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DENIUS [597]
3 years ago
7

find the equation of the line passes through the point (-1,2) and making an angle of 45° with the line x-y+1=0​

Mathematics
1 answer:
Vlad1618 [11]3 years ago
8 0

Answer:

Step-by-step explanation:

line given is x-y+1= 0

you can rewrite it in slope intercept y=mx+b where m is the slope, and b is the y-intercept where the line meets the y-axis

x-y+1 =0 subtract x and 1 from both sides of the equation

-y = -x-1 multiply both sides by -1

y = x+1 so the slope of this line is 1 and the y-intercept is 1

If you draw this line you can see that there are actually 2 lines that form 45° angles with y=x+1 and pass through (-1, 2), one is vertical x= -1 and one horizontal y =2

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Dave loves underwater diving. His house boat is 250 feet above sea level. He jumped from that level. He went 600 feet below sea
nikklg [1K]

Answer:

<h3>600 feet</h3>

Step-by-step explanation:

<u>I would just like to explain how this works with a visual (please enjoy my drawing <3 haha)</u>

With my drawing we know that the bird is 150 feet above sea level, and the fish is 100 feet below sea level.

From the bird to the water it is 150 feet, from water to fish is 100 feet

<u>From</u><u> the </u><u>bird</u><u> to the</u><u> fish</u><u> it is </u><u>150 feet + 100 feet</u>

<h3>This is equal to 250 feet, </h3>

so we know from the bird (150 feet above sea level) to the fish(100 feet below sea level).

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3 years ago
write the equation of the line perpendicular to y= 5/2x+3 that passes through the point (-7,9). Type an answer using slope-inter
omeli [17]

Answer:

 5y = -2x + 31

Step-by-step explanation:

Given equation:

      y = \frac{5}{2} x + 3

Coordinate  = (-7,9)

Unknown:

Equation of the line perpendicular  = ?

Solution:

The slope - intercept format of a line is given as;

      y = mx + c

where y and x are the coordinates

           m is the slope

           c is the y-intercept

y = \frac{5}{2} x + 3

 From the given equation; slope is \frac{5}{2}

       

A line perpendicular will have a slope that is negative and the inverse of this;

      slope of perpendicular line  = -\frac{2}{5}

Since y= 9 and x = -7;

  So;

            9 = \frac{-2}{5}  x (-7) + C

            9 = \frac{14}{5} + C

           C  = 9 - \frac{14}{5}   = \frac{31}{5}

Now,

       y  =  -\frac{2}{5}x +  \frac{31}{5}

mulitply through by 5;

     5y = -2x + 31

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3 years ago
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