<h3>
Answer: 36</h3>
=========================================================
Explanation:
f(x) = -x+9
f(0) = -0+9 .... replace x with 0
f(0) = 9
We will replace f(0) with 9 in the g(x) function. In other words, we plug in x = 9 into the g(x) function
This is because g( f(0) ) = g( 9 )
g(x) = x^2 - 6x + 9
g(9) = 9^2 - 6*9 + 9 ... replace x with 9
g(9) = 81 - 54 + 9
g(9) = 36
Therefore, g(f(0)) = g(9) = 36 or simply g(f(0)) = 36
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Another method is to compute g(f(x)) algebraically first
g(x) = x^2 - 6x + 9
g(f(x)) = ( f(x) )^2 - 6*( f(x) ) + 9 .... replace every x with f(x)
g(f(x)) = ( -x+9 )^2 - 6*( -x+9 ) + 9 .... replace f(x) with -x+9
g(f(x)) = x^2 - 18x + 81 + 6x - 54 + 9
g(f(x)) = x^2 - 12x + 36
then we plug in x = 0
g(f(x)) = x^2 - 12x + 36
g(f(0)) = 0^2 - 12*0 + 36 ... replace x with 0
g(f(0)) = 36
Answer:
Surface area of rectangular prism = 250 cm²
Step-by-step explanation:
The rectangular prism is Prism B
Surface area of rectangular prism = 2lw + 2hw + 2lh
Where,
h = 10 cm
w = 5 cm
l = 5 cm
Plug in the values
Surface area of the rectangular prism = 2(5)(5) + 2(10)(5) + 2(5)(10)
= 50 + 100 + 100
= 250 cm²
The statement, The hypotenuse is NOT located across from the right angle is false.
<h3>What is a right angled triangle? </h3>
A right-angled triangle is a type of triangle that has an angle that measures 90 degrees. The triangle has three sides. The hypotenuse is the longest side of a right-angled triangle. Other sides are the base and the length. The sum of sides in a a right-angled triangle is 180 degrees.
Please find attached an image of a right-angled triangle. To learn more about a triangle, please check: brainly.com/question/9329354
Answer: Slope=−
2.000
1.600
=−0.800
x−intercept=
4
12
=3
y−intercept=
5
12
=2.40000
Step-by-step explanation:
The answer is B. Draw conclusions
