The perimeter of the rectangle below is 94 units. Find the length of side PS.
Write your answer without variables.

The value of a for the equation of line CD are;

Given the following data:

a) C(5, -2), D(-4, a); m = 0

To find the value of a;

Mathematically, the slope (m) of an equation of line is given by the formula;

[tex]Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Substituting the values into the formula, we have;

[tex]0 = \frac{a - [-2]}{-4 - 5}\\\\0 = \frac{a\; + \;2}{-9}[/tex]

Cross-multiplying, we have;

[tex]-9[/tex] × [tex]0[/tex] = [tex]a + 2[/tex]

[tex]a +2 = 0[/tex]

a = -2

b) C(a, -1), D(-3, 2); m = undefined

To find the value of a;

Note: Undefined is a terminology used to refer to a mathematical expression that has not been assigned a value or isn't correct. Also, a mathematical expression is considered to be undefined when its denominator is zero (0) i.e it is divided by zero (0).

Substituting the given values into the slope formula, we have;

Undefined [tex]= \frac{2 - [-1]}{-3 - a}[/tex]

Undefined [tex]= \frac{2 + 1}{-3 - a}[/tex]

Next, we would equate the denominator to zero (0);

[tex]-3 - a = 0[/tex]

a = -3

c) C(-3, -2), D(1, a); m = 2

Substituting the values into the formula, we have;

[tex]2 = \frac{a - [-2]}{1 - [-3]}\\\\2 = \frac{a\; + \;2}{1 \;+ \;3}\\\\2 = \frac{a\; + \;2}{4}[/tex]

Cross-multiplying, we have;

[tex]4[/tex] × [tex]2[/tex] = [tex]a + 2[/tex]

[tex]a +2 = 8[/tex]

[tex]a = 8 -2[/tex]

a = 6

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Answer:

1 hour = 3 kg

27 ÷ 3 = 9 hours

hope this helps.

Answer:

Leta payed $37.50

Step-by-step explanation:

50% is another way of saying half. So half of 100 is 50. She is down to $50.00 If you take another 25% off then it is $37.50. This is because 25% of 50 is 12.50. If you subtract 12.5 from 50 then you get 37.50. This is how I know it is $37.50. Hope this helps! :)

Answer:

504,576,000

Step-by-step explanation:

16 years x 365 days x 24 hours x 60 minutes x 60 seconds = 504576000

Answer: (f+g)(5)=37

Step-by-step explanation:

(f+g) (5) is the same as saying f(5)+g(5). Since we are given f(x) and g(x), we can use them to solve. There are two ways to solve. One is to find f(5) and g(5), and then add them together. Another way is to do (f+g)(x), then plug in x=5. I will show both methods.

Method 1

f(5)=4(5)-7                       [multiply]

f(5)=20-7                         [subtract]

f(5)=13

g(5)=3(5)+9                     [multiply]

g(5)=15+9                        [add]

g(5)=24

(f+g)(5)=13+24                [add f(5) and g(5)]

(f+g)(5)=37

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

Method 2

(f+g)(x)=4x-7+3x+9         [combine like terms]

(f+g)(x)=7x+2

(f+g)(5)=7(5)+2                [plug in x=5]

(f+g)(5)=35+2                  [add]

(f+g)(5)=37

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

Now, we know that (f+g)(5)=37. We confirmed this with both methods.

Answer:

14/19

Step-by-step explanation:

Note that there are two " - " signs here.  Thus, the end result will be " + "

We move from left to right, obtaining first 10/19 divided by (5/7):

10

----- ÷ (5/7)

19

To divide by (5/7), invert (5/7) and then multiply.  We get:

10      7      2(7)

----- * ----- = ------- = 14/19

19       5       19

Answer:

For Lin's answer

Step-by-step explanation:

When you have a triangle, you can flip it along a side and join that side with the original triangle, so in this case the triangle has been flipped along the longest side and that longest side is now common in both triangles. Now since these are the same triangle the area remains the same.

Now the two triangles form a quadrilateral, which we can prove is a parallelogram by finding out that the opposite sides of the parallelogram are equal since the two triangles are the same(congruent), and they are also parallel as the alternate interior angles of quadrilateral are the same. So the quadrilaral is a paralllelogram, therefore the area of a parallelogram is bh which id 7 * 4 = 7*2=28 sq units.

Since we already established that the triangles in the parallelogram are the same, therefore their areas are also the same, and that the area of the parallelogram is 28 sq units, we can say that A(Q)+A(Q)=28 sq units, therefore 2A(Q)=28 sq units, therefore A(Q)=14 sq units, where A(Q), is the area of triangle Q.

The reason is while computing the area is found to be 14 square units.

The area of Triangle = 1/2* base *  height

given:

assumed area to be 14 square units

We will take the case of Elena

In figure the base = 7 units

height = 4 units

Area of triangle

=1/2*base*height

=1/2 * 7 * 4

=7*2

=14 square units

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Answer:

[tex]\frac{ -49i − 49v }{iv}[/tex]

Step-by-step explanation:

v= −49

i= −49

Answer:

12,403

Step-by-step explanation:

twelve thousand = 12,000

four hundred = 400

three = 3

Add them all up.

Your answer is 12,403.

Hope this helps!

Answer: 12,403

twelve thousand = 12,000

four hundred = 400

three = 3

The answer is 12,403. Hope this helps!

