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3 years ago

17. Solve for w: P = 21 + 2w

Mathematics

1 answer:

Viktor [21]3 years ago

5 0

Answer:

w = -10.5

Step-by-step explanation:

p = 21 +2w

get 2w by its self

p= 21 + 2x

-21 -21

p - 21 = 2w

cancel out p

p(0) - 21 = 2w

-21 = 2w

divide both sides by 2

w= -10.5

Hope this helps!!!

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e-lub [12.9K]

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3 years ago

The length of a rectangular driveway is five feet more than three times the width. The area is 350ft2. Find the width and length

crimeas [40]

Answer:

width -- 10 ft
length -- 35 ft

Step-by-step explanation:

We can let x represent the width. Then the length will be represented by (3x+5), a value 5 more than 3 times the width.

The area is the product of length and width, so is ...

A = (3x +5)(x) = 3x^2 +5x

To make the area 350, we can find the value of x from ...

3x^2 +5x = 350

This can be solved a number of ways. One of them is "completing the square".

3(x^2 +5/3x) = 350

We choose to divide by 3 and add the square of half the x-coefficient.

x^2 +5/3x +(5/6)^2 = (350/3) + (5/6)^2

(x +5/6)^2 = 4225/36 . . . . simplify

x +5/6 = ±√(4225/36) = ±10 5/6 . . . . take the square root

x = 10 or -11 2/3 . . . . subtract 5/6

The positive solution is the one of interest: x = 10.

The driveway is 10 ft wide and 35 ft long.

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3 years ago

Please help fast!!! Part A How many solutions does the pair of equations for lines A and B have?

Vadim26 [7]

Answer:

1 solution

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Step-by-step explanation:

The pair of equations for lines A and B have 1 solution because there is one point of intersection.

The point of intersection is (3, 4), therefore this is the solution.

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2 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

Ef is the median of trapezoid abcd (please explain the answer im so confused lol)

Art [367]

Step-by-step explanation:

Okay, so...

The Median of a trapezoid is directly in the middle. For some weird mathimatical reason you won't ever need to know unless it's on an exam or you become a math major, its midsegment is the average of the top length and the bottom length.

In other words,

EF = ( BC + AD ) / 2

So for part 1, we can use that equation to find x.

$EF = ( BC + AD ) / 2$

Insert known equations.

$4x-18=[(x+12)+(3x-4)]/2$

Simplify within parentheses.

$4x-18=[x+12+3x-4]/2$

$4x-18=[x+3x+12-4]/2$

Add.

$4x-18=[4x+8]/2$

Divide.

$4x-18=2x+4$

Simplify.

$(4x-2x) +(-18+18)=(2x-2x)+(4+18)$

$2x=22$

Divide both sides by 2.

$x=11$

Part 2 is a lot easier now. All we have to do is plug in 11 for x.

$BC =x+12$

$BC = 11+12$

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$AD = 4(11)-18$

$AD = 44-18$

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$EF = 3(11)-4$

$EF = 33-4$

$EF = 29$

Answer:

Part I: x = 11

Part II:

BC = 23
AD = 26
EF = 29

4 0

3 years ago

17. Solve for w: P = 21 + 2w​

17. Solve for w: P = 21 + 2w