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2 years ago

Determine the equation of a perpendicular line to y= -3/5x + 14, y-intercept 8

Mathematics

1 answer:

lana66690 [7]2 years ago

3 0

9514 1404 393

Answer:

y = 5/3x +8

Step-by-step explanation:

The slope of the perpendicular line is the opposite reciprocal of the slope of the given line. The given slope is -3/5, so the perpendicular slope is ...

-1/(-3/5) = 5/3

That and the given y-intercept can be put into the slope-intercept equation ...

y = mx + b . . . . . line of slope m and y-intercept b

y = 5/3x + 8

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A right triangle has a hypotenuse of 153 centimeters and a leg of 72 centimeters. What is the length of the other leg?

Luba_88 [7]

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2 years ago

Compare the process of solving |x – 1| + 1 < 15 to that of solving |x – 1| + 1 > 15. Check all of the following you includ

zepelin [54]

The required Comparison of the inequalities are

The |x – 1| + 1 > 15 represents the value of x lies between 13<x<15.

The range of values encompassing the region's junction is (-13, 15).

If x is more than or equal to 15, then x-11+1>15 indicates the value of x is greater than or equal to 13. None of the regions in the intersection are empty.

<h3>What is inequality?</h3>

When comparing two numbers, an inequality indicates whether one is less than, larger than, or not equal to the other.

We take into account the various variables of the inequality

|x – 1| + 1 > 15

Therefore

|-x-1|+1-1<15-1

|-x-1|-1 <14

13<x<15

The required region lies between the inequality -13 <x< 15.

Simplify the inequality Ix-11+1 > 15 we get,

|x-1|+1 > 15

|x+1| +1-1 >15-1

|x-1| > 14

x> 15

x<-13

If x has a value between -13 and x + 15, then the expression "|x-1|+1+115" is true. The range "(-13, 15)" contains the intersection of the region.

If "|x-1|+1>15" then either "x >15" or "x-13" applies to the value of x. This region's intersection is unoccupied.

Read more about inequalities

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7 0

2 years ago

If you place $1,000.00 in a savings account with an interest rate of 5.25%/month, how much should you earn in interest at the en

Doss [256]

It's al little over 190. you just divide the 1000 by the 5.25%.

4 0

2 years ago

3(10 - x) = 21 30 - 21 30 - 3x = 21 - 3x - 3x -9 = X =

xxMikexx [17]

Answer:

x=3

hope this answers is ok na

3 0

2 years ago

Read 2 more answers

60 POINTS BRAINLIES

MaRussiya [10]

Answer:

see below

Step-by-step explanation:

a) median : re-arranged the numbers in order. i.e. min to max

gold: 147 , 147 , 175 , 206 , 212 , 227 , 263 , 275 , 440 , 1022

212 + 227 = 219.50

silver: 147 , 163 , 165 , 170 , 178 , 241 , 295 , 313 , 357 , 794

178 + 241 = 209.50

bronze: 151 , 169 , 179 , 187 , 193 , 260 , 289 , 325 , 349 , 704

193 + 260 = 226.50

b) mean : sum of all numbers divide by n, where n=10

gold: = (147 , 147 , 175 , 206 , 212 , 227 , 263 , 275 , 440 , 1022 ) / 10

= 311.40

silver: = (147 , 163 , 165 , 170 , 178 , 241 , 295 , 313 , 357 , 794 ) / 10

= 282.30

bronze: = (151 , 169 , 179 , 187 , 193 , 260 , 289 , 325 , 349 , 704 ) / 10

= 280.60

c) standard deviation on population (STDEV.P)

Australia = 16.44

china = 33.03

france = 19.74

germany = 30.21

great britain = 13.89

hungary = 12.04

italy = 11.44

soviet union = 48.46

sweden = 13.47

united states = 133.84

6 0

3 years ago