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3 years ago

Give the equation of the line goinng through (4, 6) and parallel to the line 2y-6x=4

Mathematics

2 answers:

alexgriva [62]3 years ago

4 0

Answer:

y = 3x-6

Step-by-step explanation:

First we need to find the slope of the line

2y-6x=4

Solve for y

Add 6x to each side

2y-6x+6x=4+6x

2y = 6x+4

Divide each side by 2

2y/2 =6x/2 +4/2

y = 3x +2

The slope is 3

We want a line parallel, so it will have the same slope

We have a slope and a point

y = 3m+b

Substitute in the point

6 = 3(4)+b

6 =12+b

Subtract 12 from each side

6-12 = 12-12+b

-6 =b

y = 3x-6

chubhunter [2.5K]3 years ago

3 0

Answer:

y = 3x - 6

Step-by-step explanation:

2y = 6x + 4

y = 3x + 2

Slope = 3

y = 3x + c

6 = 3(4) + c

c = 6 - 12

c = -6

y = 3x - 6

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What ks the % of 4 = 2

Fittoniya [83]

Answer:

$50\%$

Step-by-step explanation:

Let x be the percentage then...

$x\%(4)=2$

Start by dividing both sides by 4:

$x\%=\frac{2}{4}$

Simplify the fraction:

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Then, multiply the fraction by 50/50, so we can get a number over 100 (that number would be the percentage). Note we can only multiply it by 50/50 since it is essentially multiplying the fraction by 1.

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frutty [35]

Answer:

Step-by-step explanation:

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Select two statements that are true about the equation y+4=-8(x-2)

bezimeni [28]

Answer:

Step-by-step explanation:

y + 4 = -8(x - 2)

I dont know the statements that u have but maybe I can guess one...or two

slope = -8

points used were : (2,-4)

y + 4 = -8(x - 2)

y + 4 = -8x + 16

y = -8x + 16 - 4

y = -8x + 12 ............slope intercept form

8x + y = 12 .......standard form

x intercept = (3/2,0)

y intercept = (0,12)

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There are 1,000 residents of a town in Year 1. That number increases by 1% each year.

S_A_V [24]

Answer:

Part A) $y=1,000(1.01^{x})$

Part B) $1,105\ persons$

Step-by-step explanation:

Part A) What is the explicit rule for the number of residents

we know that

In this problem we have a exponential function of the form

$y=a(b^{x})$

where

a is the initial value

b is the base

r is the rate

(1+r)=b

Let

y ----> the number of residents

x is the time in years

we have

a=1,000 residents

r=1%=0.01

b=(1+0.01)=1.01

substitute

$y=1,000(1.01^{x})$

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For x=10 years

substitute in the equation

$y=1,000(1.01^{10})$

$y=1,105\ persons$

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Please help me multiple choice at top

vlabodo [156]

Answer:

<em>A translation of 4 units up and 4 units to the left</em> is the correct answer.

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