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MrRissso [65]
3 years ago
15

Write an equation in whatever form you choose with the given characteristics Parallel to y = 3/5x - 8 and passes through (0, -3)

​
Mathematics
1 answer:
Alona [7]3 years ago
6 0

Answer (this one's written in slope-intercept form):

y= \frac{3}{5}x -3

Step-by-step explanation:

1) Lines that are parallel to each other have the same slope. The line y=\frac{3}{5} x-8 is in slope intercept form, or y = mx + b form, and the number in place of m represents the slope. Knowing this, it looks like \frac{3}{5} is in the place of the m in that equation, so  \frac{3}{5} is the slope - and the slope we need to use for the answer, too.

2) Once you know a point that the line must pass through and a slope, you can write an equation with point-slope form, or y-y_1 = m (x - x_1). m is the slope and x_1 and y_1 are the x and y values of the point it must pass through. So, substitute \frac{3}{5} for m, 0 for x_1, and -3 for y_1. Simplify and isolate y to put it in slope-intercept form:

y-(-3) = \frac{3}{5} (x - 0) \\y + 3 = \frac{3}{5} x - 0 \\y = \frac{3}{5} x - 3

3) Thus, y = \frac{3}{5} x - 3\\ is the answer. It's written in slope-intercept form.

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Which of the following equations represents the perpendicular bisector of WX graphed below?
kotykmax [81]
The coordinates of the 2 given points are W(-5, 2), and X(5, -4).

First, we find the midpoint M using the midpoint formula:

\displaystyle{ M_{WX}= (\frac{x_1+x_2}{2},  \frac{y_1+y_2}{2} )=  (\frac{-5+5}{2},  \frac{2+(-4)}{2} )=(0, -1).

Nex, we find the slope of the line containing M, perpendicular to WX. We know that if m and n are the slopes of 2 parallel lines, then mn=-1.

The slope of WX is \displaystyle{ m= \frac{y_2-y_1}{x_2-x_1}= \frac{2-(-4)}{-5-5}= \frac{6}{-10}= -\frac{3}{5}.

Thus, the slope n of the perpendicular line is \displaystyle{  \frac{5}{3}.

The equation of the line with slope \displaystyle{ n= \frac{5}{3} containing the point M(0, -1) is given by:

\displaystyle{ y-(-1)=\frac{5}{3}(x-0)

\displaystyle{ y+1= \frac{5}{3}x

\displaystyle{ 3y+3=5x

\displaystyle{ 5x-3y-3=0

Answer: 5x-3y-3=0
8 0
3 years ago
Jay has 14 blocks in all he has6 yellow blocks the rest of the blocks are green how many green blocks does jay have
-Dominant- [34]

Answer:

To find this out you would take the amount of yellow bricks minus the amount of bricks in total

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14 blocks - 6 yellow blocks = 8 blocks

from this information we can conclude that jay has 8 green blocks

Step-by-step explanation:

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3 years ago
A 45-pound bag of rice is going to be split between 5 families. How much rice will each family receive?​
Artemon [7]

Answer:

9 pounds per family

Step-by-step explanation:

45/5=9

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Step-by-step explanation:

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The salesman makes a 2% commission on every sale so this can be represented by multiplying 2% by the value of the cars which in this case is x.

= 2% * x

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= 0.02 * x

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