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leonid [27]
3 years ago
10

What is the equation of the line that is perpendicular to the line through (1,-4) and (-2,2) and passes through the x-intercept

of that line?
Mathematics
1 answer:
ss7ja [257]3 years ago
8 0

Answer:

y=-\frac{1}{2}x+\frac{3}{2}

Step-by-step explanation:

First, calculate the slope of the line that is perpendicular to the equation of line we are asked to find

m=(y2-y1)/(x2-x1)

  =(2-(-4))/(-2-1)

  =6/-3

  =-2

in this equation the slope is 2, and to find the first equation, use y=mx+b

use the point (1, -4) to find b

-4=(2)(1)+b

-4=2+b

b=-6

the first equation of the line is y=2x-6

to find the x intercept of that line substitute 0 for y

0=2x-6

2x=6

x=3

the slope of a line perpendicular to this would be the opposite reciprocal of the slope which would be equal to -1/2

for the second equation of the line to pass thorugh the x-intercept of the first line, it must pass through (3, 0), so substitute and solve for b

y=mx+b

0=(-1/2)(3)+b

b=3/2

thus the equation of the line that is perpendicular to the line through (1,-4) and (-2, 2) and passes through the x intercept of that line is y=-\frac{1}{2}x+3/2

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Difference of two whole numbers is 33 and its ratio is 2:5 then find those<br> numbers.
S_A_V [24]

Answer:

Step-by-step explanation:

Let the two whole numbers be 5x and 2x then

by the question

5x - 2x = 33

3x = 33

x = 33/3

x = 11

Therefore the numbers are

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hope it helps:)

8 0
2 years ago
The length of a rectangular pool is 20 feet and the width is 15 feet. The
Ray Of Light [21]

Answer:

$255

Step-by-step explanation:

As, the area of the pool bottom = length x breath

= 20 x 15 = 300 square foot

So for painting

Per square foot = $0.85

So for 300 square foot = $0.85 x 300

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5 0
3 years ago
Ebi, Jose, Derell, and Asami measured their heights. Ebi's height was 2.5 cm greater than Jose's height. Jose's height was 3.1 c
irga5000 [103]
Start with assigning each person with a variable to represent their height

Ebi: e
Jose: j
Derell: d
Asami: a

Ebi'd height was 2.5 cm greater than Jose's height

j + 2.5 = e

Jose's height was 3.1 cm greater than Derell's

d + 3.1 = j

Derell's height is 0.4 cm less than Asami's height

a - 0.4 = d

Ebi is 162.5 cm tall

e = 162.5

So, plug in 162.5 into any of the above equations were there is a variable of e

j + 2.5 = e

j + 2.5 = 162.5

Subtract 2.5 from both sides of the equation

j = 160 cm

Jose's height is 160 cm

Now, plug in 160 into any of the above equations where there is a j

d + 3.1 = j

d + 3.1 = 160

Subtract 3.1 from both sides of the equation 

d = 156.9 cm

Derell's height 156.9 cm

so, plug in 156.9 into any of the above equations where there is a d

a - 0.4 = d

a - 0.4 = 156.9

Add 0.4 on both sides of the equation

a = 157.3 cm

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7 0
3 years ago
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Find the exponential generating function for the number of alphanumeric strings of length n n formed from the 26 26 uppercase le
lana66690 [7]

Answer:

the answer is contained in the attachment

Step-by-step explanation:

for complete explanation kindly check the attachment.

5 0
3 years ago
Please help me in this question.Tell me if it is good. And if it is not good then do it for me please.
Orlov [11]

Answer:

Y = 170, Z = 64.

Step-by-step explanation:

Since y is the external angle to x, which you got right, it is in fact, 180-10, = 170 degrees. And since z is the external to our unknown angle, that means it is equal to the sum of the other two angles in the triangle. That means z is 54 + 10, which is 64.

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3 years ago
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