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2 years ago

please help: What is the equation of a line parallel to -5x + y= 2 that passes through the point with coordinates (-2, 1)?

Mathematics

1 answer:

weqwewe [10]2 years ago

3 0

Answer:

y = 5x + 11 or -5x + y = 11

Step-by-step explanation:

Given line:

-5x + y = 2

In slope-intercept form:

y = 5x + 2

The parallel line has the same slope and will look as:

y = 5x + b

This line passes through the point (-2, 1), substitute:

1 = 5*(-2) + b
b = 1 + 10
b = 11

So the line is:

y = 5x + 11

-5x + y = 11

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John invests $200 at 4.5% compounded annually. About how long will it take for John’s investment to double in value?

Gekata [30.6K]

Answer:

The number of years needed is 15.75 years.

Step-by-step explanation:

The investment amount (present value) = $200

Interest rate =4.5%

Double of investment = $400

Now we have to find the time or number of years in which the investment amount will be doubled. So, just use the below formula to find the number of years.

Future value = present value ×(1+interest rate)^n

400 = 200×(1+4.5%)^n

N = 15.75 years

The number of years required to double the amount is 15.75 years.

8 0

3 years ago

3-2+x+ 436 123/157 =

sweet [91]

3 - 2 + x + 436 123/157 =

1 + x + 436 123/157 =

437 123/157 + x =

68732/157 + x

6 0

2 years ago

Read 2 more answers

The expression 2(l + w) is used to calculate the perimeter of a rectangle, where l is length and w is width. If the length is 2/

xeze [42]

Answer:

P = 10/7 units

Step-by-step explanation:

Answer:

w ≥ 6

l ≥ 11

Step-by-step explanation:

The perimeter of a rectangle is equal to P = 2(l+w) where l=length and w=width. Here the length is 2/7. This means the width is 3/7. Substitute l=2/7 and w=3/7 into the perimeter equation. Then solve for P.

$P = 2(\frac{2}{7} +\frac{3}{7} )\\\\P = 2(\frac{5}{7})\\\\P = \frac{10}{7}$