Answer:
Step-by-step explanation:
Let the height = h
Let the base = 4h + 7
Area of a triangle = 1/2 * b * h
Area = 93 square inches
1/2 * (4h + 7)* h = 93 Multiply both sides by 2
(4h + 7) * h = 93*2
(4h + 7)*h = 186 Remove the brackets
4h^2 + 7h = 186 Subtract 186 from both sides.
4h^2 + 7h - 186 = 0
Use the quadratic formula to solve
a = 4
b = 7
c = - 186
x1 = (-7 + sqrt(7^2 - 4*4*(-186) ) /2*4
x1 = (-7 + sqrt(49 - 16*(-186)) / 8
x1 = (-7 + sqrt(49 + 2976)) / 8
x1 = (-7 + sqrt(3025)) / 8
x1 = (-7 +55 ) / 8
x1 = (48)/8
x1 = 6
There is another root, but it has to be minus and therefore cannot be used as a length. x2 = - 7.75
h = 6
b = 4*6 + 7 = 31
Check
Area = 1/2 * b * h
Area = 1/2 * 31 * 6
Area = 1/2 *186
Area = 93 which is what we were given so the answer is correct.
They are all correct except in 5), 4+8 is 12, not 13.
Answer:
4
Step-by-step explanation:
-3+4+2+1=4
Answer:
For the length I think you meant 32, and if you did it is $14.40
If not and you meant length of 2 it is $0.90
Step-by-step explanation:
The sum of the expression (–x² + x) and (x² – 3x – 1) will be –2x – 1. Then the correct option is D.
<h3>What is Algebra?</h3>
The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The expression can be written as
(–x² + x) and (x² – 3x – 1)
Then the sum of the expression (–x² + x) and (x² – 3x – 1) will be
(–x² + x) + (x² – 3x – 1) = –2x – 1
Then the correct option is D.
More about the Algebra link is given below.
brainly.com/question/953809
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