PLEASE HELP

Mathematics

1 answer:

nekit [7.7K]3 years ago

4 0

Answer:

y= -(1/3)x -r

Step-by-step explanation:

a perpendicular line has the slope of the line that it's perpendicular but its the negative reciprocal of it. So for ex: line 1 = 2x then the line perpendicular to it is -1/2x.

In this case, the slope is 3x. The line perpendicular to it therefore, should be -1/3x.

The problem states the line has the same y-intercept so it has to still be -r.

So the equation of the line perpendicular to y=3x-r with the same y-intercept is y=-(1/3)x -r

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A rectangle has vertices at these coordinates. (5, −3), (5, −8),(8, −3) What are the coordinates of the fourth vertex of the rec

Katen [24]

Answer:

Coordinate of 4th vertex of the rectangle is ( 8 , -8 ).

Step-by-step explanation:

Given Vertices of Rectangle are ( 5 , -3 ) , ( 5 , -8 ) , ( 8 , -3 )

To find: Coordinate of Fourth Vertex of the rectangle.

First, Plot all given three points on the graph.

Graph is attached.

We know that Opposite sides of the rectangle are equal and parallel.

Also All angles of rectangles are right angle.

So to satisfy these properties of rectangle.

4th coordinate must be on line x = 8 and y = -8.

⇒ Fourth coordinate = ( 8 , -8 )

Therefore, Coordinate of 4th vertex of the rectangle is ( 8 , -8 ).

6 0

4 years ago

A line contains points (4,2) and (0,-1). Wha is the equation of the line

MAVERICK [17]

The equation to find the slope is
$m = \frac{y2 - y1}{x2 - x1} \\ m = \frac{ - 1 - 2}{0 - 4} \\ m = \frac{ - 3}{ - 4} \: or \: \frac{3}{4}$
now you have to use the point-slope formula
$y - y1 = m(x - x1) \\ y - ( - 1) = \frac{3}{4} (x - 0) \\ y + 1 = \frac{3}{4} x \\ y = \frac{3}{4} x - 1$
the equation of the line is
$y = \frac{3}{4} x - 1$

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4 years ago

Each package contains 4 identical bags of rice and a 7 pound bag of beans

Taya2010 [7]

Whats the question? I cant answer the question if there is no question.

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zepelin [54]

Answer:

I think it's 2.56

you convert the 8 percent to a decimal and then you times it to 3.20