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Elenna [48]
3 years ago
15

Find the coordinates of the point 7/10 of the way from A to B A=(-4,-7) B=(12,5)p

Mathematics
1 answer:
mars1129 [50]3 years ago
4 0

Answer:

a=(-3,-6) and b=(12,4)

from -3 to 12 is 15 units

7/10 * 15=10.5

add 10.5 to -3 to get 7.5 for the x-coordinate

from -6 to 4 is 10 units

7/10 * 10=7

add 7 to -6 to get 1 for the y-coordinate

the point 7/10 of the way from a to b is (7.5,1) ANSWER

graph these points to check your answer (the point (7.5,1) is on the line segment AB))

also, the distance from a to b is 18.0277

7/10 of this is 12.62

the distance from (-3,-6) to (7.5,1) is also 12.62

Step-by-step explanation:

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3 years ago
A bus is traveling at 50 mph. If the rate of speed increases 3 mph each hour, how long will it be before the bus is traveling at
arsen [322]

Answer:

It will take 10 hours.

Step-by-step explanation:

By using the formula of motion,

v = u + at

Here, v = Final speed of an object

u = initial speed

a = Acceleration by which the speed is increasing

t = Duration or time

Now substitute the values given in the question,

80 = 50 + 3t

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Therefore, after 10 hours speed of the bus will be 80 mph.  

4 0
3 years ago
Help me now !!!!!!!!!!!!!!!!
miskamm [114]

In the first diagram the value of k is 10 and in the second diagram the value of k is 15/2.

<h3>What is the triangle?</h3>

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

In the first diagram:

The sum of the 5k + 20 and 7k + 40 is 180

5k + 20 + 7k + 40 = 180

12k + 60 = 180

12k = 180 -60

12k = 120

k = 10

In the second diagram:

The sum of the two interior angles is equal to the exterior angle.

40 + 12k + 10 = 8k + 80

4k = 30

k = 30/4 = 15/2

Thus, in the first diagram the value of k is 10 and in the second diagram the value of k is 15/2.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ1

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2 years ago
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