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2 years ago

What is the volume of the following rectangular prism?

Mathematics

1 answer:

gregori [183]2 years ago

8 0

Did you try to watch the video for a hint? Volume is a very hard thing to learn and hints are always good

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<img src="https://tex.z-dn.net/?f=%28a%29%20%7B%20-%20%28b%29%7D%5E%7B2%7D%20" id="TexFormula1" title="(a) { - (b)}^{2} " alt="(

Cloud [144]

Answer:

a - b2

Step-by-step explanation:

STEP 1 :

Trying to factor as a Difference of Squares:

1.1 Factoring: a-b2

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : a1 is not a square !!

Ruling : Binomial can not be factored as the difference of two perfect squares

Final result :

a - b2

<u><em>HOPE THIS HELPS!</em></u>

<u><em>PLEASE MARK BRAINLIEST! :)</em></u>

7 0

2 years ago

55 is 20% of what numeber

kolbaska11 [484]

The answer is 275. hope it helps :)

4 0

2 years ago

How do you factor this?

lubasha [3.4K]

Answer:

Step-by-step explanation:

What two numbers multiply to equal -48, but add to equal -2? The method is multiplying a*c and seeing if they add up to b. Those two numbers are -8 and +6.

$6x^2-2x-8=6x^2-8x+6x-8$

Now, factor by grouping

$(6x^2-8x)+(6x-8)=2x(3x-4)+2(3x-4)\\(2x+2)(3x-4)$

3 0

2 years ago

15x-7=2+12x I need help with this

Amanda [17]

Answer:

$\huge{ \boxed{ \bold{ \tt{x = 3}}}}$

<h3>♁ Question : Solve for x</h3>

15x - 7 = 2 + 12x

<h3>♁ Step - by - step explanation</h3>

$\text{15x - 7 = 2 + 12x}$

Move 12x to L.H.S ( Left Hand Side ) and change it's sign

➛ $\sf{15x - 12x - 7 = 2}$

Move 7 to R.H.S ( Right Hand Side) and change it's sign

➛ $\sf{15x - 12x = 2 + 7}$

Subtract 12x from 15x

Remember that only coefficients of like terms can be added or subtracted.

➛ $\sf{3x = 2 + 7}$

Add the numbers : 2 and 7

➛ $\sf{3x = 9}$

Divide both sides by 3

➛ $\sf{ \frac{3x}{3} = \frac{9}{3}}$

➛ $\boxed{ \bold{ \sf{x = 3}}}$

The value of x is $\boxed{ \sf{3}}$

✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄

☄ Now, let's check whether the value of x is 3 or not!

<h3>☥ Verification :</h3>

$\sf{15x - 7 = 2 + 12x}$

$\dashrightarrow{ \sf{15 \times 3 - 7 = 2 + 12 \times 3}}$

$\dashrightarrow{ \sf{45 - 7 = 2 + 36}}$

$\dashrightarrow{ \sf{38 = 38}}$

L.H.S = R.H.S ( Hence , the value of x is 3 ).

✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄

<h3>✒ Rules for solving an equation :</h3>

If an equation contains fractions ,multiply each term by the L.C.M of denominators.
Remove the brackets , if any.
Collect the terms with the variable to the left hand side and constant terms to the right hand side by changing their sign ' + ' into ' - ' and ' - ' into ' + ' .
Simplify and get the single term on each side.
Divide each side by the coefficient of variable and then get the value of variable.

Hope I helped!

Have a wonderful time ! ツ

~TheAnimeGirl

5 0

2 years ago

PLEAS EHEKP ILL GIVE BRAINLIEST<br> SHOW WORK SO I CAN UNDERSTAND PLEASE

Mandarinka [93]

Answer:

$49.72

Step-by-step explanation:

The tip is 11% of the price of the pizza.

The price of the pizza is $452.

The tip is 11% of $452.

<em>To find a percent of a number, change the percent to a decimal and multiply by the number. To change a percent to a decimal, divide the percent by 100 which is the same as moving the decimal point two places to the left.</em>

11% of $452 =

= 0.11 * $452

= $49.72

Answer: $49.72

8 0

3 years ago