Answer:
(2x - 1)(2x + 1)(x - 7)
Step-by-step explanation:
We use grouping to factor.
Step 1: Group 1st 2 terms together and factor
4x³ - 28x²
4x²(x - 7)
Step 2: Group last 2 terms together and factor
-x + 7
-1(x - 7)
Step 3: Combine
(4x² - 1)(x - 7)
Step 4: Factor out quadratic
(2x - 1)(2x + 1)(x - 7)
Answer:
Step-by-step explanation:
We know that A and B are complementary angles. So, they must add up to 90°. As an equation:
Since we know their equations, substitute:
Solve for x. Combine like terms on the left:
Subtract 9 from both sides:
Divide both sides by 9:
So, the value of x is 9.
We want to find A. So, let's use the equation for A:
Substitute 9 for x:
Add:
So, the measure of A is 17°.
Answer:
Therefore the cone is the greatest relative increase in volume.
Step-by-step explanation:
Cone:
Original cone = (1/3)π(h)r^2
Changed cone = (1/3)π(h/2)(3r)^2
= (1/2)(1/3)π(h)9r^2
= (9/2) * Original cone
=4.5 * Original cone
Cylinder:
Original cylinder = π(h)r^2
Changed cylinder = π(2h)r^2
=2 * Original cylinder
Therefore the cone is the greatest relative increase in volume.
Answer:
Select the plain line in the Insert Shapes group. Place your cursor where you want a tick mark on your line, hold the "Shift" key, and drag to create a vertical mark. Holding the Shift key ensures a straight line.
Step-by-step explanation:
