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Pavlova-9 [17]
2 years ago
6

On a coordinate plane, a line is drawn from point a to point b. point a is at (negative 8, negative 13) and point b is at (4, 11

). what are the x- and y- coordinates of point p on the directed line segment from a to b such that p is one-third the length of the line segment from a to b? x = (startfraction m over m n endfraction) (x 2 minus x 1) x 1 y = (startfraction m over m n endfraction) (y 2 minus y 1) y 1 (1, 5) (0, 3) (–4, –5) (–5, –7)
Mathematics
1 answer:
vladimir2022 [97]2 years ago
7 0

The coordinate for point P which is one-third the length of the line segment from a to b is (-4, -5)

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Point a is at (-8, -13) and point b is at (4, 11). Hence the coordinates for point p(x, y) which is one-third the length of the line segment from a to b is:

x=\frac{1}{3}(4-(-8))+(-8)=-4\\ \\y=\frac{1}{3}(11-(-13))+(-13)=-5

The coordinate for point P which is one-third the length of the line segment from a to b is (-4, -5)

Find out more on equation at: brainly.com/question/2972832

#SPJ4

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olga nikolaevna [1]

Answer: The number of books bought were 9 paperbacks and 3 hardbacks

Step-by-step explanation: We shall start by assigning letters to the unknown variables, hence let the hardback be called h, while the paperback shall be called p.

If Marla bought 12 books at the garage sale, that means she bought

h + p  = 12 ------(1)

Then she paid 0.5 dollars for paperback and 0.75 dollars for hardback and the total spent was 6.75 dollars for all of them, then we can express these as follows;

0.5p + 0.75h = 6.75 ------(2)

We now have a pair of simultaneous equations which are

h + p = 12 ------(1)

0.5p + 0.75h = 6.75 ------(2)

From equation (1), make h the subject of the equation,

h = 12- p

Substitute for h into equation (2)

0.5p + 0.75(12 - p) = 6.75

0.5p + 9 - 0.75p = 6.75

0.5p - 0.75p = 6.75 - 9

-0.25p = -2.25

Divide both sides of the equation by -0.25

p = 9

Now, substitute for p into equation (1)

h + p = 12

h + 9 = 12

Subtract 9 from both sides of the equation

h = 3

Therefore Marla bought 9 paperbacks and 3 hardbacks

6 0
3 years ago
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Which graph represents y= ^3 square root of x +2?
yaroslaw [1]

Answer:

<h2>Hi there !</h2>

\huge\orange\star\:\huge\begin{gathered}{\underline{\boxed{\mathcal{\pink{Answer}}}}}\end{gathered}

y =  \sqrt[2]{x}+2 \: will \: pass \: through \: (0 \:, 2) \: and \: ( - 8 \:, 0)

Step-by-step explanation:

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6 0
2 years ago
Solve the equation for y: x + 2y = 7​
Anuta_ua [19.1K]

Answer:

y = (7 - x) / 2

Step-by-step explanation:

You isolate the y by subtracting the x

2y = 7 - x

and then you divide by two to get the answer to y

(7 - x) / 2

5 0
3 years ago
What are the next three terms of each sequence?5,7.5
leva [86]

Answer:

The next three terms are 10, 12.5 and 15

Step-by-step explanation:

I. As you can see 5 and 7.5 is came from 5, 5 + 2.5

So given y = 5 + 2.5( x - 1 ) when y is output, x is term

II. Perform x = 3, 4, 5

        So y = 5 + 2.5( 3 - 1 )

                = 5 + 5

          3rd = 10

             y = 5 + 2.5( 4 - 1 )

                = 5 + 7.5

            4th = 12.5

             y = 5 + 2.5 (5 - 1)

                = 5 + 10

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Leave comment below.

3 0
3 years ago
ILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST (and correctly ofc)
torisob [31]

Answer:

y = 3 (4)^x

Step-by-step explanation:

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This equation is in the form

y = ab^x  where a is the initial amount and b is the amount we multiply by

y = 3 (4)^x

4 0
3 years ago
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