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4 years ago

Determine he simplest form of the expression -3(-4a+3)+7a

Mathematics

2 answers:

Sedbober [7]4 years ago

5 0

-3(-4a+3)+7a
12a-9+7a
group like thems
12a+7a-9
= 17a-9

kodGreya [7K]4 years ago

3 0

The first thing you would do is distribute -3 to the numbers inside the parenthesis.

So -3 times -4a is 12a (negative times a negative is positive).
Then -3 times 3 is -9.
Add the two numbers and you get 12a-9. Don't forget the 7a. We have to add that too.

So we would get: 12a - 9 + 7a.
Now we combine like terms (12a and 7a which equals 19a.)

And our Final Answer is 19a - 9.

Feel free to reply if you have any further questions! :)

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Answer:

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2 years ago

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3 years ago

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7 - 2x - x4

Vlad1618 [11]

Answer:

b) three terms

c) -1

d) 7

e) 4

Step-by-step explanation:

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7 0

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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