Answer:
37 sq. ft.
Step-by-step explanation:
Multiply 1.5 by 2 and add it to 4 to get the bottom of the triangle part, which is 7. The. Multiply it by 6 and divide by 2 to get the area of the triangle, which is 21. Then find the area of the square part, which is 16, and finally add both areas together to get the total area of the composite figure
Answer:
1. is 5
2. is -4
3. is -24
Step-by-step explanation:
i dont understand why you didnt just use a calculator but here.
Perpendicular slope: 3
y + 7 = 3(x + 3)
y + 7 = 3x + 9
y = 3x + 2
Answer:
Step-by-step explanation:
8^2 + 15^2 = ?
64 + 225 = 17^2
289 = 289

Longer leg = x + 4
Shorter leg = x
Hypotenuse = x + 8
Using Pythagorean Theorem:
a^2 + b^2 = c^2
(x + 4)^2 + x^2 = (x + 8)^2
x^2 + 8x + 16 + x^2 = x^2 + 16x + 64
2x^2 + 8x + 16 = x^2 + 16x + 64
2x^2 +8x = x^2 + 16x + 48
2x^2 - 8x = x^2 + 48
x^2 - 8x = 48
x^2 - 8x - 48 = 0
You can complete the square from here or use the quadratic formula.
Completing the square:
x^2 - 8x = 48
x^2 - 8x + (-8/2)^2 = 48 + (-8/2)^2
x^2 - 8x + 16 = 48 + 16
(x - 4)(x - 4) = 64 or (x - 4)^2 = 64
x - 4 = +√64 OR x - 4 = -√64
x - 4 = +8 OR x - 4 = -8
x = 12 OR x = -4
However, you can't use negative 4 as a length because your length needs to be a positive.
So x will be 12.
Shorter leg: 12
Longer leg: 12 + 4
Hypotenuse: 12 + 8