Apply the distributive property to factor out the greatest common factor 12 + 80

Answer:

A is -8

B is 28

Step-by-step explanation:

Let us rewrite the equation in the standard format of y = mx + b

By = -Ax + 12

y = (-A/B)x + 12/B

Now, since the line is parallel to the line given below, then their slopes must be equal

2x - 7y = 3

7y = 2x - 3

y = (2/7)x - 3/7

slope here is 2/7

Thus;

-A/B = 2/7

let’s now insert the point that the line passes through

We have;

1 = (-A/B)2 + 12/B

but -A/B = 2/7

1 = 4/7 + 12/B

12/B = 1 - 4/7

12/B = 3/7

B = (7 * 12)/3

B = 28

-A/28 = 2/7

-7A = 56

A = 56/-7

A = -8

Answer:

slope = 7

Y intercept =  2

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

21/28 is 0.75 and 12/16 is 0.75 so they are proportional

Answer: Slope=–2, y-intercept= (0, –3), and x-intercept (–3/2, 0).

Step-by-step explanation:

Slope of the graph is -2 and y intercept is -3.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given graph equation is g(x) = -2x - 3

g(x) equal to minus two x minus three.

By the equation of slope intercept form y=mx+c

where m is the slope and c is the y intercept.

m=-2 and c=-3

Let us plot a graph by data

x          0         1          2        3        4

g(x)     -3        -5        -7       -9       -11

Hence slope of the graph is -2 and y intercept is -3.

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Answer:

C

Step-by-step explanation:

You need to multiply 14 x 220%

220% = 2.2

So 14 * 2.2 = 30.8

Another way to think of it would be: 100% of 14 = 14

So 200% would mean you need to double that, which would be 28

Then the final 20% would add 2.8

Add 28 + 2.8 = 30.8

Answer:

the answer is c

Step-by-step explanation:

sorry if im wrong have a good day or night

Answer:

71

Step-by-step explanation:

Answer:

$28.5

Step-by-step explanation:

25% of 38 is 9.5. You subtract 9.5 from 38 to get 28.5.

Answer:

235

Step-by-step explanation:

to get 235 first you get your #'s  

# 1= 90

#2= 90

#3= 55

Add!

90

90

55

_____

235

Answer:

No, it is 6.60

Step-by-step explanation:

We need to know the cost of 1 pound, so we have to do 3.60 divided by 3, to get the cost of 1 pound, which is 1.20

We times 1.20 by the amount of pounds we need, (5.5,) and get 6.60.

If it was times just 5 pounds, than yes, it would be correct, but we need to look out for decimals too.

Answer:

d. $6.60

Step-by-step explanation:

3 cost 3.60, then 5.5 would cost ?

So we have to find what multiplied with 3 would equal 5.5, so:

5.5/3, we can't simplify this fraction so we'll just use it to multiply 3.60

3.60 × 5.5/3 = 19.8/3 = 6.6

Answer:

θ = 17.45°

Step-by-step explanation:

Given that,

Length of a ladder = 40 foot

Height of a building = 12 feet

We need to find the angle of elevation that the ladder makes with the ground.

40 foot will be the hypotenuse and 12 feet will be the perpendicular distance.

Using trigonometry for this:

[tex]\sin\theta=\dfrac{P}{H}\\\\\sin\theta=\dfrac{12}{40}\\\\\theta=17.457^{\circ}[/tex]

So, the angle of elevation that the ladder makes with the ground is 17.45°.

The angle of elevation is [tex]17^\circ[/tex] to the nearest degree

The right-angled triangle formed can be solved for the angle of elevation if we note that

So, the trigonometric ratio to be used here is the [tex]sin\theta[/tex]. That is

[tex]sin\theta=\dfrac{\text{height of the building}}{\text{length of ladder}}[/tex]

substituting the values

[tex]sin\theta=\dfrac{12}{40}\\=\dfrac{3}{10}[/tex]

Now, to find the angle of elevation, [tex]\theta[/tex]

[tex]\theta=sin^{-1} \left(\dfrac{3}{10} \right)\\\approx 17^\circ \text{ (to the nearest degree)}[/tex]

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Answer:

Common stockholders received $1,600.

