1.125inches
From the Special Triangle Theorem, the hypotenuse is equal to the side lengtht times the Sqrt(2).
So hypotenuse H = xSqrt(2), x=H/Sqrt(2).
Using numbers, if H = 7, then x = 7/Sqrt(2) = 7Sqrt(2)/2 to rationalize it.
