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Kruka [31]
3 years ago
6

Find the slope of the line that passes through the points (3, 6) and (5, 3).

Mathematics
1 answer:
DanielleElmas [232]3 years ago
7 0

Hello!

To find the slope of the line that passes through the points (3, 6) and (5, 3), we will need to use the slope formula.

Slope formula is \frac{y_{2}-y_{1} }{x_{2}-x_{1}}.

Now, we should assign the given points as x1, y1 or x2, y2. The point (3, 6) can be assigned to x1, y1, and (5, 3) to x2, y2.

Now, substitute the given points into the slope formula.

\frac{3-6}{5-3} =  -\frac{3}{2}

Therefore, the slope of the line is choice A, -3/2.

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Jaylen and ken started jogging from the same place in the opposite directions along a straight path. jaylen's speed was 30 m/min
erica [24]

The average speed of Ken is 70 m/min. Using the relation between the speed and distance, the required speed for Ken is calculated.

<h3>What is the relation between speed and distance?</h3>

The relationship between speed S and distance D with a period T is formed as

S = D/T

Units: m/sec (basic unit)

<h3>Calculation:</h3>

Given that,

Jaylen and Ken started jogging from the same place in opposite directions along a straight path.

This means, that the sum of distances traveled by both of them in opposite directions = 13.6 km (since it is given that at the end of their jogging, they are 13.6 km apart)

Consider,

The distance traveled by Jaylen = x km

Then the distance traveled by Ken = x - 2.4 km (since Jaylen jogged 2.4 km more than Ken)

Step 1: Finding the distance traveled by them:

x + x - 2.4 = 13.6

⇒ 2x = 13.6 + 2.4

⇒ 2x = 16

⇒ x = 8 km

So, the distance travelled by Jaylen = 8 km and by Ken = 8 - 2.4 = 5.6 km

Step 2: Finding the average speed traveled by Ken:

Since it is given that,

Jaylen's speed was 30 m/min faster than Ken's speed.

So,

For 30 m, the time = 1 min

then for 2.4 km i.e., 2400 m, the time = 80 min.

Therefore,

the average speed of Ken S = D/t

⇒ S = 5600 m / 80 min

∴ S = 70 m/min.

So, the average speed of Jaylen will be 70 m/min + 30 m/min = 100 m/min.

Thus, the average speed of Ken is 70 m/min.

Learn more about the relation between speed, distance, and time here:

brainly.com/question/3004254

#SPJ2

5 0
2 years ago
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Simora [160]
Answer : 32
( angles of a triangle add up to 180)
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3 years ago
Hal has 4 girl friends and 5 boy friends. In how many different ways can Hal invite 2 girls and 2 boys to his birthday party?
ExtremeBDS [4]
The answer would be 60 :)
8 0
3 years ago
A rectangle has a perimeter of 50 inches and a width of 4 inches. What is the length of this rectangle?
masya89 [10]

Answer:

the length is 21

Step-by-step explanation:

50-4-4=42÷2=21

3 0
2 years ago
Read 2 more answers
2) pplllllss hellppp
Dovator [93]

Answer:

A. -1 and 1/3

Step-by-step explanation:

The number -1 and 1/3 is directly to the right of -1 and 2/3 because there is a -1/3 difference between them

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