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.
hector is 7 and a half
because 7 plus 7 is 14 buy 7.50 plus 7.50 is 15
Answer:
4/5x+6/5
Step-by-step explanation:
not sure but i have my ways with equations lol
Answer:
For x=2, the expression 4(5x-8) will be 4 more than the expression 2(4-x)
Step-by-step explanation:
Given expressions are;
4(5x-8) and 2(4-x)
For 4 more than the second expression, we will add 4 with second expression.
4(5x-8) = 2(4-x) + 4
20x - 32 = 8 -2x +4
20x + 2x = 12 + 32
22x = 44
Dividing both sides by 22
Hence,
For x=2, the expression 4(5x-8) will be 4 more than the expression 2(4-x)
