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Volgvan
3 years ago
9

What is the equation of a line through point (-4,5) that is perpendicular to the line with equation y=-6x+4?

Mathematics
1 answer:
Jobisdone [24]3 years ago
4 0
To find the gradient of the perpendicular line, we know that we must do the negative inverse of the current line's gradient

-6x from the old line will now be 1/6x

we are given points on that line and we therefore use the points and the new gradient to find the equation of the line using this formula

y-y1=m(x-x1) where m is the gradient

input the values that we have

y-5=1/6(x--4)

rearrange

y-5=1/6(x+4)
y-5=1/6x+4/6
6y-30=x+4
6y=x+34
y=1/6x+34/6
y=1/6x+17/3
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What is the slope of the line passing through the points (0, 4) and (-8, -1)?
Bas_tet [7]

Answer:

0.625

Step-by-step explanation:

Given the points :

(0, 4) and (-8, -1)

x1 = 0 ; y1 = 4

x2 = - 8 ; y2 = - 1

Slope, m = rise / run

Rise = y2 - y1 = - 1 - 4 = - 5

Rise = x2 - x1 = - 8 - 0 = - 8

The slope, m = - 5 / - 8

Slope, m = 0.625

7 0
3 years ago
McKenzie works for a catering company she is making ice tea for an upcoming event for each container of tea she uses 16 tea bags
never [62]

64 divided by 16= 4

3x4=12


if Mckenzie uses 64 tea bags she will need to use 12 cups of sugar

7 0
3 years ago
Read 2 more answers
Three times a number minus thirty-two
lbvjy [14]

Answer:

3n−32=7n+28

n=-15

Step-by-step explanation:

Let's solve your equation step-by-step.

3n−32=7n+28

Step 1: Subtract 7n from both sides.

3n−32−7n=7n+28−7n

−4n−32=28

Step 2: Add 32 to both sides.

−4n−32+32=28+32

−4n=60

Step 3: Divide both sides by -4.

−4n/−4=60/−4

n=−15

3 0
2 years ago
Help me find the answerr
notka56 [123]

Answer:

m∠3 = 24°

Step-by-step explanation:

By the theorem,

"Intercepted arc measures the double of the inscribed angle formed by two chords meeting at one point of the circle."

In the given picture,

∠3 is the inscribed angle subtended by the arc ED and is the intercepted arc.

Therefore, m∠3 = \frac{1}{2}m(\text{arc}ED)

m∠3 = \frac{1}{2}(48)

        = 24°

Measure of angle 3 is 24 degrees.

6 0
2 years ago
To check the correctness of the answer to a multiplication example, divide the
zubka84 [21]

Multiplicand is the number that gets multiplied, multiplier is the number that you are multiplying by, product is the result of mulptiplication multiplicand by multiplier.


Let a be a multiplicand, b be a multiplier and c be a product, then


a·b=c.


To check the correctness of the answer to a multiplication example, you should divide the product c by the multiplier b:


c÷b=a.


Answer: correct choice is A.

5 0
2 years ago
Read 2 more answers
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