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Cloud [144]
3 years ago
9

Find the slope of the line passing through the two points: (1, -2) and (-3, -7)

Mathematics
2 answers:
GarryVolchara [31]3 years ago
6 0

Answer:

5/4

Step-by-step explanation:

nadezda [96]3 years ago
6 0

Answer:

slope = 1.25

Step-by-step explanation:

use the formula

m=rise/run or m=y_{2} - y_{1} / x_{2} - x_{1}

-7-(-2)/(-3)-1

= 5/4 (or 1.25)

hope this helps :)

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5

Step-by-step explanation:

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sergey [27]

Answer:

Sam owes 4 friends $5

Step-by-step explanation:

We can set up the equation

23 = 5x + 3

Subtract the 3 from both sides

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7 0
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Help me out please and thank you
faust18 [17]
<h3>Answer: 1</h3>

========================================================

Explanation:

We're given the height in relation to base BC, so we need to find the length of this base. This is the same as finding the distance from B to C.

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d = \text{Distance from B to C}\\\\d = \sqrt{(x_1-x_2)^2+(y_1-y^2)^2}\\\\d = \sqrt{(-2-(-3))^2+(-1-(-2))^2}\\\\d = \sqrt{(-2+3)^2+(-1+2)^2}\\\\d = \sqrt{(1)^2+(1)^2}\\\\d = \sqrt{1+1}\\\\d = \sqrt{2}\\\\

Coincidentally, the base and height are the same. This won't always be the case.

Now we can find the area of the triangle

A = \text{Area of triangle}\\\\A = \frac{1}{2}*\text{Base}*\text{Height}\\\\A = \frac{1}{2}*\sqrt{2}*\sqrt{2}\\\\A = \frac{1}{2}*\sqrt{2*2}\\\\A = \frac{1}{2}*\sqrt{4}\\\\A = \frac{1}{2}*2\\\\A = 1\\\\

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See diagram below.

5 0
3 years ago
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coldgirl [10]

Answer:

The student should charge $210 for typing the paper ⇒ answer C

Step-by-step explanation:

* Lets explain how to solve the problem

- The rate of the student's typing is 50 words per minute

- The students charges twenty dollars per hour to type the college

 papers

- There is a paper contains 31,500 words

- We want to now how much the student should charge for it

* At first lets find his rate per hour

∵ 1 hour = 60 minutes

∴ 1 minute = 1/60 hours

∵ His rate = 50 words / 1 minute

- Lets change the minute to hour

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* Lets find the time he needs to finish the paper

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∵ Time = The number of words ÷ his rate of typing

∵ his rate is 3000 words per hour

∴ Time = 31,500 ÷ 3000 = 10.5 hours

∴ He needs 10.5 hours to finish the paper

∵ He charges $20 per hour

∵ The time to finish the paper is 10.5 hours

∵ The price of typing the paper = the charge per hour × number

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∴ The price of typing the paper = 20 × 10.5 = 210

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