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3 years ago

How can you tell if a linear equation is proportional?

Mathematics

1 answer:

Snezhnost [94]3 years ago

5 0

Answer:

If the line goes through the origin, (0,0), that means the linear equation is proportional, if it doesn't go through the origin, the equation isn't proportional.

You can also tell if a linear equation is proportional if the equation has an constant after the x (for example y=2x+6)

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Which of the following are solutions to the equation below?

scoundrel [369]

Answer:

The correct options for the solution values are:

$x=2\sqrt{2}-5$

$x=-2\sqrt{2}-5$

Step-by-step explanation:

Given the expression

$x^2+10x+25=8$

Subtract 25 from both sides

$x^2+10x+25-25=8-25$

Simplify

$x^2+10x=-17$

Add 25 or 5² to both sides

$x^2+10x+5^2=8$

$x^2+10x+5^2=\left(x+5\right)^2$

so the expression becomes

$\left(x+5\right)^2=8$

$\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}$

solve

$x+5=\sqrt{8}$

Subtract 5 from both sides

$x+5-5=2\sqrt{2}-5$

$x=2\sqrt{2}-5$

solve

$x+5=-\sqrt{8}$

Subtract 5 from both sides

$x+5-5=-2\sqrt{2}-5$

$x=-2\sqrt{2}-5$

Therefore, the solution to the equation

$x=2\sqrt{2}-5,\:x=-2\sqrt{2}-5$

Hence, the correct options for the solution values are:

$x=2\sqrt{2}-5$

$x=-2\sqrt{2}-5$

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3 years ago

Angle measures 44, 58, 122, and 136 are all written on sheets of paper. you choose slips of paper at random what is the probabil

svp [43]

It is 1/4*1/4=1/16. Since the probability of one number is 1/4, you need two numbers to become supplementary.

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3 years ago

Boatesville is 63 4/5 kilometers from Stanton. A bus traveling from Stanton is 24 1/3 kilometers from Boatesville. How far has t

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Well, here goes.
Boatesville is 50.4km far from Stanton (when you do 63×4/5).
A bus needs to travel 8km more to get to Boatesville. Difference is your answer.
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3 years ago

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algol [13]

A+4
a+8
a+12
a+16
a+20
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3 years ago

12 5/8- 8 7/8= whatttttttttttttttttt?

Gwar [14]

Answer:

Step-by-step explanation:

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3 years ago