Simplify The following equations(This is algebra, so PLEASE, only answer if you KNOW FOR SURE, thank you)

3b+11c-4b-c

9a-1+8c-8a+c

12c+5a+7+(-13c)+4a

-15-6c+3b-6c+9-2b

Answers

Answer 1

Answer: mostly collect like terms
use associative property which is
(a+b)+c=a+(b+c)
and remember that:
you just use a general rule
x+x=2x
x^2+x^2=2x^2
3xy4xy=7xy
3x+4x^2=3x+4x^2
you can only add like terms( like terms are terms that are same name like x or y are differnt, and like terms have same power exg x^2 and x^3 and x^1/2 and such

so first one

3b+11c-4c-c
since they are all c except for the first one term, just assign a number for each so it simplifies to c times(11-1)+b(3-4)=c(10-1b=10c-b or

you just use a general rule
x+x=2x
x^2+x^2=2x^2
3xy4xy=7xy
3x+4x^2=3x+4x^2

second one9a-1+8c-8a+c
group like terms
(9a-8a)+(8c+c)-1=(a)+(9c)-1=a+9c-1

12c+5a+7-13c+4a
group like terms(12c-13c)+(5a+4a)+7
add like terms
-c+9a+7
the solution is 9a-c+7

-15-6c+3b-6c+9-2b
group like terms
(-15+9)+(-6c-6c)+(3b-2b)
-6+(-12c)+b=b-6-12c

the answers are:

10c-b

a+9c-1

9a-c+7

b-12c-6

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A circular pool has a diameter of 20 feet. You want to purchase a cover for the pool. What area needs to be covered?

Answers

A=2 $\pi$ r $r^(2)$
r=D/2 = 20feet/2 = 10 feet

Therefore,
A=2 $\pi$ $(10)^(2)$
A=200 $\pi$

Prime factorization of 24 and 28 to find their least common multiple

Answers

the least common multiple is 168 for both of them

Runways A and B are parallel to each other and perpendicular to Runway C. If Runway D makes a 35 degree angle with Runway Aaa show in the diagram, what is the measure of the angle marked in the diagram between Runways C and D?

Answers

Answer:

55°

Step-by-step explanation:

Draw the diagram according to the given data (see attached diagram).

In this diagram,

line AC is runway A;
line BD is runway B;
line AB is runway C.

Note that ∠GCH=35°

Angles GCH and CDI are corresponding angles. By corresponding angles postulate, angles GCH and CDI are congruent.

Angles CDI and BDE are vertical angles, so angles CDI and BDE are congruent as vertical angles.

Consider right triangle BDE. The sum of two acute angles of the right triangle is 90°, so

m∠BED=90°-m∠BDE

m∠BED=90°-35°=55°

What is 8 3/4 divided by 2 1/6 ?

Express the answer in simplest form.

Answers

I would convert them to improper fractions and then multiply. The improper fractions would be 35/4*13/6, and then you multiply across, 455/24, and that doesn't reduce, but you can convert it back to a mixed number, which is 18 23/24.

A circle is centered at (-8, -13) and has a radius of 13. What's the equation of the circle? Enter the equation in the box using lower case variables and y