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3 years ago

Find the equation of the line Which passes through ( -4,-2) and it is parallel to 2y-6x-3 =0

Mathematics

1 answer:

lora16 [44]3 years ago

6 0

Answer:

y = 3x + 10

Step-by-step explanation:

In this question, we have to find an equation of a line that's parallel to the equation given.

First, lets turn the given equation into slope-intercept form:

2y - 6x - 3 = 0

Add 6x and 3 to both sides.

2y = 6x + 3

Divide both sides by 2.

y = 3x + 3/2

We know that the slope of our parallel line has to be 3, now we just need to find what our beginning point, or y-intercept, is.

To find our parallel line, plug in the coordinates to the y = 3x + b and solve.

Solve for b:

-2 = 3(-4) + b

-2 = -12 + b

Add 12 to both sides.

10 = b

Our parallel equation would be: y = 3x + 10

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3 years ago

The volume of a cube can be found using the equation V=S3, where V is the volume and Sis the measure of one side of the cube. Ma

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Answer:

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Step-by-step explanation:

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3 years ago

Could someone help me? Which color is it.

wariber [46]

Answer:

(1,3)

Step-by-step explanation:

y = 2x+1

y = 4x-1

Since both equations are equal to y, we can set them equal to each other

2x+1 = 4x-1

Subtract 2x from each side

2x+1-2x = 4x-2x-1

1 = 2x-1

Add 1 to each side

1+1 = 2x-1+1

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1 =x

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8 0

3 years ago

A bank advertises that it compounds money quarterly and that it will take Double your money in 10 years. what is the interest-ra

S_A_V [24]

The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.

Step-by-step explanation:

The given is,

Compounds money quarterly

Double your money in 10 years

Step:1

Formula to calculate future investment with compounded quarterly,

$A =P(1+\frac{r}{n} )^{nt}$ ...............................(1)

Where, A - Future amount

P - Initial investment\

r - Rate of interest

n - No. of compounding in a year

t - No. of years

Step:2

Let, P = X

A = 2X ( Double your money )

From given, n - 4 ( for compounding quarterly )

t - 10 years

From equation (1)

$2X =X(1+\frac{r}{4} )^{(4)(10)}$

$\frac{2X}{X} =(1+\frac{r}{4} )^{(4)(10)}$

$2 =(1+\frac{r}{4} )^{40}$

Take root $40^{th}$ root on both side,

$\sqrt[40]{2} = (1+\frac{r}{4} )$

$1.017479692 = (\frac{4+r}{4} )$

$(1.017479692)(4) = (r+4)$

$4.06992=(r+4)$

$r = 4.06992 -4$

$r =( 0.06992)(100)$

r = 6.992 %

Result:

The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.

3 0

3 years ago