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2 years ago

1. Find the slope of the line that goes through the given points. (-7, 6), (-7, -9)

Mathematics

2 answers:

Rama09 [41]2 years ago

7 0

This is a vertical line. Therefore, the slope of it is undefined

zvonat [6]2 years ago

3 0

The Slope would be the change in y over the change in x, or in simpler terms, rise over run. That would make it -15/0 and you cannot divide by 0, making it an undefined line.

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1. L(15. 1) is the midpoint of the straight line joining point (p. - 2) to point D(-1. q) find p and q.

kkurt [141]

1. The values of p and q are: p=31 and q= 4

2. B(11, 29/5)

Further explanation:

<u>1. L(15. 1) is the midpoint of the straight line joining point (p. - 2) to point D(-1. q) find p and q.</u>

Given:

M = (15. 1)

(x1, y1) = (p, -2)

(x2, y2) = (-1, q)

The formula for mid-point is:

$(\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2}) = M \\Putting\ the\ values\\(\frac{p-1}{2} , \frac{-2+q}{2}) = (15,1)\\Putting\ realtive\ values\ equal\\\frac{p-1}{2} = 15\\p-1 = 15(2)\\p-1 = 30\\p = 30+1\\p = 31\\\frac{-2+q}{2} =1\\-2+q = 2(1) \\-2+q = 2\\q = 2+2 \\q =4$

Hence,

p=31

q=4

<u>2. M is the midpoint of the straight line joining point A (3. 1/5) to point B.If m has coordinates (7. 3), find the coordinates of B.</u>

Here,

(x1,y1) = (3, 1/5)

(x2, y2) = ?

M(x,y) = (7,3)

Putting values in the formula of mid-point

$(\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2}) = M\\(\frac{3+x_2}{2} , \frac{1/5+y_2}{2}) = (7,3)\\\frac{3+x_2}{2} = 7\\3+x_2 = 7*2\\3+x_2 = 14\\x_2 = 14-3\\x_2 = 11\\\frac{\frac{1}{5}+y_2}{2} = 3\\{\frac{1}{5}+y_2} = 3*2\\{\frac{1}{5}+y_2} = 6\\y_2 = 6 - \frac{1}{5}\\y_2 = \frac{30-1}{5}\\y_2 = \frac{29}{5}$

So, the coordinates of point B are (11, 29/5) .

Keywords: Finding mid-point, Finding coordinates through mid-point

Learn more about coordinate geometry at:

#LearnwithBrainly

6 0

2 years ago

The speed of the jet Alyssa flew on from Boston to London was 480

nadezda [96]

Alyssa's average speed on the round trip is 540 Mies per hour.

We have given,

The speed of the jet Alyssa flew on from Boston to London was 480

mph.

On her return flight, the speed of the jet was 600 mph with a tail

wind.

<h3>What is the average speed?</h3>

$average speed=\frac{a+b}{2}$

a=inital speed

b=final speed

add 600 and 480 then divide by 2

That can be given by

$=\frac{600+480}{2}\\\\=\frac{1080}{2}\\\\=540$

Alyssa's average speed on the round trip is 540mph.

To learn more about the average speed visit:

brainly.com/question/4931057

4 0

1 year ago

Read 2 more answers

You are given the

r-ruslan [8.4K]

Answer:

1.→n=15

2.→n=0

Step-by-step explanation:

The two expressions given are

⇒A number is said to be rational if it can be expressed in the form of , where ,q≠0.And it's decimal expansion will be either terminating or non terminating repeating.

We have to find smallest value of n, for which each of these two expressions will be rational.

So, 1.→n=15

and 2.→n=0

Have a nice day! -Alpha

Step-by-step explanation: ;)

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2 years ago

You your driving from Austin to Houston with a constant speed of 120km/hr (75 mph). After 1.5 hr you stop for 0.5 hr. Then you c

Aneli [31]

Answer:

Step-by-step explanation:

i'm just hear to get points sorry

7 0

2 years ago

Please help!! Geometry problem!

Vika [28.1K]

A pentagon, 5 sides, all internal angles add up to 720°, so wen u do the maths, X=5

4 0

2 years ago