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1 year ago

Find an equation for the line with slope

Mathematics

1 answer:

Genrish500 [490]1 year ago

8 0

An equation of line with slope m = 5 and which goes through the point (8, -9) is y = 5x - 49

In this question, we have been given a slope of the line and a point (8, -9)

We need to find an equation of the line with slope m = 5 and which goes through the point (8, -9)

Let (x1, y1) = (8, -9)

Using the slope-point form of the line,

y - y1 = m(x - x1)

y - (-9) = 5(x - 8)

y + 9= 5x - 40

y = 5x - 40 - 9

y = 5x - 49

Therefore, an equation of line with slope m = 5 and which goes through the point (8, -9) is y = 5x - 49

Learn more about an equation of line here:

brainly.com/question/24524587

#SPJ1

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15 is 25 % of what number?

Murrr4er [49]

Answer:

Step-by-step explanation:

4 0

3 years ago

Quadrilateral RPQS is a rectangle. Label the missing measures.

Taya2010 [7]

Answer:

Part 1) $PR=9\ units$

Part 2) $PQ=12\ units$

Part 3) $PS=15\ units$

part 4) $QR=15\ units$

Part 5) $RT=7.5\ units$

Step-by-step explanation:

we know that

In a rectangle opposite sides are parallel and congruent

The measure of each interior angle is 90 degrees

The diagonals are congruent and bisect each other

step 1

Find the length of side PR

we know that

$PR=QS$ ----> by opposite sides

we have

$QS=9\ units$

therefore

$PR=9\ units$

step 2

Find the length of side PQ

we know that

$PQ=RS$ ----> by opposite sides

we have

$RS=12\ units$

therefore

$PQ=12\ units$

step 3

Find the length of diagonal PS

we know that

$PS=2PT$ ---> the diagonals bisect each other

we have

$PT=7.5\ units$ ---> given problem

therefore

$PS=2(7.5)=15\ units$

step 4

Find the length of diagonal QR

we know that

$QR=PS$ ---> the diagonals are congruent

we have

$PS=15\ units$

therefore

$QR=15\ units$

step 5

Find the length of RT

we know that

$QR=2RT$ ---> the diagonals bisect each other

we have

$QR=15\ units$

substitute

$15=2RT\\RT=7.5\ units$

7 0

3 years ago

Melissa's box has 5 numbered pool balls and David's box has 3 numbered pool balls. Melissa randomly picks one ball from her box.

Softa [21]

Mellisa will win because she has alot of balls

4 0

3 years ago

What is the result if 3x-9 is evaluated when x = -5?

never [62]

Where you see an x in the expression replace it with -5

3(-5) - 9

Using the rules of PEMDAS simplify

-15 - 9

-24

Hope this helped!

~Just a girl in love with Shawn Mendes

7 0

3 years ago

Serial numbers for a product are to be made using 3 letters followed by 3 numbers. If the letters are to be taken from the first

kupik [55]

Answer: 11,232,000

This result is a single number slightly over 11 million

----------------------------------------
----------------------------------------

Work Shown:

Throughout all of this, order does matter (eg: ABC is different from BCA)

Focus on the letters for now
There are 26 letters total.
The first slot has 26 choices
The second slot has 25 choices (since we can't reuse whatever is in slot1)
The third slot has 24 choices

For just the letters only, we have 26*25*24 = 15600 permutations

Since we'll use this number later, let's call this M = 15600
---------------------

Now onto the numbers. There are 10 digits total
For slot 1 we have 10 choices
For slot 2 we have 9 choices
For slot 3 we have 8 choices

For just the numbers only, we have 10*9*8 = 720 permutations

Since we'll use this number later, let's call this N = 720
---------------------

Now multiply M and N
M*N = 15600*720 = 11,232,000

So we can generate 11,232,000 serial numbers

4 0

4 years ago