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Olin [163]
2 years ago
6

What is an equation for the line perpendicular to y=-1/8x+6 that passes through (-3,-10)

Mathematics
1 answer:
Ainat [17]2 years ago
4 0

Answer:

y = 8x + 14

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - \frac{1}{8} x + 6 ← is in slope- intercept form

with slope m = - \frac{1}{8}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{1}{8} } = 8 , then

y = 8x + c ← is the partial equation

To find c substitute (- 3, - 10 ) into the partial equation

- 10 = - 24 + c ⇒ c = - 10 + 24 = 14

y = 8x + 14 ← equation of perpendicular line

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Guys i need your HELP ASAP​
ivanzaharov [21]
To solve this, you’ll first need to solve for their slopes.

The slope for line Q is y2-y1/x2-x1 = -8-(-2)/-8-(-10) = -3

We know that the lines are perpendicular so the negative reciprocal of -3 is 1/3

The equation you get it y = 1/3x + b.

Now you will need to solve for b by substituting in the first ordered pair of line R.

2 = 1/3(1) + b.

Once you solve for b, you should get 5/3 and y = 1/3x + 5/3

Now, to find a, you will need to substitute in 10 from the second ordered pair into x in your new equation.

y = 1/3(10) + 5/3.

Your solution should be 5.

So your answer is: a = 5
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Two circular cylinders are similar. The ratio of the areas of their bases is 9:4. Find the ratio of the volumes of the similar s
OleMash [197]

Answer:

27 : 8

Step-by-step explanation:

Given 2 similar figures with ratio of sides a : b, then

ratio of areas = a² : b² and

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Here the ratio of areas = 9 : 4, thus

ratio of sides = \sqrt{9} : \sqrt{4} = 3 : 2

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In the figure below, the segments overline RS and overline RT are tangent to the circle centered at Given that OS = 3.6 and RT =
ExtremeBDS [4]

Answer:

RS = 4.8

OT = 3.6

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OR^2 = ST^2 + OT^2

OR^2 = 4.8^2 + 3.6^2

OR ^2 = 23.04 + 12.96

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Step-by-step explanation:

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2 years ago
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Shtirlitz [24]

Answer:

18

Step-by-step explanation:

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