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2 years ago

Use the formula to find the slope of the line that passes through these two points. Show your work.

Mathematics

1 answer:

Dafna1 [17]2 years ago

6 0

Answer:

Solution given:

$(x_1,y_1)=(1,2)$

$(x_2,y_2)=(7,7)$

now

slope: $\frac{y_2-y_1}{x_2-x_1}=\frac{7-2}{7-1}=\frac{5}{6}$

Slope: 5/6

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Given ΔKLM with lengths as marked, what is the relationship of segment NO to segment KL?

Oliga [24]

Segment NO is parallel to the segment KL.

Solution:

Given KLM is a triangle.

MN = NK and MO = OL

It clearly shows that NO is the mid-segment of ΔKLM.

By mid-segment theorem,

<em>The segment connecting two points of the triangle is parallel to the third side and is half of that side.</em>

⇒ NO || KL and $NO = \frac{1}{2}KL$

Therefore segment NO is parallel to the segment KL.

6 0

3 years ago

Ms.Waddell put a 12-inch tall bucket under a leak in her sink. The bucket fills at a constant rate of 1/2 inch in every 1/6 of a

Angelina_Jolie [31]

Answer:

4 hours

Step-by-step explanation:

To solve this question you will simply make a ratio type equation. You know that every 1/6 of an hour, or every 10 minutes, the bucket will fill 1/2 an inch. The bucket is 12 inches tall.

$\frac{10 min}{1/2 inch} = \frac{x min}{12 inches}$

Cross multiply

$120=\frac{1}{2} x$

$x=240 min$

Convert minutes to inches

$\frac{240 min}{1} * \frac{1 hr}{60 min} = 4 hr$

Final answer: 4 hours

Hope this helps!

8 0

3 years ago

A machine in a factory makes 20 gadgets every 1/4 hour. How many gadgets are made every hour?

Hoochie [10]

Answer:

80 machines

Step-by-step explanation:

If a machine makes 20 gadgets every fourth (1/4) of an hour, it makes 80 machines every hour (20*4).

7 0

3 years ago

Find the surface area of the sphere with the given dimension. Leave your answer in terms of pi

AfilCa [17]

A you just divide bro

5 0

2 years ago

13, 5, 4, 9, 7, 14, 4 The deviations are _____.

fenix001 [56]

Answer:

B."5, -3, -4, 1, -1, 6, -4"

Step-by-step explanation:

We are given that

13,5,4,9,7,14,4

We have to find the deviation.

Mean= $\frac{sum\;of\;data}{total\;number\;of\;data}$

Using the formula

$Mean,\mu=\frac{13+5+4+9+7+14+4}{7}$

$Mean,\mu=\frac{56}{7}=8$

Deviation= $x_i-\mu$

$x_i-\mu$

13 5

5 -3

4 - 4

9 1

7 -1

14 6

4 - 4

Hence, option B is correct.

7 0

2 years ago