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Zinaida [17]
3 years ago
15

Find the equation of the line perpendicular to 3x-7y=42 which passes through the point (-3,-8)

Mathematics
1 answer:
harkovskaia [24]3 years ago
4 0
For perpendicular lines, m1m2 = -1 or m2 = -1/m1; where m1 and m2 are the slopes of the lines.
Here line 1 is 3x - 7y = 42
7y = 3x - 42
y = 3/7 x - 6; Hence m1 = 3/7
m2 = -1/(3/7) = -7/3
Required equation y - y1 = m2(x - x1)
y - (-8) = -7/3(x - (-3))
y + 8 = -7/3(x + 3)
y + 8 = -7/3 x - 7
y = -7/3 x - 7 - 8
y = -7/3 x - 15
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The two lines y= 6x+15 and y= mx+4 intersect at x= -2. What is the y-coordinate of their intersection point
taurus [48]

Answer:

The y-coordinate of their intersection point is 3

That is y=3

Step-by-step explanation:

Given two lines are y=6x+15 and y=mx+4

Given that the two lines intersect at x=-2

To find the y coordinate of their intersection point :

Equating the two lines

6x+15=mx+4

6x+15-mx-4=0

6x-mx+11=0

(6-m)x+11=0

At x=-2  (6-m)x+11=0

(6-m)(-2)+11=0

(6-m)(-2)=-11

6-m=\frac{11}{2}

-m=\frac{11}{2}-6

-m=\frac{11-12}{2}

-m=\frac{-1}{2}

m=\frac{1}{2}

Substitute the value m=\frac{1}{2} in y=mx+4 we get

y=\frac{1}{2}x+4

At x=-2 y=\frac{1}{2}(-2)+4

=-1+4

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Therefore y=3

Therefore the y-coordinate of their intersection point is 3

7 0
3 years ago
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FrozenT [24]

Answer:

B =102

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Step-by-step explanation:

Solving (47):

To solve for B, we have:

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Collect like terms

B =- 78 + 180

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Solving (48):

To solve for Y, we have:

X + Y+ Z = 180 --- sum of angles in a triangle

This gives

Y = 180 - X - Z

Where

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Solve for X

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5 0
3 years ago
What is the distance from X to Y?
densk [106]

Answer:

15

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\sqrt{((x2-x1)^2 + (y2-y1)^2)}

\sqrt{(9-0)^2 + (-6-6)^2}

\sqrt{81 + 144}

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15

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2 years ago
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