Set up a system of equations.
l=4w
2l+2w=110
Substitute l in to the second equation.
2(4w)+2w=110
8w+2w=110
10w=110
w=11
Substitute w back into the first equation.
l=4(11)=44
So, the length is 44 feet and the width is 11 feet.
Hope this helped!
4(x+8)
because 4 is the greatest common factor of 4 and 32. you distribute the 4 into the parenthesis and get 4x+32
Answer:
198 m³
Step-by-step explanation:
Find the area of the triangular prism.
3 × 4 × 1/2 × 9
= 54
Find the area of the rectangular prism.
4 × 4 × 9
= 144
Add their areas.
144 + 54 = 198
The area of the composite shape is 198 m³.
The vertex form of the equation f(x) = x^2 - 3x, is f(x) = (x - 3/2)^2 - 9/5
<h3>How to rewrite the
quadratic function?</h3>
The quadratic function is given as:
f(x) = x^2 - 3x
Differentiate the function
f'(x) = 2x - 3
Set the function to 0
2x - 3 = 0
Add 3 to both sides
2x = 3
Divide by 2
x = 3/2
Set x = 3/2 in f(x) = x^2 - 3x
f(x) = 3/2^2 - 3 * 3/2
Evaluate
f(x) = -9/5
So, we have:
(x, f(x)) = (3/2, -9/5)
The above represents the vertex of the quadratic function.
This is properly written as:
(h, k) = (3/2, -9/5)
The vertex form of a quadratic function is
f(x) = a(x - h)^2 + k
So, we have:
f(x) = a(x - 3/2)^2 - 9/5
In f(x) = x^2 - 3x,
a = 1
So, we have:
f(x) = (x - 3/2)^2 - 9/5
Hence, the vertex form of the equation f(x) = x^2 - 3x, is f(x) = (x - 3/2)^2 - 9/5
Read more about vertex form at
brainly.com/question/24850937
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