<h3>Given</h3>
trapezoid PSTK with ∠P=90°, KS = 13, KP = 12, ST = 8
<h3>Find</h3>
the area of PSTK
<h3>Solution</h3>
It helps to draw a diagram.
∆ KPS is a right triangle with hypotenuse 13 and leg 12. Then the other leg (PS) is given by the Pythagorean theorem as
... KS² = PS² + KP²
... 13² = PS² + 12²
... PS = √(169 -144) = 5
This is the height of the trapezoid, which has bases 12 and 8. Then the area of the trapezoid is
... A = (1/2)(b1 +b2)h
... A = (1/2)(12 +8)·5
... A = 50
The area of trapezoid PSTK is 50 square units.
Comparing g(x) with f(x), you can see that the function f(x) is translated to the right by 6 units to produce g(x) which is equivalent to (x-6)²
<h3>Transformation of function</h3>
Transformation is a techniques use to change the position of an object on an xy-plane.
Given the parent function f(x) = x² and the function g(x) = x²-12x +36
Factorize g(x);
g(x) = x²-6x-6x+36
g(x)=x(x-6)-6(x-6)
Group the terms to have;
g(x) = (x-6)²
Comparing g(x) with f(x), you can see that the function f(x) is translated to the right by 6 units to produce g(x) which is equivalent to (x-6)²
Learn more on transformation here: brainly.com/question/4289712
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Answer:
hosta=11 ivy=9
Step-by-step explanation:
Logically thinking... $20 for 1 h and 1 i
So I would say $11 H and $9 I
Answer:
The exterior angle is 35° + 62° = 97°
And 97° > 35°
And 97° > 62°
Step-by-step explanation:
The true statement about the distribution of any variable model around the mean is (D) The distribution of the variable is the same shape as the distribution of its residual
<h3>The true statement about the
distribution</h3>
From the question, we understand that the distribution of the model is based on its mean or average value.
The above means that the upper and the lower deviations are balanced.
Hence, the true statement about the distribution of any variable model around the mean is (D)
Read more about distribution at:
brainly.com/question/15713806
