The answer is: [C]: " ∡<em>C</em> ≅ ∡<em>X</em> ; ∡<em>D</em> ≅ ∡<em>Y</em> ; ∡<em>A</em> ≅ ∡<em>Z</em> " .
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Answer:
Step-by-step explanation:
Given an inequality that relates the height h, in centimeters, of an adult female and the length f, in centimeters, of her femur by the equation
If an adult female measures her femur as 32.25 centimeters, we can determine the possible range of her height by plugging f = 32.25cm into the modelled equation as shown:
If the modulus function is positive then:
If the modulus function is negative then:
multiply through by -1
combining the resulting inequalities, the estimate of the possible range of heights will be
80. there's no mathematical equations, also there's nothing to compare
Answer:
3
Step-by-step explanation:
The value of "a" is the coefficient of x^2, so we know that is 2.
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<u>Solve for h</u>
Now, we have ...
2x^2 -8x +7 = 2(x -h)^2 +k
Expanding the right side gives us ...
= 2(x^2 -2hx +h^2) +k
= 2x^2 -4hx +2h^2 +k
Comparing x-terms, we see ...
-4hx = -8x
h = (-8x)/(-4x) = 2
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<u>Solve for k</u>
Now, we're left with ...
2h^2 +k = 7 = 2(2^2) +k = 8 +k
Subtracting 8 we find k to be ...
k = 7 -8 = -1
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And the sum of constants a, h, and k is ...
a +h +k = 2 +2 -1 = 3
The sum of the constants is 3.
This is an increase and it increased by 40% because the difference between 140 and 100 is 40 which is 40% of 100.
