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3 years ago

A line is parellel to y=3x+2 and intersects the point (2,9). What is the equation of this parellel line

Mathematics

2 answers:

Lapatulllka [165]3 years ago

5 0

Answer: y= -3x

Step-by-step explanation:

Use the slope-intercept form to find the slope.

m = −3

To find an equation that is parallel to y = −3x + 2, the slopes must be equal. Using the slope of the equation, find the parallel line using the point-slope formula.

(0,0)

m = −3

Using the point-slope form

y − y1 = m (x − x1), plug in

m = −3, x1 = 0, and y1 = 0.

y − (0) = (−3) (x−(0))

Solve for y

y = −3x

Daniel [21]3 years ago

3 0

Answer:

y=3x+3

Step-by-step explanation:

(2,9)

x=2

y=9

-Slot these numbers into the equation y=mx+c

-Solve for c

y=3x+c

9=3(2)+c (We have substituted y for 9 and x for 2)

-Solve

9=6+c

(rearrange)

c+6=9

c=9-6

c=3

We have found our y-intercept (c)

Add this value into the original equation (replace the other y-intercept with your new value)

y=3x+3

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3 years ago

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ololo11 [35]

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2 years ago

Read 2 more answers

X+5.5+8=5x-13.5-4x what does x equal

wariber [46]

Answer:

There are no values of x that makes the equation true. or in other words ( no solution)

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3 years ago

Help me please thank you

Elan Coil [88]

Answer:

23/3

Step-by-step explanation:

They already give you the area of one base, which is great! The volume of a rectangular prism is l · w · h, and they've already done h · l for you.

All you do is multiply the two values you see on screen.

4/3 · 23/ 4

= 23/3

(Since there is a 4 both on top and on the bottom, you can cross them out, instead of multiplying everything across)

I hope this helped!

3 0

3 years ago

Five balls are chosen from a bag of eight blue balls, six red balls, and five green balls. How many of these five-ball selection

Harlamova29_29 [7]

Using the combination formula, it is found that six of these five-ball selections contain exactly five red balls.

The order in which the balls are selected is not important(as balls A, B, C, D and E is the same outcome as balls B, A, C, D and E), hence the <em>combination formula</em> is used to solve this question. If the order was important, then the permutation formula would be used.

<h3>What is the combination formula?</h3>

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by:

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this problem, five red balls can be chosen from a set of six, hence the number of selections is the combination of 5 elements from a set of 6, that is calculated from the formula given above:

$C_{6,5} = \frac{6!}{1!5!} = 6$

Hence six of these five-ball selections contain exactly five red balls.

More can be learned about the combination formula at brainly.com/question/25821700

#SPJ1

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2 years ago