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Artyom0805 [142]
3 years ago
11

Please explain “ write the equation of the perpendicular bisector of rs point r is located at (-1,3) and point s is located at (

3,1) “

Mathematics
1 answer:
vodka [1.7K]3 years ago
3 0
Hi there!

First, we'll need to find the midpoint of RS in order to bisect it. Using the midpoint formula, we can determine that the midpoint of RS is (1,2). Then, we'll need to find the slope of RS, then find the opposite reciprocal of the slope of RS to find the slope of our new line because perpendicular lines have opposite reciprocal slopes. The slope of our new line is 2. Next, we can plug our values into point-intercept form to find the equation. 

WORK:
y - 2 = 2(x - 1)
y - 2 = 2x - 2
y = 2x

ANSWER:
D - y = 2x

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
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Answer:

The constant proportionally of the graph is:

  • k = 8

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get the equation

y ∝ x

y = kx

k = y/x

here 'k' is called the constant of proportionality.

From the graph, it is clear that:

at x = 0.5, the value of y = 4

so substituting x = 0.5 and y = 4 in the equation

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k = 4/0.5

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at x = 1, the value of y = 8

so substituting x = 1 and y = 8 in the equation

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k = 8/1

k = 8

Therefore, the constant proportionally of the graph is:

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4 0
3 years ago
Suppose theta(????) measures the minimum angle between a clock’s minute and hour hands in radians. What is theta′(????) at 4 o’c
makvit [3.9K]

Answer:

\frac{\pi }{30} radians per minute.

Step-by-step explanation:

In order to solve the problem you can use the fact that the angle in radians of a circumference is 2π rad.

The clock can be seen as a circumference divided in 12 equal pieces (because of the hour divisions). Each portion is \frac{1}{12}

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Now, you have to find how many pieces of the circumference are between 12 and 4 to calculate the angle (Because 4 o'clock is when the minute hand is in 12 and the hour hand is in 4)

There are 4 portions from 12 to 4, so the angle (Let α represent it) is:

α= (4)\frac{\pi }{6} = \frac{2\pi }{3}

But the answer is asked in radians per minute. So you have to divide the angle by the amount of minutes between the hands of the clock at 4 o'clock.

There are 60 divisions in a clock for representing minutes, therefore in every portion there are:

\frac{60}{12} = 5 minutes

So, from the 12 mark to the 4 mark there are 20 minutes

The angle per minute is:

α= \frac{2\pi/3 }{20} = \frac{2\pi }{(20)(3)} = \frac{\pi }{30} rad/min

Notice that the minimum angle is the angle mesured clockwise.

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Answer:

You will get 208 ounces in a crate.

Step-by-step explanation:

There are 13 ounces in a jar

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You have to multiply 16*13

You will get 208 ounces in a crate

Hope this helps!

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