Step-by-step explanation:

Cumulative preferred stock can be described as a type of preferred stock in which dividends not paid in any year accumulate and has to be paid first in future before common stockholders receive any dividends.

Since the dividends paid in cash by Alpha Corporation includes one- year dividends in arrears to preferred stockholders, this implies that the cumulative preferred stockholders have to paid 2-year dividends, i.e. the one-year arrears plus the current year dividend.

Amount received by common stockholders can be calculated as follows:

Amount of dividend paid by Alpha = $10,000

Annual cumulative preferred stock dividend = 1,500 * $40 * 7% = $4,200

Amount received by cumulative preferred stockholders = Annual cumulative preferred stock dividend * 2 years = $4,200 * 2 = $8,400

Amount received by common stockholders = Amount of dividend paid by Alpha - Amount received by cumulative preferred stockholders = $10,000 - $8,400 = $1,600

Therefore, common stockholders received $1,600.

Answer: Reflect across the y, then translate 7 units down, the triangles are the same

Step-by-step explanation:

I'm sure there're other ways, but this one works. After you translate it down, the triangles are the same, meaning they're congruent.

Answer:

$179.8

Step-by-step explanation:

Answer:

$179.8

Step-by-step explanation:

you have to figure out how much is 20% off and then subtract the 2 numbers. :3 hope this helped!

Answer:

Step-by-step explanation:

If x = -5

Entonces f(X) = (-5) - 5 = -10

If x = 0

So f(x) = (0) - 5 = -5

When x = 5

So f(x) = (5) - 5 = 0

Don't pay attention to the "F", it just means they want the whole result of the operation if you replaced "x" with a number.

Remember that there are negative and positive numbers.

Any number below zero is negative.

Answer:

8 hours

Step-by-step explanation:

15/3 = 5

12/3 = 4

5 x 2 = 10

4 x 2 = 8

Answer: x=8, y=10

-8x+4y=-24

7x-4y=16

-x=-8

x=8

-64+4y=-24

4y=40

y=10

Answer:

The answer is the last one, D, pictured above on the question, I took the test and it showed it was the right one

Step-by-step explanation:

The geometric expression of two complex number is the magnitude r₁*r₂ and the phase is  θ₁ + θ₂.

The complex number is" the combination of real numbers and an imaginary number. The complex number is of the form a + i b".

According to the question,

z, w are the two complex numbers. The distance from its point in the complex plane to the origin (0,0) and the angle formed by the line segment from the origin to the point and the positive half of the x-axis.

The distance or 'magnitude' to the origin is denoted as 'r' and the angle or 'phase' formed denoted as 'θ'. The distance to the origin is called 'magnitude'.

The parameter 'r' and 'θ' related to 'a' along x-axis and 'b' along y-axis.

Euclidean distance formula applying Pythagorean theorem we have

r =  [tex]\sqrt{a^2+b^2}[/tex].

The sine angle is defined to the ratio y-coordinate 'b' to length  'r' and the cosine angle is defined to the ratio x-coordinate 'a' to length 'r'.

sin θ =  [tex]\frac{b}{r}[/tex]  and cos θ = [tex]\frac{a}{r}[/tex].

b = r sin θ; a = r cosθ

When multiplying two complex numbers we by multiplying magnitude together and add two phase. when divide two complex number by dividing the magnitude correspondingly and subtracting the phase from the numerator and the denominator.

Then we have product complex number to the magnitude r₁ and phase θ₁

with a complex number to the magnitude r₂ and the phase θ₂ which gives   the complex number with magnitude r₁ * r₂ and θ₁ + θ₂.

Hence, the geometric representation of z w is with magnitude r₁*r₂  and phase is θ₁ + θ₂.

