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Mice21 [21]
2 years ago
5

Write an equation for each line.

Mathematics
1 answer:
Tems11 [23]2 years ago
5 0

Answer:

Step-by-step explanation:

Equation of blue line:

blue line is parallel to y-axis

⇒ x = 5

Equation of green line:

Green line is parallel to x-axis.

y = 2

Equation of red line:

At y-intercept x = 0. Point on red line is (0,5)

So, y-intercept = 5

y = mx + b Here,  m is slope any b is y-intercept.

y = mx + 5

Now, choose any other point in red line. ((1,7)

Substitute this value in the above equation and we can find m

7 = m*1 + 5

7 - 5 = m

m = 2

y = 2x + 5

Equation of black line:

Black line and red line are parallel and so, they have same slope.

y = 2x + b

y-intercept (0,-6) ; b = -6

y = 2x - 6

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Joe's Painting charges $100 plus $20 per hour to paint the exterior of your home. Steve's Painting charges $120 plus $15 per hou
Tanzania [10]

Joe's Painting: 20x + 100 = y

Steve's Painting: 15x + 120 = y

x = hours worked

y = total income

We can find when the two equations intersect by making them equal to each other. That means we put an equal sign in the middle. So, it would look something like this:

20x + 100 = 15x + 120

First, we have to move the 100 by subtracting it from both sides.

20x = 15x + 120 - (100)

20x = 15x + 20

Then, we need to move the 15x by subtracting it from both sides.

20 - (15x) = 20

5x = 20

Lastly, we need to divide 5 from both sides.

5x = 20/5

x = 4

Therefore, Joe and Steve would have to work for 4 hours in order for their models to be equal to each other.

5 0
3 years ago
Tara has 3 over 4 cup of ice cream. How many 1 over 5 -cup servings are in 3 over 4 cup of ice cream?
qwelly [4]

Answer:

0.15 cup servings

Step-by-step explanation:

sorry if its wrong idk

8 0
3 years ago
One side of a triangle is 3 times the second side. The third side is 17 feet longer than the second side. The perimeter of a
Nadya [2.5K]

Answer:

Step-by-step explanation:

lets have one side =a

P=3a+a+(17+a)=52

P=5a+17=52

5a=52-17

5a=35

a=7

second side=21

third side=24

3 0
3 years ago
Now use the distributive property to factor the expression you obtained in part D??????
Step2247 [10]

Answer:

150 + 2x

The greatest common factor of 150 and 2x is 2. Factor out a 2 from both terms:

2(75) + 2(x).

Use the Distributive Property, A(B + C) = AB + AC, to rewrite the expression:

2(75 + x).

The expression 150 + 2x is equivalent to 2(75 + x).

Step-by-step explanation:

Might want to change it up a bit bc thats the exact answer. Hope that helps

8 0
3 years ago
Read 2 more answers
Simplify this problem::<br> -6x + 3 3/4 + 14x - 3.25
Lynna [10]

Answer:

8x + 1/2 or 8x + 0.5

Step-by-step explanation:

-6x + 3 3/4 + 14x - 3.25

u can either convert the fraction to a decimal or convert the decimal into a fraction, i'm going to do the latter

-6x + 3 3/4 + 14x - 3 1/4

rearrange to make it easier, don't need to do this i'm just doing this for the sake of it

-6x + 14x + 3 3/4 - 3 1/4

8x + 2/4, simplify this

8x + 1/2

The decimal way if u want:

-6x + 3 3/4 + 14x - 3.25

-6x + 3.75 + 14x - 3.25

-6x + 14x + 3.75 - 3.25

8x + 0.5

6 0
3 years ago
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