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3 years ago

The slope of a line is 1, and the y-intercept is -1. What is the equation of the line written in slope-intercept form?

Mathematics

1 answer:

Nat2105 [25]3 years ago

8 0

Answer:

y=x-1

Step-by-step explanation:

since the slope is just one up and one over and it's positive it would just be x

and since the intercept is just -1 it would be y=x-1

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a positive integer is twice another. The sum of the reciprocals of the two positive integers is frac 3/16, find the two integers

gizmo_the_mogwai [7]

Step-by-step explanation:

Let $x$ be the smallest integer

Let $2x$ be the larger integer

As the sum of the reciprocals of the two positive integers is frac 3/16

So,

$\frac{1}{x}\:+\:\frac{1}{2x}\:=\:\frac{3}{16}$

$\mathrm{Multiply\:by\:LCM=}16x$

$\frac{1}{x}\cdot \:16x+\frac{1}{2x}\cdot \:16x=\frac{3}{16}\cdot \:16x$

Simplify

$24=3x$

$\mathrm{Switch\:sides}$

$3x=24$

$\mathrm{Divide\:both\:sides\:by\:}3$

$\frac{3x}{3}=\frac{24}{3}$

$x=8$

So,

$2x=16$

<h2>Verification:</h2>

$\frac{1}{8}\:+\:\frac{1}{16}$

$\mathrm{Least\:Common\:Multiplier\:of\:}8,\:16:\quad 16$

$=\frac{2}{16}+\frac{1}{16}$

$\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}$

$=\frac{2+1}{16}$

$=\frac{3}{16}$

Therefore,

$\frac{1}{8}+\frac{1}{16}=\frac{3}{16}$

Keywords: word problem , integer

Learn more about solving integer word problem from brainly.com/question/10905225

#learnwithBrainly

4 0

3 years ago

The radius of the circle?

german

The given circumference is C = 12*pi

The formula for the circumference of any circle, with radius r, is
C = 2*pi*r

Plug in the given value of C and solve for r

C = 2*pi*r
12*pi = 2*pi*r ... C has been replaced with 12*pi
12 = 2*r ... divide both sides by pi (they cancel out)
6 = r ... divide both sides by 2

So r = 6 is the radius

4 0

3 years ago

Read 2 more answers

Brainliest if correct

marysya [2.9K]

Answer:

w=4

Step-by-step explanation:

28=14w-7w whenever you work it out it equals w=4... happy to help :)

8 0

2 years ago

Read 2 more answers