1. Point A is located at (1,5) and point Q is located at (-2, -7). Calculate the distance between the two points. Round to the nearest hundredth, if necessary.

Since, a rectangle with a diagonal of length x is twice as long as it is wide, the area of the rectangle is (B) 2x²/5

Given that we have a rectangle with a diagonal of length x is twice as long as it is wide.

Let

Given that the length of diagonal, x is twice as long as it is wide, we have that

L = 2W

Also, since it is rectangle, we have that

D² = L² + W²

D² = (2W)² + W²

D² = 4W² + W²

x² = 5W²

W² = x²/5

W = x/√5

W = x√5/5

Since the length of the rectangle, L = 2W, we have that

L = 2W

= 2x√5/5

The area of the rectangle is given by A = LW where

So, A = LW

= 2x√5/5 × x√5/5

= 2x² × 5/25

= 2x²/5

So, the area of the rectangle is (B) 2x²/5

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The value of the length of the newspaper is 21.52 inches and the width is 22.74 inches.

The rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

Area of rectangle = length × width.

Perimeter of rectangle = 2( length + width).

Lets say,

Length of newspaper = l

Width of newspaper = w

Area of newspaper ( rectangle ) = l × w

Now,

Length is about 1.22 times its width.

So,

l = 1.22w

By substituting

1.22w × w = 630.92

1.22w² = 630.92

w² = 517.147

w = 22.74 inches

So,

l = 1.22 × 22.74

l = 21.52 inches

Hence "The value of the length of the newspaper is 21.52 inches and the width is 22.74 inches".

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Answer:

76.5

Step-by-step explanation:

Step-by-step explanation:

Integers only

b

Rational numbers only

c

Integers and Rational numbers only

d

Whole numbers, Integers, and Rational numbers

Answer:

B

Step-by-step explanation:

It would be b, because she withdraws money. A withdrawal of money would be negative.

3 however, would be positive. The number of days cannot be negative, and we cannot count backwards in time.

Hope this helps! :)

Answer:

25

Step-by-step explanation:

if you look at it, 250 is 1/4 of 1000 and 100 is 1/10 of 1000 so divide 250 by 10 and you get your answer.

Answer:

free

Step-by-step explanation:

Answer: its geometric

Step-by-step explanation: The numbers are separated and are counting up Individually

Answer:\

Step-by-step explanation:

answer: x= 2,y=1

hope i helped you :0

Answer:

Step-by-step explanation:

We can use a proportion to solve this.

Let x = how long the room is on the map

So, x/32 = 0.5/4

Cross multiply

4x = 16

Divide by 4

x = 4

Check

4/32 = 0.5/4

4 x 4 = 32 x 0.5

16 = 16

Our answer is correct

Step-by-step explanation:

We find the stationary point of (20 + 2x)(1200 - 60x),

where x is the unit rate of increase/decrease.

d/dx [(20 + 2x)(1200 - 60x)]

= d/dx (-120x² + 1200x + 24000)

= -240x + 1200.

When d/dx [(20 + 2x)(1200 - 60x)] = 0,

We have -240x + 1200 = 0. => x = 5.

Price per shirt that maximise revenue

= $20 + $2x = $20 + $2(5) = $30.

Maximum revenue

= (20 + 2(5))(1200 - 60(5))

= $30 * 900 = $27,000.

Answer:

50 years.

Step-by-step explanation:

Hope this helps!

Answer:

65 pounds of ice

Step-by-step explanation:

15-2=13

13/0.2=65

Answer:

[tex] \boxed{y = - \frac{3}{4} x + 4}[/tex]

Step-by-step explanation:

The graph decreases. That meand the slope is in negative.

[tex]y = mx + b[/tex]

where m = slope and b = y-intercept. If the slope is positive, the graph will increase. Otherwise, decrease.

The only choice that the slope is negative is the third choice.

Answer:

red: 13/33

yellow: 12/33

blue: 8/33

Step-by-step explanation:

Add together all of the values to find the total amount of sections (13+12+8=33) --> this will be your denominator

From there, each time you make the numerator the number of that color, which gives you:

red: 13/33

yellow: 12/33

blue: 8/33

I hope this helps!

Answer:

The probability of landing on red is 13/33, the probability of landing on yellow is 12/33, and the probability of landing on blue is 8/33.

Step-by-step explanation:

Everything is just a fraction, so just add all the numbers for your denominator, and put the other number for red yellow or blue as the numerator then simplify the fraction

The equation y--4=-2(x--1)

Answer:

domain: -2,-3, -1, 0, 1, 2

range: -2, -1, 0, 1, 2, 3

domain is the x value, range is for the y values

in this case, this isn't a line, it's just a line plot, so you just list the coordinates of where each point is for x and y.

Answer:

−6x+12

Step-by-step explanation:

Expand by distributing terms.

-6x-6\times -2

−6x−6×−2

2 Simplify  6\times -26×−2  to  -12−12.

-6x-(-12)

−6x−(−12)

3 Remove parentheses.

-6x+12

−6x+12

Answer:

y = 6

Step-by-step explanation:

You solve by using the pythagorean theorem, which is:

[tex]a^{2} +b^{2} =c^{2}[/tex]

Where a and b are legs of the triangle, and c is the hypotenuse, or y in this case. So let's rearrange this equation for c:

[tex]c=\sqrt{a^{2} +b^{2} }[/tex]

Now, we can substitute in the known values and solve:

[tex]c=\sqrt{3.6^{2} +4.8^{2} } = \sqrt{36} = 6[/tex]

Therefore, the value of y is 6

Hope this helps!

Answer:

I didnt know that and now that I do idc caus math is well y'know math -_-

Answer: 7,8,9

Step-by-step explanation: all the numbers between 6 and 10

Answer:

63=9-28

Step-by-step explanation:

just add them together

Answer:

its false

Step-by-step explanation:

i just know cuz im  smart

Answer:

y=x+9

Step-by-step explanation:

First, remove the parentheses.

Write in slope-intercept form. (y=mx+b)

Answer:

13.5

Step-by-step explanation:

7.5 percent *180=

(7.5:100)*180=

(7.5*180):100=

1350:100= 13.5

Answer:

Approximately $1.87 ($1.869)

Step-by-step explanation:

There are 2 ways to do it

1.78 x 1.05 = 1.869 / $1.87

Or

1.78 x .05 = .089

1.78 + .089 = 1.869 / $1.87

Answer:

$216

Step-by-step explanation

We know that we are paying 80% of the price of the airpods (20% off) so we can multiply the full price by 0.8.

250 * 0.8

This will give us 200.

Now, we need to add the sales tax which is 8%.

Simply multiply the 200 by 1.08 since we are paying the 200$ plus an extra 8% of the cost.

200 * 1.08 = $216

I hope this helped.

Answer:

2x +16

Step-by-step explanation:

group them by similar variables

8x-6x. 11+5

2x+16

Answer:

2x+16

Step-by-step explanation:

combine like terms

8x-6x+11+5

8x-6x=2x

2x+11+5

11+5=16

2x+16