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1 year ago

Put y-x=-8 of a line into slope-intercept form, simplifying all fractions.

Mathematics

1 answer:

grigory [225]1 year ago

4 0

Answer: $y= x-8$

Step-by-step explanation:

Slope intercept form has a general formula of $y=mx +b$
m represents the slope of the line
b represents the value of the lines y-intercept

the equation must be rearranged into the general formula by isolating for 'y'

$y-x=-8$

to remove the x from the left side of the equation the opposite operation must be done to both sides

$y-x+x=-8+x$

the negative and positive x cancel out on the left side, leaving us with the equation with y by itself
now you can rearrange to put the equation into $y=mx+b$

Final Answer: $y=x-8$

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Triangle ABC is the pre-image and triangle DFE is the image.

anzhelika [568]

Answer:

Scale factor = ½

Step-by-step explanation:

The original image is the preimage = ∆ACB

The new image is the image = ∆DFE

The scale of factor of dilation = image/preimage = DF/AC

DF = 6 cm (given)

AC = 12 cm (given)

Plug in the values into the equation to find the scale factor of dilation:

Scale factor = 6/12

Scale factor = ½

6 0

3 years ago

Which fractions are equivalent to 10/12? Select each correct answer. 2/3 5/6 12/24 30/36 50/60 60/84

Yuri [45]

Answer:

[See Below]

Step-by-step explanation:

✦ Turn into decimals:

$\frac{10}{12}=0.83$

$\frac{2}{3} =0.67$

$\frac{5}{6} =0.83$

$\frac{12}{24} =0.5$

$\frac{30}{36} =0.83$

$\frac{50}{60} =0.83$

$\frac{60}{84} =0.71$

So $\frac{10}{12}$ ≈ $\frac{5}{6},\frac{30}{36},and,\frac{50}{60}$ .

~<em>Hope this helps Mate. If you need anything feel free to message me. </em>

4 0

3 years ago

Estimate a 15% tip on a dinner bill of $49.35 by first rounding the bill amount to the nearest ten dollars.

inysia [295]

9514 1404 393

Answer:

$7.50

Step-by-step explanation:

Rounded to the nearest $10, the $49.35 bill becomes $50.

We can find 10% of that amount by moving the decimal point to the left. 10% of $50 is $5.00.

Then 5% of $50 is half of 10%, so is $5/2 = $2.50.

The estimated tip of 15% is the sum of 10% and 5% of the bill, so is ...

15%($50) = 10%($50) +5%($50) = $5.00 +2.50 = $7.50

The estimated 15% tip is $7.50.

3 0

3 years ago

Angelica painted 1/20 of her bedroom walls in 1/2 an hour. How long will it take Angelica to paint her whole bedroom?

julsineya [31]

Angelica would have painted the bedroom in 20 hours if every hour she painted 1/20. But she doesn't paint 1/20 of a room per hour but rather 30 minutes. That means it will take her 10 hours to paint the whole room.

Hope this helps.

4 0

3 years ago

Read 2 more answers

If Rs 42,000 is left after paying an income tax at the rate of 30%.Find the income

Naddika [18.5K]

Answer:

Total income is 60,000

Step-by-step explanation:

I. if paid rate is 30%, that's mean 42,000 is 70%

II. Perform ratio 70/100 = 42,000/x

70*x = 100 * 42,000

70x = 4,200,000

x = 60,000

III. If you perform 30/100 = x/60,000 will be 42,000

Sorry for late.

5 0

3 years ago