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alexandr402 [8]
3 years ago
14

Find the equation of the line that passes through (4,4) and is parallel to y=2x+4. Leave your answer in the form​

Mathematics
2 answers:
Yanka [14]3 years ago
7 0

Answer:

y = 2x - 4

Step-by-step explanation:

Explanation is in the form.

Bess [88]3 years ago
4 0

Answer:

y=2x-4

Step-by-step explanation:

If a line is parallel to another line, the only thing that's different in the equation is the y-intercept. Therefore we can solve for the y-intercept using the point (4,4)...

Note that the slope-intercept equation is y=mx+b where b is the y-intercept and m is the slope. x and y are the x and y coordinate pairs.

y=2x+b

4=2(4)+b

4=8+b

b=-4

Therefore the equation of the line that is parallel to y=2x+4 and passes through (4,4) is...

y=2x-4

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Woman salary is $2,800 in 1988 and was 15% more in 1989. If she paid a tax of 12.5% of her salary, how much tax did she pay in 1
iris [78.8K]

So first step is to find out how much the woman's salary is in 1989. We can do this by multiplying 0.15 (15% in decimal form) and $2,800 together, then adding that product by $2,800.

2800*0.15= \$ 420\\ 2800+420= \$ 3220

The woman makes $3,220 in 1989.

To find how much tax she pays in 1989, just multiply 0.125 (12.5% in decimal form) and 3220 together:

3220*0.125= \$ 402.50

In short, the woman paid $402.50 in tax in 1989.

5 0
4 years ago
A cash register contains only five dollar and ten dollar bills. It contains twice as many five's as ten's and the total amount o
Effectus [21]

Answer:

31

Step-by-step explanation:

Let number of ten dollar bills be x .

So, number of five dollar bills = 2 x

Total amount of money in the cash register = 620 dollars

Amount of money in total cash as a result of  five dollar bills = 2 x × 5 = 10 x  dollars

Amount of money in total cash as a result of  ten dollar bills =  x × 10 = 10 x dollars

According to question ,

Total amount of money in the cash register = Amount of money in total cash as a result of  five dollar bills +  Amount of money in total cash as a result of  ten dollar bills

⇒ 620 = 10 x + 10 x

⇒ 620 = 20 x

⇒ x = \frac{620}{20} = 31

So, number of ten dollar bills = 31

3 0
3 years ago
Given A is between Y and Z and YA = 2x, AZ = 16x, and YZ = 4x+56, find AZ.<br> Plsss help
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Answer:

64

Step-by-step explanation:

4 0
3 years ago
Please help 22 points
disa [49]

Answer:

8/15

Step-by-step explanation:

4/5 x 2/3 = 8/15

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4/5 x 2/3 = 0.5333

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