All categories

2 years ago

What is the slope of the line? x+3y=100

Mathematics

1 answer:

Dima020 [189]2 years ago

8 0

Answer:

y= (100 - x) / 3 or y= (100/3) - (1x/3)

Step-by-step explanation:

1) subtract x

2) divide the entire equality by 3

3) Solve

You might be interested in

If tanA+sinA=m and tanA-sinA=n.prove that m^2-n^2=4√mn

mash [69]

Let $a=\tan A$ and $b=\sin A$ . Then

$m^2-n^2=(a+b)^2-(a-b)^2=(a^2+2ab+b^2)-(a^2-2ab+b^2)=4ab$

$\implies m^2-n^2=4\tan A\sin A$

and

$mn=(a+b)(a-b)=a^2-b^2$

$\implies4\sqrt{mn}=4\sqrt{\tan^2A-\sin^2A}$

The expression under the square root can be rewritten as

$\tan^2A-\sin^2A=\dfrac{\sin^2A}{\cos^2A}-\sin^2A=\sin^2A\left(\dfrac1{\cos^2A}-1\right)=\sin^2A(\sec^2A-1)$

Recall that

$\sin^2A+\cos^2A=1\implies\tan^2A+1=\sec^2A$

so that

$\tan^2A-\sin^2A=\sin^2A\tan^2A$

and assuming $\sin A>0$ and $\tan A>0$ , we end up with

$4\sqrt{\tan^2A-\sin^2A}=4\tan A\sin A$

so that

$m^2-n^2=4\sqrt{mn}$

as required.

5 0

2 years ago

PLEASE HELP...

Sladkaya [172]

10.38

i multiplied each number and the answers that i got i added them to get the area

3 0

3 years ago

What is y+11= -7/9 (x-18)?

scoray [572]

Answer:

y=2.2

Step-by-step explanation: Hope this helps you out!!

6 0

2 years ago

For the function y = f(x) = 3x -5<br> What is the y intersection

Jobisdone [24]

Answer:

The y-intercept is -5.

Step-by-step explanation:

In algebra, "y=" and "f(x)=" is basically the same thing. You don't have to write them both. Also, $y=3x-5$ is in slope-intercept form, which is: $y=mx+b$ , where $b$ is the y-intercept. That means "-5" is the y-intercept.

8 0

2 years ago

Which of the equations listed below are linear equations?

telo118 [61]

Answer:

iK ITS A TRICKY QUESTION ITS C THOUGH

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers