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Masja [62]
3 years ago
12

What is the value of k used to find the coordinates of a point that partitions a segment into a ratio of 5:3. Please Explain.

Mathematics
1 answer:
Dafna11 [192]3 years ago
4 0

Answer:

The value of k is 5/8

Step-by-step explanation:

The value of k is found by dividing the numerator of the original ratio, 5, by the sum of the numerator and denominator of the ratio

When finding a point, P, to partition a line segment AB into the ratio a/b, we find a ratio c = a / (a + b)

According to this formula we find the value of k.

k = a/(a+b)

where a = 5

b = 3

Now plug the values in the formula:

k = 5/(5+3)

k = 5/8 ....

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Oksana_A [137]
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5 0
3 years ago
Which equation represent the line that passes through the points (-4,3) and (2,-12)
Lina20 [59]
I'm pretty sure it's: 5x + 2y = –14
5 0
3 years ago
What is the measure for the following ?​
Effectus [21]

Answer:

60 is the answer

Step-by-step explanation:

4 0
3 years ago
The net of a triangular prism is shown below. What is the surface area of the prism? A. 128 cm^2 B. 152 cm^2 C. 176 cm^2 D. 304
shtirl [24]

Answer:

B. 152 cm²

Step-by-step explanation:

To find the surface area using a net, do this:

Take apart the figure. We see that there are three rectangles and two triangles. Find the area of each (A=l*w) and then add the values together:

The first rectangle on the left is the same as the one on the right.

5*8=40

Two measures are 40 cm².

The middle rectangle is:

6*8=48

48 cm²

The formula for the area of a triangle is A=\frac{1}{2}*b*h:

A=\frac{1}{2}*6*4\\\\A=\frac{1*6*4}{2}\\\\A=\frac{24}{2}\\\\ A=12

The area of the two triangles is 12 cm².

Now add the values:

40+40+48+12+12=152

The area of the figure is 152 cm².

:Done

4 0
3 years ago
Marshall left home biking at a constant rate of 20 mph. One hour later, it looked like it may rain, so his friend, brett, set ou
Lana71 [14]

Answer:

0.5

Step-by-step explanation:

First, we need to find how far ahead Marshall was.  Since he had been biking at 20 mph for one hour, he had gone 20 miles.

Next, we need to find how long it will take Brett to catch up to Marshall.  In order to do this, we need to find how much faster Brett is going than Marshall.  We do this by subtracting Marshall's speed from Brett's speed.

60 - 20 = 40.  So, Brett is catching up to Marshall at 40 mph.  Now, we figure out how long it will take for someone going 40 miles per hour to go 20 miles.  We find this by dividing 40 miles per hour by 20.  This is equal to 1/2 hour.  So, it will take Brett 0.5 hours to catch up to Marshall.  This is the same as A, so A is the correct answer.

We can check our answer by seeing how far Marshall and Brett will have gone.  Marshall will have been biking for 1.5 hours, so we multiply 20 * 1.5 = 30.  Marshall went 30 miles.

Brett drove for .5 hours at 60 mph, so he went 30 miles.  Since Brett and Marshall went the same distance, our answer is correct.

4 0
3 years ago
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