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3 years ago

What is the slope of a line that is perpendicular to the line whose equation is 8y−5x=11?

Mathematics

2 answers:

garik1379 [7]3 years ago

8 0

Answer:

The slope of the perpendicular line will be -8/5, or -1.6

Step-by-step explanation:

First we need to rearrange the equation to show the slope, putting in the format y = sx + c:

$8y - 5x = 11\\8y = 5x + 11\\y = \frac{5}{8}x + \frac{11}{8}$

So the given line has a slope of 5/8.

A line perpendicular to that will have a negative reciprocal of that slope, so it's slope will be -8/5.

ElenaW [278]3 years ago

4 0

9514 1404 393

Answer:

-8/5

Step-by-step explanation:

When you solve for y, the slope of the line is the x-coefficient. For the given line, that is ...

8y = 5x +11 . . . . . add 5x

y = 5/8x +11/8 . . . . divide by 8

The given line has a slope of 5/8. The perpendicular line will have a slope that is the opposite of the reciprocal of this:

-1/(5/8) = -8/5 . . . . slope of perpendicular line

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Traveling with the current a certain boat went 16km/h. Against the same current it only went 6km/h. Find the current and the spe

Aloiza [94]

Answer:

Step-by-step explanation:

b and c are the speeds of the boat in stool water, and current, respectively.

Going with the current, the boat travels b+c=16 km/h.

Going against the current, the boat travels b-c=6 km/h

add the equations together

b+c = 16

b-c = 6

—————

2b = 22

b = 11

c = 16-b = 5

4 0

3 years ago

For the first 8 months at his new job, James gets

Vikentia [17]

James receives a pay increase of 100% per month and has a starting salary of $500.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Let b represent the rate of pay increase and a represent the initial pay.

Let us assume that he had received 128000 after the 8 months. hence:

128000 = ab⁸ (1)

Also in the 10th month, he had received 512000, hence:

512000 = ab¹⁰ (2)

From the both equations:

a = 500, b = 2

rate of increase = 200% - 100% = 100%

James receives a pay increase of 100% per month and has a starting salary of $500.

Find out more on equation at: brainly.com/question/2972832

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4 0

2 years ago

Simplify.

marin [14]

1/2+(3/8−1/8)^2

= 1/2+(2/8)^2

= 1/2+(1/4)^2

= 1/2 + 1/16

= 8/16 + 1/16

= 9/16

Answer

9/16

3 0

3 years ago

Read 2 more answers

Solving systems of Equations Word Problems - CLASSWORK

dem82 [27]

Answer:

Part A) For the number of hours less than 5 hours it make more sense to rent a scooter from Rosie's

Part B) For the number of hours greater than 5 hours it make more sense to rent a scooter from Sam's

Part C) Yes, for the number of hours equal to 5 the cost of Sam'scooters is equal to the cost of Rosie's scooters

Part D) The cost is $90

Step-by-step explanation:

Let

x-------> the number of hours (independent variable)

y-----> the total cost of rent scooters (dependent variable)

we know that

Sam's scooters

$y=8x+30$

Rosie's scooters

$y=10x+20$

using a graphing tool

see the attached figure

A. when does it make more sense to rent a scooter from Rosie's? How do you know?

For the number of hours less than 5 hours it make more sense to rent a scooter from Rosie's (see the attached figure) because the cost in less than Sam' scooters

B. when does it make more sense to rent a scooter from Sam's? How do you know?

For the number of hours greater than 5 hours it make more sense to rent a scooter from Sam's (see the attached figure) because the cost in less than Rosie' scooters

C. Is there ever a time where it wouldn't matter which store to choose?

Yes, for the number of hours equal to 5 the cost of Sam'scooters is equal to the cost of Rosie's scooters. The cost is $70 (see the graph)

D. If you were renting a scooter from Rosie's, how much would you pay if you were planning on renting for 7 hours?

Rosie's scooters

$y=10x+20$

For x=7 hours

substitute

$y=10(7)+20=90$

The cost is $90

4 0

3 years ago

Brainliest for the best answer, for 50 points:<br><br>

vampirchik [111]

Answer:

a) Children total 37, Teens total 64, Adults total 50, Chocolate total 70, Vanilla total 47, Strawberry total 34

b) 15

c) 15

d) 49/64

7 0

3 years ago