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3 years ago

Which equation represents a line that is parallel to y= -4x+3 and passes through the point (-3,2)

Mathematics

1 answer:

Katyanochek1 [597]3 years ago

5 0

Answer:

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

From the question

y = - 4x + 3

Comparing with the general equation above

Slope / m = - 4

Since the lines are parallel their slope are also the same

Slope of parallel line = (-3 , 2) and slope

- 4 is

We have the final answer as

Hope this helps you

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2.) Use the Slope Intercept Form of a line to find the equation of the line from point C to point D.

mezya [45]

First we need slope

C=(0,0)
D(7,12)

$\\ \sf\longmapsto m=\dfrac{12-0}{7-0}$

$\\ \sf\longmapsto m=\dfrac{12}{7}$

Put D co-ordinates on y=mx+b

$\\ \sf\longmapsto 12=\dfrac{12}{7}(7)+b$

$\\ \sf\longmapsto 12=12+b$

$\\ \sf\longmapsto b=12-12$

$\\ \sf\longmapsto b=0$

Now

slope intercept form.

$\\ \sf\longmapsto y=\dfrac{12}{7}x$

As b=0

8 0

2 years ago

Read 2 more answers

A diver starts at the wreck of the Varanger and then ascends 8 feet every 5 minutes. What is the diver’s depth after one hour?

Leokris [45]

Answer:

Step-by-step explanation:

60 minutes divided by 5 times 8

96 feet

6 0

3 years ago

An employer uses the linear regression equation mc024-1.jpg to predict the weekly salary, y, of an employee who sells x dollars

jolli1 [7]

Answer:

Alex earned about $60 more than Joaquin did.

Step-by-step explanation:

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3 years ago

Solve the inequality 3(y+5)>21

Kaylis [27]

Answer:

y > 2

Step-by-step explanation:

1) $3(y+5)>21$

Divide both sides by <em>3</em>.

2) $y+5>7$

Move the constant to the right side and change it's sign.

3) $y>7-5$

Subtract the numbers.

4) $y>2$

8 0

2 years ago

A coin is tossed 5 times; find the probability of getting at least 1 tail. Would you consider this event likely to happen?

grin007 [14]

Answer: 0.96875

Step-by-step explanation:

Probability of obtaining at least one tail on a toss of coin 5 times ;

P(success) in a coin toss = 1/2 = 0.5

Using the binomial distribution formula :

P(x) = nCx * p^x * (1 - p)^(n-x)

P(at least one tail) = 1 - p(0 tails)

P( 0 tails) = 5C0 * 0.5^0 * 0.5^(5-0)

= 1 * 1 * 0.03125

= 0.03125

P(at leat 1 tail) = 1 - 0.03125

P(atleast 1 tail) = 0.96875

6 0

3 years ago