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Lisa [10]
2 years ago
8

Which graph represents the function y = 2/3x -2.?

Mathematics
1 answer:
arlik [135]2 years ago
7 0

second one to the right

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Find the equation of a line that passes through the points (1,-5) and (3,-6).
Paha777 [63]

Answer:

y = -1/2x +11/2

Step-by-step explanation:

slope finding: -5+6/1-3 = -1/2

equation making: y+5 = -1/2(x-1)

rearranging: y = -1/2x +11/2

7 0
3 years ago
A girl is on the beach and the angle of elevation from her feet to the top of a lighthouse is 62' If the lighthouse is 30ft tall
soldi70 [24.7K]

Answer:

15.95 feets

Step-by-step explanation:

Given that:

Angle of elevation = 62°

Using trigonometric relation :

Tanθ = opposite / Adjacent

From the drawing attached :

Opposite = 30 feets

Distance between girl and lighthouse = d

Tan 62 = 30 / d

1.8807264 * d = 30

d = 30 / 1.8807264

d = 15.951283

d = 15.95 feets

3 0
3 years ago
A package contains 6 cups of cereal. Each serving is 1/4 cup of cereal. How many serving are there in all?
Marina CMI [18]

Answer:

1 and 2/4 I think

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
A truck's gas tank holds 50 gallons of gas. if one gallon takes 30 seconds to pump, how many minutes will it take to fill the em
umka2103 [35]
To find how long it will take to fill the tank, you can use the idea that every 30 seconds will get you one gallon closer to being full.

This means to fill 50 gallons, you will need 50 groups of 30 seconds.  

50 x 30 = 1500 seconds

1500/60 = 25 minutes.

It will take 25 minutes.  

You could also think of it as filling 2 gallons every minute.  It would take 25 of these.
7 0
2 years ago
1) What is the solution of the given system?
m_a_m_a [10]

Answer:

1  x=-2.5  y = -5.5

2.  x=5  y=1

Step-by-step explanation:

1) What is the solution of the given system?

5x-y=-7

3x-y=-2

Multiply the second equation by -1

-1*(3x-y)=-1(-2)

-3x +y = 2


Now add the first equation to the modified second equation

5x-y=-7

-3x +y = 2

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

2x = -5

Divide each side by 2

2x/2 = -5/2

x = -2.5

Now we need to find y

-3x+y =2

-3(-2.5) +y =2

7.5 +y =2

Subtract 7.5 from each side

7.5 -7.5 +y =2-7.5

y = -5.5


2) what is the solution of the given system?

5x+7y=32

8x+6y=46

Divide the second equation by 2

8x/2+6y/2=46/2

4x+3y =23


Multiply the first equation by 4

4 (5x+7y)=32*4

20x+28y = 128


Now multiply the modified 2nd equation by -5

-5(4x+3y )=-5(23 )

-20x -15y = -115


Lets add the new equations together to eliminate x

20x+28y = 128

-20x -15y = -115

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

      13y = 13

Divide each side by 13

13y/13 =13/13

y=1

Now substitute back in to find x

5x+7y=32

5x +7(1) =32

5x +7 =32

Subtract 7 from each side

5x+7-7 =32-7

5x =25

Divide by 5

5x/5 =25/5

x=5





3 0
3 years ago
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