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Nadya [2.5K]
2 years ago
11

5. Which graph shows a line with the same y-intercept as the graph of 10x-16y=-40?

Mathematics
1 answer:
Aleksandr-060686 [28]2 years ago
8 0

Answer: B

Step-by-step explanation:

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Write the equation of the line in slope-intercept form.
Ymorist [56]

Answer:

y = 1/40x + 20

Step-by-step explanation:

Slope-intercept equation format:

y = mx + b

m = slope/ gradient/ constant of variation/ rate of change

b = y-intercept

To find the slope, use the formula:

\frac{y_2-y_1}{x_2-x_1}

Find  two random points:

1 - (0.5, 40) , 2 - (1, 60)

Plug in:

\frac{60-40}{1-0.5}

Solve:

\frac{20}{0.5}

Divide:

\frac{1}{40}

The y-intercept is when the x-coordinate is equal to 0.

The y-intercept is always the beginning.

So observing the graph, the first point is (0, 20)

The x-coordinate is 0.

Y intercept = 20.

Plug in both slope and y-intercept:

y = 1/40x + 20

8 0
1 year ago
Elevator 1 in a building moved from ground position to a final position of +13 feet. Elevator 2 in the same building moved from
Marina CMI [18]

The correct answer I believe you are looking for is D. Elevator 1 is 13 feet above ground level, and Elevator 2 is 10 feet below ground level.

<u>Explaination:</u>

This is because if you start at (0, 0) Elevator one, will go up 13 on the y axis. Putting it at 13 feet above ground level. If you start Elevator 2 at ground level on (0, 0) and go down 10 it will make it -10 AKA 10 feet below ground level.


I hope this helps! :)

8 0
3 years ago
Read 2 more answers
the length of a rectangular sign is 5 times its width. If the sign's perimeter is 24inches, what is the signs area
anastassius [24]

Answer:

20 square inches

Step-by-step explanation:

Set width of sign to x.

Set length of sign to y.

5x=y

2(x+y)=24 inches

2(x+5x)=24 inches

12x=24 inches

width = 2 inches

length = 10 inches

Area = 20 square inches

PLEASE GIVE BRAINLIEST

6 0
2 years ago
Why equation is represented by the equation on the graph
Nina [5.8K]

Answer: Option D

Step-by-step explanation:

The equation of the line, by definition, has the following form:

y=mx+b

Where m is the slope and b  is the y-intercept

As you can see in the graph, the line intercept the y-axis at 2, therefore b=2.

Now, to find the slope, choose any point of the line and solve for m:

Point (1,1)

1=m(1)+2

-1=m

Then, the equation is:

y=-x+2

4 0
3 years ago
Read 2 more answers
I wish to have $10,000 at the end of 8 yers in a bank offering a simple interest rate of 7.5% per year. How much should I deposi
kolezko [41]

Answer:

You have to invest  $6,250

Step-by-step explanation:

very simple applying the simple interest formula which is

A = P (1 + rt)

Given data

A, final amount =  $10,000

P, initial principal balance=  ?

r, annual interest rate = 7.5%

t, time (in years)= 8 years

we can substitute our given data to find the principal needed.

10000= P(1+0.075*8)\\\10000= P(1.6)\\\

Divide both sides by 1.6 we have

P= \frac{10000}{1.6} \\\P= 6250

P= $6,250

3 0
3 years ago
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