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Mice21 [21]
3 years ago
14

What is the equation of a line passes thru the point (4, 2) and is perpendicular to the line whose equation is y = ×/3 - 1 ??

Mathematics
2 answers:
yawa3891 [41]3 years ago
7 0

Answer:

y = -3x + 14

Step-by-step explanation:

First find the reciprocal slope since it is perpendicular.  Slope of the other line is 1/3 so the slope for our new equation is -3.  

Plug information into point-slope equation

(y - y1) = m (x-x1)

y - 2 = -3 (x-4)

Simplify if needed

y - 2 = -3x + 12

y = -3x + 14

cupoosta [38]3 years ago
5 0

Answer:

Perpendicular lines have slopes that are opposite and reciprocal. Therefore, the line we are looking for has a -3 slope.

y= -3x+b

Now, we can substitute in the point given to find the intercept.

2= -3(4)+b

2= -12+b

b=14

Finally, put in everything we've found to finish the equation.

y= -3x+14

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Step-by-step explanation:

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7 0
3 years ago
April and Sanjay are both using tools to simulate the probability that a family with three children will have exactly one girl.
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What is the arc measure of abc in degrees
Virty [35]

<u>Given</u>:

The measure of arc AB is (4y + 6)°

The measure of arc BC is (20y - 11)°

The measure of arc AC is (7y - 7)°

We need to determine the measure of arc ABC.

<u>Value of y:</u>

The value of y is given by

m \widehat{AB}+m \widehat{BC}+ m \widehat{AC}=360

Substituting the values, we get;

4y+6+20y-11+7y-7=360

Adding the like terms, we have;

31y-12=360

Adding both sides of the equation by 12, we have;

31y=372

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Thus, the value of y is 12.

<u>Measure of arc ABC:</u>

The measure of arc ABC can be determined by adding the measure of arc AB and arc BC.

Thus, we have;

m \widehat{ABC}=m \widehat{AB}+ m \widehat{BC}

m \widehat{AB}+m \widehat {BC}=4y+6+20y-11

                      =24y-5

Substituting y = 12, we get;

m \widehat{AB}+m \widehat {BC}=24(12)-5

                      =288-5

m \widehat{AB}+m \widehat {BC}=283^{\circ}

Thus, the measure of arc ABC is 283°

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3 years ago
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