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4 years ago

Find the product: (2x –2)(x –1)a.2x2 + 4x -2b.2x2 + 4x + 2c.2x2 -4x + 2d.2x2+ 2

Mathematics

1 answer:

lesya [120]4 years ago

3 0

FOIL:

First:

2x^2

Outside:

-2x

Inside:

-2x

Last:

Put it together:

2x^2 -2x -2x +2

combine like terms:

2x^2 - 4x +2

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9. < Q ; < S and QR = SR . select the correct statement for the two triangles . What rule proves the congruence ? ( 1point

motikmotik

The theorem proving the triangles' congruence is Angle-side-angle (ASA) and the angle corresponding to Q is S; therefore, the answer is B.
QPR = STR; ASA

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4 years ago

gene sold 10 glasses of lemonade while setting up his lemonade stand. after opening, he sold an average of20 glasses each hour.

Dovator [93]

Well we know that he sold 20 glasses every hour. if h is the number of hours he worked we know the expression would be 20h
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4 years ago

If you can solve all parts I will give brainliest (also give strategy)

Alexxx [7]

The Halloween conical hat, with given height, circular base and brim

extension has the following calculated parameters;

Part a. The slant height is 18.2 inches

Part b. The volume of the cone is $37\frac{1}{2} \cdot \pi$ in.³

Part c. The area of the brim, A = 36·π in.²

Part d. The area of the brim is found by subtracting the area of the base of the cone from the area covered by the perimeter of the brim

Reasons:

Known parameters;

Height of the conical portion, h = 18 inches

Base circumference, C = 5·π inches

Part a. Slant height of the conical portion; Required

Solution:

The circumference of a circle, C = 2·π·r

Therefore;

$r = \dfrac{C}{2 \cdot \pi}$

Which gives;

$r = \dfrac{5 \cdot \pi}{2 \cdot \pi} = \dfrac{5}{2} = 2.5$

Radius, r = 2.5 inches

According to Pythagoras's theorem, we have; s² = r² + h²

Where;

s = The slant height of the cone

s² = 2.5² + 18² = 330.25

s = √(330.25) ≈ 18.2

The slant height, s ≈ 18.2 inches

Part b. The measure in cubic inches of candy that exactly fills the conical portion of the hat is the volume of the cone.

$Volume \ of \ a \ cone = \dfrac{1}{3} \cdot \pi \cdot r^2 \cdot h$

Therefore;

$V = \dfrac{1}{3} \times \pi \times 2.5^2 \times 18 = 37\frac{1}{2} \cdot \pi$

The volume of the cone, V = $37\frac{1}{2}$ ·π in.³

Part c. The extension of the brim from the base of the cone = 4 inches

The radius of the brim, R = Radius of the base of the cone + 4 inches

∴ R = 2.5 inches + 4 inches = 6.5 inches

Area of the brim, A = Area of the 6.5 inch circle - Area of the circular base of the cone

∴ A = π × 6.5² - π × 2.5² = 36·π

The area of the brim, A = 36·π in.²

Part d. The procedure for solving the question in part c, is described as follows;

The area of the brim can be found by finding the entire area of the circle formed by the perimeter of the brim, then subtracting the area of the base of the cone from that area.

Learn more here:

brainly.com/question/17023854

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3 years ago

Excel - How to graph different APRs using one formula for an excel beginner? Image Attached

Levart [38]

Answer:

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4 years ago

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VikaD [51]

Answer:

y= -x/6-9

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Step-by-step explanation:

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