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Leto [7]
4 years ago
8

Rewrite without absolute value y=|x−5|+|x+5|, if x<−5 thank you

Mathematics
1 answer:
ioda4 years ago
8 0

y = | x -5| + |x+5|

as range of x is

-5 < x < 5

we can see if we put x = 0 we get

y = 10

we put any value of x in given range first term is always negative without absolute. and 2nd term is always positive

so

y = | x -5| + |x+5|

= -( x-5) + x + 5

= - x + 5 + x + 5

= 10

so

y = 10 where -5 < x < 5

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Write an equation for a line perpendicular to y = 5x - 4 and passing through the point (15,-1)
VLD [36.1K]

Answer:

y = -1/5 x + 2

Step-by-step explanation:

y = 5x - 4

m = 5

Slope of perpendicular = -1/5

Equation of perpendicular:

y = mx + b

y = -1/5 x + b

Use point (15, -1) for x and y, and solve for b.

-1 = -1/5(15) + b

-1 = -3 + b

b = 2

Equation of perpendicular:

y = -1/5 x + 2

4 0
2 years ago
If AD is the altitude of BC, what is the slope of AD?​
koban [17]

Answer:

D

Step-by-step explanation:

First, find the slope of BC :

⇒ m (BC) = -1 - 5 / -3 - 5

⇒ m (BC) = -6/-8

⇒ m (BC) = <u>3/4</u>

Now, since AD is the altitude of BC, we can say the altitude is perpendicular to BC.

Hence, the slope of a perpendicular line is equal to the negative reciprocal of the original line.

⇒ m (AD) = - (1/m(BC))

⇒ m (AD) = - (1/(3/4))

⇒ m (AD) = -4/3

4 0
2 years ago
The average height of 8 adults is 1.8 m. What is the sum of their heights? How do I work this out without a calculator?
Katen [24]
Well, the average of a sum of number is found by adding each given number and dividing that number by the amount of given numbers. 
Example: 5+4+3+8=20 
                and 20/4 = 5, the average of the numbers
Multiply 1.8 by 8.0 using this format:

1.8
x8.0
--------


Hope this helped
5 0
3 years ago
Consider the right rectangular prismWhat is the volume of the right rectangular prism, in cubic inches?
lord [1]

Answer:

430.5

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Can someone pls tell me what 3/7 times negative 9/5
Alexxandr [17]

Answer:

-27/35, and the decimal answer -0.77142857142

Step-by-step explanation:

multiply the fractions- 3 x 9 equals 27, 7 x 5 equals 35. The answer is negative.

4 0
3 years ago
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