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Ksenya-84 [330]

3 years ago

12

Lines a and b are perpendicular. The equation of line a is y=1/3x+3. What is the equation of line b

1 answer:

kykrilka [37]3 years ago

6 0

Perpendicular lines have slopes that are negative reciprocals to each other, that is, if one slope is a/b, the other is -b/a
in this case, the given slope is 1/3, so the other line's slope is -3/1, which is -3
from the graph we see that the y intercept of line b is -4, so the equation of line b is: y=-3x-4

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Mathematical Statement Justification

olya-2409 [2.1K]

Answer:

B

Step-by-step explanation:

1. Given mathematical statement

$4x+3=x+5-2x$

So,

$\begin{array}{cc}4x+3=x+5-2x&\text{ Given}\end{array}$

2. Rewrite it as

$4x+3=x-2x+5$

So,

$\begin{array}{cc}4x+3=x-2x+5&\text{ Commutative property of addition}\end{array}$

3. Combine like terms $x$ and $-2x:$

$4x+3=-x+5$

So,

$\begin{array}{cc}4x+3=-x+5&\text{ Combine like terms}\end{array}$

4. Add $x$ to both sides:

$4x+3+x=-x+5+x\\ \\5x+3=5$

So,

$\begin{array}{cc}5x+3=5&\text{ Addition property of equality}\end{array}$

5. Subtract 3 from both sides:

$5x+3-3=5-3\\ \\5x=2$

So,

$\begin{array}{cc}5x=2&\text{ Subtraction property of equality}\end{array}$

6. Divide both sides by 5:

$x=\dfrac{2}{5}$

So,

$\begin{array}{cc}x=\dfrac{2}{5}&\text{ Division property of equality}\end{array}$

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Christine watched a video for 3/8 minutes and she watched another video for 1/8 minutes how long did she watch videos in l

pashok25 [27]

Answer:

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Step-by-step explanation:

You just add 3/8+1/8 and you get 4/8 and you can simplify that down to 1/2 minutes (half of a minute or 30 seconds)

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Gemiola [76]

Answer:

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Step-by-step explanation:

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(10 + 4 − 2) / 20 = 12/20.

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Rzqust [24]

Y2-Y1
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What operation should be performed first to solve this problem?

Keith_Richards [23]

The answer is...
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