A constant because it a number
To solve the absolute value equation you first need to get everything not in the absolute value bars to the other side of the equation.
Step 1) Divide by 4
|n+8| = 14
*Remember: when solving absolute value equations, you make what the expression (n+8) is equal to negative and positive. Not the other way around.
Step 2) Make two equations
n+8 = 14
n+8 = -14
Solve and you'll see that n= 6 and -22
Answer:
-90
Step-by-step explanation:
10+5×5×(-2)
10+25×(-2)
10+(-100)
10-100
-90
Based on the calculations, the scale factor for this dilation is equal to 1/3.
<h3>How to determine the scale factor for this dilation?</h3>
First of all, we would use the distance formula to find the length of side QR and Q'R' as follows:
Distance = √[(x₂ - x₁)² - (y₂ - y₁)²]
Substituting the given points into the formula, we have;
Distance QR = √[(5 - (-1))² + (0 - 0)²]
Distance QR = √[(5 + 1)² + (0)²]
Distance QR = √[6² + 0]
Distance QR = √36
Distance QR = 6 units.
For side Q'R', we have:
Distance Q'R' = √[(1 - (-1))² + (2 - 2)²]
Distance Q'R' = √[(1 + 1)² + (0)²]
Distance Q'R' = √[2² + 0]
Distance Q'R' = √4
Distance Q'R' = 2 units.
Now, the scale factor for this dilation is given by:
Scale factor = Q'R'/QR
Scale factor = 2/6
Scale factor = 1/3.
Read more on scale factor here: brainly.com/question/17079307
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Answer:
The circumference is around 785 feet
Step-by-step explanation:
The circumference of a circle is pi x radius x 2 or pi x diameter.
If the Ferris wheel's radius is 125, then this is what you do:
pi x 125 x 2
= pi x 250
= 3.14 x 250
= 785