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.
Answer:
<u>multiply</u> the base and <u>add </u>the exponents
Answer: y= 2x-8
Step-by-step explanation:
2y-4x=-16
2y=-16+4x
y=-8+2x
y= 2x-8
It would be 3.25 cups
Since there is 2.5 cups for 10 servings then 0.25 per serving multiply that by 13 servings and you get 3.25.So it would be 3.25 cups for 13 servings
Answer:
She earned 1,076 dollars and 25 cents.
Step-by-step explanation:
x = 7.25 * 4,500 / 100
x = 7.25 * 45
x = 326.25
So commission earned is 326.25 $
We need to add this to her base salary for the week, so:
750 + 326.25 = 1, 076.25
Therefore she earned 1,076 dollars and 25 cents.
Hopes this helps ;p
