Why is combing like terms useful

Mathematics

1 answer:

Sliva [168]4 years ago

5 0

Combining like terms is useful when you are trying to simplify an expression/equation.

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WHAT IS S=2PIR^2+2PIRH SOLVE FOR H

grigory [225]

$\\~\qquad\quad S\ =\ 2PIR^2+2PIRH\\\underline{-2PIR^2\qquad-2PIR^2\qquad\quad\ }\\\\ S-2PIR^2=2PIRH\\\\ 2PIRH\ =\ S-2PIR^2\\\underline{ :(2PIR)\qquad :(2PIR)}\\\\\\ H=\dfrac{S-2PIR^2}{2PIR}\\\\\\ H=\dfrac{S}{2PIR}-\dfrac{2PIR^2}{2PIR}\\\\\\ H=\dfrac{S}{2PIR}-R$

or:

$\\~\qquad\quad S\ =\ 2PIR^2+2PIRH\\\\~\qquad\quad S\ =\ 2PIR(R+H)\\\underline{:(2PIR)\qquad :(2PIR)}\\\\\\~\ \ \dfrac{S}{2PIR}\ =\ R+H\\\\\\ \dfrac{S}{2PIR}-R=H\\\\\\ H=\dfrac{S}{2PIR}-R$

4 0

4 years ago

I don't under stand what is wrong.

MAXImum [283]

Answer:

In the first step, there is an issue when distributing the -3 to the terms inside of the parentheses. When multiplying the -3 to the -5, you would get an answer of +15, not -15.

The full correct process is:

(4m + 9) - 3(2m - 5) = 4m + 9 - 6m + 15

= 4m - 6m + 9 + 15

= -2m + 24

4 0

2 years ago

Determine the unknown side of the similar triangle

Serggg [28]

Answer:

Step-by-step explanation:

we can see that the base's size is doubled, from that we can find that 6 will be doubled to twelve.

6 0

3 years ago

Read 2 more answers

Find the measure of an interior and an exterior angle of a regular 24-gon

Natalija [7]

Answer:

Exterior: 15 degrees Interior: 165 degrees

Step-by-step explanation:

All shape's exterior angles (total) equal 360 degrees. 360/24=15.

The formula for finding an interior angle is (n-2)*180/n. (24-2)*180/24=165

7 0

4 years ago

Is the inequality below sometimes, always, or never true?<br><br> -2(2x + 9) > -4x + 9

Viefleur [7K]

-2(2x + 9) > -4x + 9
-2(2x) - 2(9) > -4x + 9
-4x - 18 > -4x + 9
+ 4x + 4x
-18 > 9

It is never true.

4 0

4 years ago