What is the formula to calculate the area of a square/rectangle

(Distribute , then simplify the remaining expression. Final answer must be in standard form) Please help !!

Sergeu [11.5K]

Problem 22
$4x^2(2x^2+x-5) - x(x^3+5x^2-3) + 17$
$4x^2(2x^2)+4x^2(x)+4x^2(-5) - x(x^3)-x(5x^2)-x(-3) + 17$
$8x^4+4x^3-20x^2 - x^4-5x^3+3x + 17$
$7x^4-x^3-20x^2+3x + 17$

So the final simplified answer to problem 22 is
$7x^4-x^3-20x^2+3x + 17$

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Problem 23
$-2x(x^3-6x^2+6)+4x^3-(5x^4+10x)$
$-2x(x^3)-2x(-6x^2)-2x(6)+4x^3-(5x^4)-(10x)$
$-2x^4+12x^3-12x+4x^3-5x^4-10x$
$-7x^4+16x^3-22x$

So problem 23 simplifies to
$-7x^4+16x^3-22x$

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Problem 24
$4b[2a^2-5(3ab-2b^2)]+29ab^2$
$4b[2a^2-5(3ab)-5(-2b^2)]+29ab^2$
$4b[2a^2-15ab+10b^2]+29ab^2$
$4b[2a^2]+4b[-15ab]+4b[10b^2]+29ab^2$
$8a^2b-60ab^2+40b^3+29ab^2$
$8a^2b-31ab^2+40b^3$

So problem 24 simplifies to
$8a^2b-31ab^2+40b^3$

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Problem 25
$2y(6x-4x^2y)+13x^2y^2-6$
$2y(6x)+2y(-4x^2y)+13x^2y^2-6$
$12xy-8x^2y^2+13x^2y^2-6$
$12xy+5x^2y^2-6$

The final answer for problem 25 is
$12xy+5x^2y^2-6$

8 0

3 years ago

Two triangles have bases with lengths 5in and 8in.

Elis [28]

Answer:

i. The ratio of the areas of the two triangles is 5:8.

ii. The area of the larger triangle is 24 in².

Step-by-step explanation:

Let the area of the smaller triangle be represented by $A_{1}$ , and that of the larger triangle by $A_{2}$ .

Area of a triangle = $\frac{1}{2}$ x b x h

Where; b is its base and h the height.

Thus,

a. The ratio of the area of the two triangles is:

$\frac{area of the smaller triangle}{area of the larger triangle}$

Area of smaller triangle = $\frac{1}{2}$ x b x h

= $\frac{1}{2}$ x 5 x h

= $\frac{5}{2}$ h

Area of the lager triangle = $\frac{1}{2}$ x b x h

= $\frac{1}{2}$ x 8 x h

= 4h

So that;

Ratio = $\frac{\frac{5}{2}h }{4h}$

= $\frac{5}{8}$

The ratio of the areas of the two triangles is 5:8.

b. If the area of the smaller triangle is 15 in², then the area of the larger triangle can be determined as;

$\frac{area of the smaller triangle}{area of the larger triangle}$ = $\frac{5}{8}$

$\frac{15}{A_{2} }$ = $\frac{5}{8}$

5 $A_{2}$ = 15 x 8

= 120

$A_{2}$ = $\frac{120}{5}$

= 24

The area of the larger triangle is 24 in².

7 0

3 years ago

Write an algebraic expression for the following word phrase: the quotient of r and 12?

andre [41]

The expression is r/12.

4 0

3 years ago

Read 2 more answers

(Essay Question 7 Points)

Irina18 [472]

Well I don't know.
Let's think about it:

-- There are 6 possibilities for each role.
So 36 possibilities for 2 rolls.
Doesn't take us anywhere.

New direction:
-- If the first roll is odd, then you need another odd on the second one.
-- If the first roll is even, then you need another even on the second one.
This may be the key, right here !

-- The die has 3 odds and 3 evens.

-- Probability of an odd followed by another odd = (1/2) x (1/2) = 1/4
-- Probability of an even followed by another even = (1/2) x (1/2) = 1/4

I'm sure this is it. I'm a little shaky on how to combine those 2 probs.

Ah hah !
Try this:

Probability of either 1 sequence or the other one is (1/4) + (1/4) = 1/2 .

That means ... Regardless of what the first roll is, the probability of
the second roll matching it in oddness or evenness is 1/2 .

So the probability of 2 rolls that sum to an even number is 1/2 = 50% .

Is this reasonable, or sleazy ?

4 0

3 years ago

a washer has an outside radius of 6cm and a hole of radius 28cm. calculate the area of the face of the washer ( give your answer

Cerrena [4.2K]

Answer:

the area of face of washer is 22cm sq

4 0

2 years ago