Assume you mean the transformation from x^2 to (x-10)^2 + 8
Then, you first shift x^2 10 units right, you will get (x-10)^2
And, shift (x-10)^2 8 units upward, you will get (x-10)^2 + 8
Answer:
Each interior angle of a pentagon equals 108 degrees.
Therefore Angle U = 108 degrees.
The angle of the square is 90 degrees.
Therefore, Angle x = 360 - 108 -90 degrees = 162 degrees!
Step-by-step explanation:
Answer:
FV= 1,000*(1.12^n)
Step-by-step explanation:
Giving the following information:
Initial investment= $1,000
Increase rate= 12% = 0.12
We need to formulate an exponential equation to show the value in n years.
<u>To calculate the Future Value, we need to use the following formula:</u>
FV= PV*(1+i)^n
Being:
FV= Future Value
PV= Initial Investment
i= increase rate
n= number of periods
FV= 1,000*(1.12^n)
<u>For example, for one year:</u>
FV= 1,000*(1.12^1)
FV= $1,120
For 3 years:
FV= 1,000*(1.12^3)
FV= $1,404.93
Answer:
70.7 ft
Step-by-step explanation:
The triangle formed by home plate, first base, and second base is an isosceles right triangle with hypotenuse 100 ft. Then the side length (base-line distance between bases) is (100 ft)/√2 ≈ 70.7 ft.
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For an isosceles right triangle with side lengths 1, the hypotenuse can be found from the Pythagorean theorem to be ...
hypotenuse = √(side² + side²) = √(1²+1²) = √2
Then the diamond distances satisfy the proportion ...
hypotenuse/side = 100 ft/(base distance) = √2/1
or ...
base distance = (100 ft)/√2 ≈ 70.71068 ft
