MATHEMATICS HIGH SCHOOL

(a + 2b + 3c) − (4a + 6b − 5c) is equivalent to?
Can you please explain with some details?

Answers

Answer 1
Answer:

The solution of the given expression will be -3a - 4b + 8c.'

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is (a + 2b + 3c) − (4a + 6b − 5c). The expression will be solved as below,

E = (a + 2b + 3 c) - (4a + 6b - 5c)

E = a + 2b + 3c - 4a - 6b + 5c =

E = -3a - 4b + 8c

Therefore, the expression will have the solution (a + 2b + 3c) − (4a + 6b − 5c).

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Answer 2
Answer: (a + 2b + 3 c) - (4a + 6b - 5c) =

= a + 2b + 3c - 4a - 6b + 5c =

= -3a - 4b + 8c

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Identify the arc length of TV in terms of π. (image is attached)The answers for this question were:

≈0.67pi in., ≈1.83pi in., ≈3.67pi in., or ≈1.33pi in.

Answers

The arc length of TV is ≈ 3.67π in.

What is Arc length?

Arc length is the distance between two points along a section of a curve.

Given:

∠SMV = 48 and MT= 5 in

As, ∠SMV and ∠VMT are forms linear pair. So,  

∠VMT + ∠SMV = 180∘

∠VMT= 180 -  ∠SMV

∠VMT = 180∘ − 48∘

∠VMT =132∘      

Now, length of arc will be,

= \theta/360 2πr

=132/360*2*π*5

=132/360*10π

=33/9π

≈ 3.67π in.

Hence, the arc length of TV is ≈ 3.67π in.

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Answer:       ≈ 3.67π in.

Step-by-step explanation:

∠SMV and ∠VMT are supplementary. Therefore,  

m∠VMT = 180∘ − m∠SMV

It is given that m∠SMV = 48∘. Substitute the given value and simplify.

m∠VMT = 180∘ − 48∘

=132∘                                                                                                                  Arc length is the distance along an arc measured in linear units. The formula for Arc Length is L=  2πr (m∘/360∘).

The length of the radius is given as 5 in. Substitute the known values into the formula.

L= 2π (5) (132/360)

Simplify.

L= 33/9π

Round to the nearest tenth.  

L ≈ 3.67π in.

Therefore, the arc length of TV is ≈ 3.67π in.

Work out: 27^-(1/3).

Answers

Click on the pic for answer:

Claire has $300 in her account she decided she is going to take out half of what is left in there at the end of each month

Answers

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Answers

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Answers

TRUE! because they are 90 degrees

Answer:

a. true

Step-by-step explanation:
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