Answer:
see explanation
Step-by-step explanation:
Given
3
- 2x² + 15x² - 10
Factor the first/second and third/fourth terms )
= x²(3x² - 2) + 5(3x² - 2) ← factor out (3x² - 2) from each term
= (3x² - 2)(x² + 5)
The perimeter of a semicircle consists of two parts. (the curve and bottom)
That curve is half the distance around the circle, since it's been split in half.
The distance around a circle, the circumfrence, is equal to 2πr, where r is the radius of that circle. In this case, the circumfrence of the entire circle would be 16π. and so that curve would have a length of just 8π.
Using 3.14 for π, 8π = 8×3.14 = 25.12.
As for the flat part, that is the diameter (distance across) our circle.
The radius is the distance from the center of a circle to its edge, and always has half the length of the diameter. (you can break the diameter down into two radii)
If our radius is 8 meters, our diameter (the flat part of that semicircle) must be 16.
Now we add up the two parts of the perimeter...25.12 + 16 = 41.12.
Answer:
A. Cube A
Given:
Cube A volume = 5832 in³
For Cube B dimension in inches:
So Volume of Cube B:
L × B × H = 14.4 × 12 × 12 = 2073.6 in³
Cube A has a larger volume that Cube B.
Answer:
y = 
x - 12
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 
x ← is in slope- intercept form
with slope m = - , c = 0
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - 
= , then
y = x + c ← is the partial equation
To find c substitute (3, - 8) into the partial equation
- 8 = 4 + c ⇒ c = - 8 - 4 = - 12
y = x - 12 ← equation of perpendicular line
