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2 years ago

Please help within 30ish minutes I’m be g g in g you

Mathematics

1 answer:

ankoles [38]2 years ago

6 0

Answer:

x - 2y = - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given 2x + y = 3 ( subtract 2x from both sides )

y = - 2x + 3 ← in slope- intercept form

with slope m = - 2

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-2}$ = $\frac{1}{2}$ , thus

y = $\frac{1}{2}$ x + c ← is the partial equation

To find c substitute (5, 4) into the partial equation

4 = $\frac{5}{2}$ + c ⇒ c = $\frac{3}{2}$

y = $\frac{1}{2}$ x + $\frac{3}{2}$ ← in slope- intercept form

Multiply through by 2

2y = x + 3 ( subtract 2y from both sides )

0 = x - 2y + 3 ( subtract 3 from both sides )

- 3 = x - 2y , that is

x - 2y = - 3 ← in standard form

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The actual distance between parks is 24 miles On a map these parks are 8 inches apart How many miles are equal to one inch on th

vaieri [72.5K]

Each inch in the map is equivalent to 8 miles.

Explanation:

There is a distance of 24 miles between two parks. This 24 miles is represented by an 8-inch gap in the map.

So 8 inches on that particular map = 24 miles in real life.

To find the distance that an inch on the map represents we must divide both sides of the above equation. Since we need to calculate how much distance 1 inch represents we divide both the sides by 8 so that 8 inches on the map changes into 1 inch.

$\frac{8}{8}$ inches on the map = $\frac{24}{8}$ miles between the two parks in real life,

1 inch on that particular map = 3 miles in real life.

So each inch on the given map is equal to 8 miles in real life.

5 0

3 years ago

The price of a home is $120,000. The bank requires a 10% down payment and two points at the time of closing. The cost of the hom

rusak2 [61]

Answer:

The amount of the loan is $120,000 -10% + 2% = $110,400, assuming the "points" are added to the financed amount.

I find that the monthly payment will be

$848.89. There will be 360 such payments over 30 years, for a total payment amount of $30The amount of the loan is $120,000 -10% + 2% = $110,400, assuming the "points" are added to the financed amount.

R = Pi/[1 - (1+i)^(-n)] where

P = 110,400

R = the monthly payment

i = 8.5/[100(12)] = .007083...

n = 30(12) = 360 yielding

R = $848.88 per month.

Therefore, the total interest paid is 360(848.88) - 100,400.

5,600. Subtract the original principle (110,400) from that to get the interest paid.

hopes this helps :]

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2 years ago

a rolling pin is shaped like a cylinder with a diameter of 2 inches and a height of 10 inches . how many square inches of space

Liula [17]

Answer:

62.8 square inches

Step-by-step explanation:

we know that

To find out how many square inches of space the rolling pin comes in contact with after one complete roll, determine the lateral area of the rolling pin

The lateral area of a cylinder is given by the formula

$LA=\pi Dh$