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ad-work [718]
3 years ago
11

Which is a simplified form of the expression -4(3r – 2) – 2(r + 1)?

Mathematics
1 answer:
Delicious77 [7]3 years ago
6 0

Answer:

2 (3 - 7 r)

Step-by-step explanation:

Simplify the following:

-4 (3 r - 2) - 2 (r + 1)

-4 (3 r - 2) = 8 - 12 r:

8 - 12 r - 2 (r + 1)

-2 (r + 1) = -2 r - 2:

-12 r + -2 r - 2 + 8

Grouping like terms, -2 r - 12 r - 2 + 8 = (8 - 2) + (-12 r - 2 r):

(8 - 2) + (-12 r - 2 r)

-12 r - 2 r = -14 r:

-14 r + (8 - 2)

8 - 2 = 6:

6 - 14 r

Factor 2 out of 6 - 14 r:

Answer: 2 (3 - 7 r)

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Need help with these math questions please.
Bas_tet [7]

Answer:

8 - 2π square units.

π/16 - 1/8 square units.

6π - 9√3 square units.

Step-by-step explanation:

The area of the square = 2√2 * 2√2

= 2*2*2

= 8.

The area of the circle = πr^2

= π * [ ( 2√2)/ 2) ]^2

=  π (√2)^2

=  2π.

Second Question:

The area of the circle = π(1/2)^2 = π/4.

Finding the area of the square:

1^2 = 2x^2

x^2 = 1/2

So the area of the square = 1/2

So the area of the red part = 1/4 ( π/4 - 1/2).

= π/16 - 1/8.

Third question

Area of the circle = 6^2 * π = 36π.

Now 60 degrees is 1/6 of 360 degrees so the are of the sector is 6π.

The area of the segment = 6π -  0.5 * 6^2 sin 60

= 6π - 18√3/2

= 6π - 9√3 square units.

6 0
2 years ago
If one angle of a set of vertical angles measures 63°, the sum of the vertical angles is °?
algol13

Answer

63rrdddd

Step-by-step explanation:

7 0
3 years ago
Find the diagonal of the rectangular solid with the given measures.
Vikki [24]

Answer:

<h2>7</h2><h2 />

Step-by-step explanation:

Diagonal = \sqrt{2^{2} +3^{2}+6^{2}  } =\sqrt{49} =7

6 0
3 years ago
7n - 4 = 31. what is the value of the n​
Gelneren [198K]

Answer:

n = 5

Step-by-step explanation:

- Move all terms not containing  n  to the right side of the equation.

7n = 31 + 4

7n = 35

- Divide each term by  7  and simplify.

n = 5

i hope this helps :)

4 0
3 years ago
Read 2 more answers
Find the slope of the line.
Nady [450]

Answer:

The answer is -2

Step-by-step explanation:

It goes down 2 and the line is to the left, meaning its negative :)

7 0
3 years ago
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