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3 years ago

Explain how you can write an equation for a line with slope 1/2 that crosses the y-axis at the point (0,-1).

Mathematics

1 answer:

andre [41]3 years ago

8 0

Answer:

y= 1/2x-1

Step-by-step explanation:

The equation of a line is y= mx+c

m represents the slope of the line

c represents the y-intercept

So we plug in our information into the equation.

The slope is 1/2 so y= 1/2x + c

The line crosses at (0,-1) which makes -1 the y-intercept as the line crosses at this point on the y-axis.

Therefore, y= 1/2x-1

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One side of a rectangle is 10 feet shorter than twice another side. Find the length of the shorter side if we also know the peri

seropon [69]

Answer:

6 feet

Step-by-step explanation:

Let x represent the length of "another side." Then "one side" is ...

2x -10 . . . . . . 10 feet shorter than twice another side

The sum of these two side lengths is half the perimeter, so is ...

x + (2x -10) = 14 . . . . . two sides are half the perimeter

3x = 24 . . . . . . . . . . . . add 10, collect terms

x = 8 . . . . . . . . . . . . . . .divide by the coefficient of x

(2x -10) = 2·8 -10 = 6 . . . . find "one side"

We have found "one side" to be 6 feet long, and "another side" to be 8 feet long. The shorter side is 6 feet.

8 0

3 years ago

How much is 3x4x5 plz help

Vikentia [17]

3×4×5 is 60 I think it help u

3 0

3 years ago

Read 2 more answers

Helppp meee plssss

Volgvan

Answer:

Cost of fish = Php. 60, amount of fish = x kg
Cost of chicken = Php. 120, amount of chicken = y kg
Budget = at most Php. 1200

a) Required inequality (not a system as only one condition is given):

60x + 120y ≤ 1200

Simplified:

x + 2y ≤ 20

The graph is attached

b) Verify ordered pair (10, 7):

10 + 2*7 ≤ 20
24 ≤ 20

False inequality, so this pair is out of solution set

8 0

3 years ago

Jenny has saved $600 from her summer job. During the school year, she withdraws $20 from her account every week for her daily ex

mel-nik [20]

Answer:

The answer is 14 weeks

6 0

3 years ago

Jennifer began an exercise program in which she ran 4 blocks the first day and then two blocks more than the previous day for ea

Andrews [41]

Answer:

84 blocks.

Step-by-step explanation:

If you are adding 2 to each day (which already has 4) in a 2 week period (14 days) than you would have to time 2(14) and 4(14) and add them. Thus would make the answer 84 blocks.

5 0

3 years ago