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elena-s [515]
3 years ago
15

Pls answer and explain how you got it - i will mark brainliest (just answer #28)

Mathematics
2 answers:
Lelu [443]3 years ago
5 0

Answer:

28. 5x² × y^-3 × z

29. 2a⁵m⁵ × p^-2

Step-by-step explanation:

Volume = base area × height

1) 10x⁴z/y⁵ = 2x²/y² × height

Height = 10x⁴zy²/2x²y⁵

= 5x²z/y³

= 5x² × y^-3 × z

2. 14m⁸/a³p = 7p × 2m³/a⁸ × width

Width = 14m⁸a⁸/7a³p²m³

= 2a⁵m⁵/p²

= 2a⁵m⁵ × p^-2

Akimi4 [234]3 years ago
4 0

Answer:

5 x^2 y^ (-3) z = ?

Step-by-step explanation:

We know the volume of a rectangular prism is given by

V = l*w*h

V = 2x^2 * y^-2 * ?

We are given the volume

V =10x^4 y^-5 z

Set  the two equal

10x^4 y^-5 z = 2x^2 * y^-2 * ?

Divide each side by 2x^2 y^-2

10x^4 y^-5 z /2x^2 y^-2 = 2x^2 * y^-2 * ?/2x^2 * y^-2

10x^4 y^-5 z/ 2x^2 y^-2 = ?

Simplifying

10/2  * x^4/x^2  y^-5/ y^-2  z = ?

We know that a^b/ a^c = a^(b-c)

5 x^ (4-2) y^(-5 - -2) z = ?

5 x^2 y^ (-5 +2) z = ?

5 x^2 y^ (-3) z = ?

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strojnjashka [21]
39,916,800 is the answer
4 0
3 years ago
Solve using long division.
Mkey [24]

Answer:

Quotient is 3x-5 and remainder is 0.

Step-by-step explanation:

Given:

Dividend = 3x^2+7x-20

Divisor = x+4

The long division is shown in the attachment.

Step 1: we need to divide 3x^2+7x-20 with x+4 we first multiply x+4 with 3x we get the remainder as -5x-20

Quotient as 3x.

Step 2: Now the dividend is -5x-20 and divisor x+4 now we will multiply x+4 with -5 we get the remainder as 0 and Quotient as 3x-5

Hence Quotient is 3x-5 and remainder is 0.

6 0
3 years ago
Can someone please help me
xxTIMURxx [149]
You have to subtract 5x since its positive bring it to the other side then divide with negative one with everything which you get you y = 5- 5x
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7 0
2 years ago
How do you simplify this
Dafna11 [192]

Top:

x / (x + 1) - 1 / x

= [x^2 - (x +1)] / x(x+1)

= (x^2 - x - 1 ) / x (x+1)

Bottom:

x / (x + 1) + 1 / x

= [x^2 + (x +1)] / x(x+1)

= (x^2 + x + 1 ) / x (x+1)

Now you have:

(x^2 - x - 1 ) / x (x+1)

----------------------------

(x^2 + x + 1 ) / x (x+1)

= (x^2 - x - 1 ) / x (x+1) * x (x+1) / (x^2 + x + 1 )

= (x^2 - x - 1 ) /(x^2 + x + 1 )

Answer:

x^2 - x - 1

---------------------

x^2 + x + 1

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3 years ago
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