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nadya68 [22]
3 years ago
12

PLEASE NEED ANSWER HELP ASAP

Mathematics
2 answers:
Aleks04 [339]3 years ago
8 0

Answer:

VW=18

Step-by-step explanation:

UV+VW=UW

10+4x=6x+1

2x=9

x=9/2

VW=4x

VW=4*9/2

VW=18

AfilCa [17]3 years ago
3 0

Answer: VW=18

Step-by-step explanation:

Since we know that the line segment is UW, we know that it consists of UV and UW. Therefore, we add UT and VW, and set it equal to UW to find x.

10+4x=6x+1                             [subtract each side by 1]

9+4x=6x                                  [subtract both sides by 4x]

9=2x                                        [divide both sides by 2]

x=9/2

Now that we have found x, we can plug it into VW to find the length.

VW=4(9/2)                              [multiply]

VW=18

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Evaluate: 2xy^2-3xy-7 if x=-4and y=5
Margaret [11]

Answer:

-147

Step-by-step explanation:

-8 x 25 + 60 -7

5 0
3 years ago
The perimeter of a rectangle is 60. The length is twice the width. Find the length and width.
prohojiy [21]

Step-by-step explanation: Our first task in this problem is to setup variables representing <em>length</em> and <em>width</em> and we do that by using the second sentence.

<em><u>The length is twice the width</u></em>

So if we call our width <em>x</em>, that means that our length is 2 times <em>x</em> or 2x

Width of the rectangle ⇒ <em>x</em>

Length of the rectangle ⇒ <em>2x</em>

Before moving on, go ahead and draw a picture of your

rectangle so that you can visualize what's going on.

I have done this for you below.

We label our widths <em>x</em> and our lengths <em>2x</em>.

Now we can use the first sentence to setup our equation.

The perimeter of a rectangle is the distance

around the outside of the figure.

So if our perimeter is 60, that means that x + x + 2x + 2x = 60.

Simplifying by combining like terms, we get 6x = 60.

Now dividing both sides by 6, we find that <em>x = 10</em>.

Since <em>x</em> represents width, our width is 10.

Our length therefore with be <em>2(10)</em> or 20.

So our width is 10 and our length is 20.

8 0
3 years ago
1 yard is blank times as long as blank foot
8_murik_8 [283]

Answer:

3

Step-by-step explanation:

1 yard is three feet

5 0
3 years ago
Xanthia can read 100 pages per hour and Molly can read 50 pages per hour. If they each read the same book, and the book has 225
Talja [164]

Answer:

135 minutes

Step-by-step explanation:

Let

y -----> the number of pages to finish reading the book

x ----> the number of hours

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the unit rate or slope of the linear equation

b is the y-intercept or initial value

In this problem we have

<em>Xanthia</em>

m=100\ pages/hour

b=225\ pages

y=-100x+225 ----> the slope is negative because is a decreasing function

For y=0

substitute and solve for x

0=-100x+225

100x=225

x=2.25\ hours ---> Xanthia's time to finish reading the book

<em>Molly</em>

m=50\ pages/hour

b=225\ pages

y=-50x+225 ----> the slope is negative because is a decreasing function

For y=0

0=-50x+225

50x=225

x=4.5\ hours --- Molly's time to finish reading the book

To find out how many more minutes than Xanthia would it take for Molly to finish reading the book, subtract Xanthia's time from Molly's time

4.5\ h-2.25\ h=2.25\ h

Convert to minutes

Multiply by 60

2.25\ h=2.25(60)=135\ minutes

4 0
3 years ago
Read 2 more answers
A kite 100 ft above the ground moves horizontally at a speed of 6 ft/s. At what rate is the angle (in radians) between the strin
arlik [135]

Answer:

0.015 radians per second.

Step-by-step explanation:

They tell us that at the moment the speed would be 6 ft / s, that is, dx / dt = 6 and those who ask us is dθ / dt.

Which we can calculate in the following way:

θ = arc sin 100/200 = pi / 6

Then we have the following equation of the attached image:

x / 100 = cot θ

we derive and we are left:

(1/100) * dx / dt = - (csc ^ 2) * θ * dθ / dt

dθ / dt = 0.01 * dx / dt / (- csc ^ 2 θ)

dθ / dt = 0.01 * 6 / (- csc ^ 2 pi / 6)

dθ / dt = 0.06 / (-2) ^ 2

dθ / dt = -0.015

So there is a decreasing at 0.015 radians per second.

3 0
2 years ago
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