Answer:

The answer is 1 ⅓

Step-by-step explanation:

Anything in an absolute value whether negative or positive will always end up being a positive

Answer:

You would begin to start this equation by combining like terms.

Step-by-step explanation:

To start you would first combine 2x + 3x and you get 5x. From there you would solve 5x=10. Now you would divide by 5 on both sides to get x=2.

Answer:

Step-by-step explanation:

BD - 5 = Y

BD = Y + 5

B = (Y + 5)/D

Answer:

S=1/2gt2

you cross multiple

2s/t2 =gt2/t2

divide both sides by t2

to get

g=2s/t2

which is C

Answer:

Kendall: 24

Abdul: 8

Otis: 13

explanation:

24 is 3x more than 8 and 13 is 5 greater than 8

Answer: Kendall: 24 points; Abdul: 8 points; Otis: 13 points

Step-by-step explanation:

K= 3A

O= A = 5

O + A + K = 45

Step-by-step explanation:

-6 = 2/9 x

2/9x = -6

x = (-6)×9/2

= -27

Answer:

  $392.19

Step-by-step explanation:

I find it less tedious to write equations in a spreadsheet than to do the arithmetic by hand.

Morning time and afternoon time are found by subtracting the start time from the end time. Then the time for the day is found by adding the morning and afternoon shift hours.

Rounding to the nearest quarter hour can be done a couple of ways. In a spreadsheet, you multiply hours by 4, round to an integer, then divide that integer by 4 to get the rounded hours. (In a spreadsheet, hours are 1/24 of a day. When the hours:minutes are converted to decimal, you get a number of days. To make hours again, you need to multiply that by 24.)

Of course, hours are multiplied by $12.50 to get pay for all days but Sunday. For Sunday, that product is again multiplied by 1.5 for "time and a half."

The total pay is $392.19.

Answer:smbhaISHBIA

Step-by-step explanation:

ahbkjbajbsx

Answer:

Division property of equality

Step-by-step explanation:

Answer:

I hope this picture helps tho!!

Answer:

A = 5

B = 3

C = 5

D = 3

Step-by-step explanation:

A - B = 2

• 5 - 3 = 2

A + C = 8

• 5 + 3 = 8

A + C = 10

• 5 + 5 = 10

B + D = 8

• 5 + 3 = 8

Answer: B

Step-by-step explanation:

The converse means X --> Y , so Y --> X.

In other terms, you just need to reverse the terms and review that it turns out correct. In answer B, it does that just right.

Answer:

It should be the second one.

Step-by-step explanation:

Converse is just switching the hypothesis and conclusion, or the "if... then..." portion of the conditional.

Answer:

The Pool should be 10 feet wider

Step-by-step explanation:

The rectangngle shaped pool will have 4 sides...

If the Pool is 60 feet long then 120 feet should be covered by Tiles.

so only Tiles of 20 feet are left...

Hence the border will be 10 on one side and 10 on the other side

The Pool should be 10 feet wider

The rectangle-shaped pool will have 4 sides

In the case when the Pool is 60 feet long then 120 feet should be covered by Tiles.

Thus,  only Tiles of 20 feet are left...

Therefore,  

Hence the border will be 10 on one side and 10 on the other side

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Answer:

a). 85 people

b). 4362 people

Step-by-step explanation:

The given bar graph shows how many people per 100 spelled each word correctly.

a. From the graph given extreme end of the bar for the word "weird" is between 80 - 90.

Therefore, approximate number of the persons who spelled weird correctly will be 85 (rounded to the nearest 5).

b. The number of people who can correctly spelled word "weird" = 85

The number of people who can correctly spelled word "inoculate" = 35

In 100 people, number of people who can correctly spell "weird" more than "inoculate"

= 85 - 35

= 50

in a group of 8724 randomly selected people, number of people who can spell the word "weird" correctly more than "inoculate"

= [tex]\frac{50}{100}\times 8724[/tex]

= 4362 people

Random selection means each individual has equal chance of being selected.

Given graph has the following information:

Total number of people under survey=100

a. To estimate the number of people per 100 who spelled weird correctly

From the graph it is around 84 and rounding it to nearest 5 will results in 85.

b. From the graph,

Number of people can correctly spell inoculate= 35

Number of people can correctly spell weird than inoculate=85-35

=50 out of 100

Using unitary method as follows:

100-------->50

1------------>1/2

8724------>1/2x8724

=4362

Thus, out of  8724 randomly selected​ people, 4362 people can correctly spell weird than inoculate.

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Answer:

1200000

Step-by-step explanation:

Esun as ma

Answer:

4 rows

Step-by-step explanation:

GCF of 12 and 16 is4

Answer:

591.77

Step-by-step explanation:

we multiply 600 by 3 to get 1,800 then subtract 1,208.23 from 1,800 to get 591.77

Answer:

The perimeter is (47x2)+(57x2). So the answer is 208ft

Step-by-step explanation:

Answer:

1891 empty seats.

Step-by-step explanation:

for night 1: 4000- 3159= 841.

for night 2: 4000- 2950= 1050.

1050+841= 1891.

there were 1891 empty seats for the two nights.

Answer:

True, there you go! hope it helps! Please vote Brainliest!

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

To simplify an expression means to ensure there are no parentheses and no like terms.