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Pavlova-9 [17]
1 year 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]1 year 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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A Jerome's rock band recorded 13 songs during an afternoon recording session. Each song took 1/6 of a side of a tape to record.
Lapatulllka [165]
Answer:
number of tape sides = 2.1667 tape sides

Explanation:
We know that each song took 1/6 of a side of tape to be recorded.
To know how many tape sides were used to record 13 songs, all we have to do is cross multiplication as follows:
1 song ..................> 1/6 of a tape side
13 songs ..............> ?? tape sides

Number of tape sides = [(13) * (1/6)] / 1
number of tape sides = 2.1667 tape sides

Hope this helps :)
8 0
3 years ago
A box has dimensions of 19 inches long, 1.7 feet wide, and 6 inches high. What is the volume of the box? The formula for the vol
sukhopar [10]
The volume of the cube would be 193.8. Solution

Volume = L x W x H
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5 0
3 years ago
1∕2x – 2y + 2z –3z + 3∕4x – y
kogti [31]

Answer:

x-3y-z

Step-by-step explanation:

separate common terms and add them

1/2x+3/4x=1x

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6 0
3 years ago
Tan(x)=2
nydimaria [60]
<span>Tan(x)=2
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then for tan(x)=2 ; x must be superior to 45 
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8 0
3 years ago
An object is propelled upward from the top of a 300 foot building. The path that the object takes as it falls to the ground can
serg [7]

Answer:

As per the statement:

The path that the object takes as it falls to the ground can be modeled by:

h =-16t^2 + 80t + 300

where

h is the height of the objects and

t is the time (in seconds)

At t = 0 , h = 300 ft

When the objects hit the ground, h = 0

then;

-16t^2+80t+300=0

For a quadratic equation: ax^2+bx+c=0         ......[1]

the solution for the equation is given by:

x = \frac{-b\pm \sqrt{b^2-4ac}}{2a}

On comparing the given equation with [1] we have;  

a = -16 ,b = 80 and c = 300

then;

t= \frac{-80\pm \sqrt{(80)^2-4(-16)(300)}}{2(-16)}

t= \frac{-80\pm \sqrt{6400+19200}}{-32}

t= \frac{-80\pm \sqrt{25600}}{-32}  

Simplify:

t = -\frac{5}{2} = -2.5 sec and t = \frac{15}{2} = 7.5 sec

Time can't be in negative;

therefore, the time it took the object to hit the ground is 7.5 sec

8 0
3 years ago
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