Answer:
x = 6
Step-by-step explanation:
Given
6x² - 2x + 36 = 5x² + 10x ( subtract 5x² + 10x from both sides )
x² - 12x + 36 = 0 ← in standard form
This is a perfect square of the form
(x - a)² = x² - 2ax + a²
36 = 6² ⇒ a = 6 and 2ax = (2 × 6)x = 12x, hence
(x - 6)² = 0
x - 6 = 0 ⇒ x = 6
Answer:
x>9
Step-by-step explanation:
Answer:
Area=36.66 cm^2
Step-by-step explanation:
First, you need the height.
Use the Pythagorean theorem:
hypotenuse^2=height^2+(1/2 base)^2
It's one-half base because it's an equilateral triangle.
1/2 base =4.6
(9.2)^2-4.6^2=height^2
84.64-21.16=height^2
height^2=63.48
height=7.97
Area=(1/2)(base)(height)
Area=(1/2)(9.2)(7.97)=36.66 cm^2
Answer:
Step-by-step explanation:
3in/4 = 0.75in(Diameter) for each circle
r = 0.375
A = πr^2
A(for 1 circle) = 0.141π
A(for 1/4 circle) = 0.035π
A x 4 because we have 4 circles =
0.141π
0.141π(area of middle) + 0.141π(area of circle) =
0.282π or 0.886in^2
Answer: x=27
Step-by-step explanation:
3x-4(4)=65
3x-16=65
3x=65+16
3x=81
3x/3=81/3
X=27