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Answer:

10 grams

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer: -2√5

Step-by-step explanation:

Answer:

you will pay 25$ every month

Step-by-step explanation:

909 - 250 - 59 = 600

600 dollars divided by 24 is 25

Hope this helps

Answer:

lololololololoolollollloololololollololololololoolololollolololoolololololololololollollloloolloolololololololololololoolollollloololololollololololololoolololollolololoolololololololololollollloloolloolololololololololololoolollollloololololollololololololoolololollolololoolololololololololollollloloolloolololololololololololoolollollloololololollololololololoolololollolololoolololololololololollollloloolloolololololololololololoolollollloololololollololololololoolololollolololoolololololololololollollloloolloolololololololololololoolollollloololololollololololololoolololollolololoolololololololololollollloloolloolololololololololololoolollollloololololollololololololoolololollolololoolololololololololollollloloolloolololololololololololoolollollloololololollololololololoolololollolololoolololololololololollollloloolloolololololololololololoolollollloololololollololololololoolololollolololoololololololollololololololoolololollolololoolololololololololollollloloolloolololololololololololoolollollloololololollololololololoolololollolololoolololololololololollollloloolloolololololololololololoolollollloololololollololololololoolololollolololoolololololololololollollloloolloolololololololololololoolollollloololololollololololololoollollollloololololollololololololoolololollolololoolololololololololollollloloolloolololololololololololoolollollloololololol

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

1000

Step-by-step explanation:

Answer:

huh????

Step-by-step explanation:

Answer:

5 no = 1 .................m

Answer:

1a. n=7

2a. p=3

3a. m=48

4a. a=81

5a. a=8

6a. p=14

7a. s=60

8a. r=18

9a. n=65

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

1b. a=15

2b. b=5

3b. n=10

4b. d=13

5b. e=120

6b. n=45

7b. x=8

8b. x=56

9b. a=96

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

1c. b=36

2c. r=120

3c. s=11

4c. m=112

5c. i=272

6c. b=20

7c. a=42

8c. m=11

9c. p=21

Step-by-step explanation:

1. 2n+2= 16

Subtract 2 from each side

2n=14

Divide each side by 2.

n=7

2a. 11p-5=28

Add 5 to each side

11p=33

Divide each side by 11

p=3

3a. m/16 +7=10

Subtract 7 from each side

m/16 =3

multiply each side by 16

m=48

4a. a/9 -3 =6

Add 3 to each side

a/9=9

Multiply each side by 9

a=81

5a. 9a-11=61

Add 11 to each side

9a=72

Divide each side by 9

a=8

6a. 3p+12=54

Subtract 12 from each side

3p=42

Divide each side by 3

p=14

7a. s/15+1=5

Subtract 1 from each side

s/15=4

Multiply each side by 15

s=60

8a. 3r-11=43

Add 11 to each side

3r=54

Divide each side by 3

r=18

9a. n/5 -5=8

Add 5 to each side

n/5=13

Multiply each side by 5

n=65

1b. a/3-1=4

Add 1

a/3=5

Multiply by 3

a=15

2b. 8b+12=52

Subtract 12

8b=40

Divide by 8

b=5

3b. 6n+4=64

Suntract 4

6n=60

Divide by 6

n=10

4b. 5d+6=71

Subtract 6

5d=65

Divide by 5

d=13

5b. e/12-7=3

Add 7

e/12=10

Multiply by 12

e=120

6b. n/3+12=27

Subtract 12

n/3=15

Multiply by 3

n=45

7b. 6x+25=73

Subtract 25

6x=48

Divide by 6

x=8

8b. x/7+14=22

Subtract 14

x/7= 8

Multiply by 7

x=56

9b. a/6+4=20

Subtract 4

a/6=16

Multiply by 6

a=96

1c. b/4+2=11

Subtract 2

b/4=9

Multiply by 4

b=36

2c. r/20-3=3

Add 3

r/20=6

Multiply by 20

r=120

3c. 4s-5=39

Add 5

4s=44

Divide by 4

s=11

4c. m/8+5=14

Subtract 5

m/8=14

Multiply by 8

m=112

5c. i/4+5=73

Subtract 5

i/4=68

Multiply by 4

i=272

6c. 5b-7=93

Add 7

5b=100

Divide by 5

b=20

7c. a/3-3=11

Add 3

a/3=14

Multiply by 3

a=42

8c. 5m+13=68

Subtract 13

5m=55

Divide by 5

m=11

9c. 3p-15=48

Add 15

3p=63

Divide by 3

p=21

One or two may be wrong but that's because I was trying to do the answers quickly.

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

Answer:

-28, -17, 22.4, |-27|

Step-by-step explanation:

Answer:

from Ron to Bill from Bill to John the ball traveled about 80 yd

Step-by-step explanation:

Ron 30 yd from John

Bill 40 yd away from John

Bill 10 yd away from John