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3 years ago

Find the slope using thetwo points (9, 3) and (15, -1)

Mathematics

1 answer:

Nutka1998 [239]3 years ago

7 0

Answer:

-2/3

Step-by-step explanation:

The formula for slope is y2-y1/x2-x1. Plug in those values to get -1-3/15-9. Doing the math then gets us -4/6. -4/6 simplifies to 2/3

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Please help. I do not understand. Thank you!

nasty-shy [4]

y/x so -3/5 = y/-1

...cross multiply

3 = 5y

...divide by 5

3/5 = y

8 0

3 years ago

Prove that: (a2 - b2)3 + (b2-c2)3+ (c2-a2)3 = 3 (a+b) (b+c) (c+a) (a-b) (b-c) (c-a).

Vanyuwa [196]

$L=(a^2-b^2)^3+(b^2-c^2)^3+(c^2-a^2)^3=(*)\\\\(a^2-b^2)^3=a^6-3a^4b^2+3a^2b^4-b^6\\\\(b^2-c^2)^3=b^6-3b^4c^2+3b^3c^4-c^6\\\\(c^2-a^2)^3=c^6-3c^4a^2+3c^2a^4-a^6\\\\(*)=a^6-3a^4b^2+3a^2b^4-b^6+b^6-3b^4c^2+3b^2c^4-c^6+c^6-\dots\\\dots-3c^4a^2+3c^2a^4-a^6\\\\=-3a^4b^2+3a^2b^4-3b^4c^2+3b^2c^4-3c^4a^2+3c^2a^4\\\\=3(-a^4b^2+a^2b^4-b^4c^2+b^2c^4-a^2c^4+a^4c^2)$

$R=3(a+b)(a-b)(b+c)(b-c)(c+a)(c-a)\\\\=3(a^2-b^2)(b^2-c^2)(c^2-a^2)\\\\=3(a^2b^2-a^2c^2-b^4+b^2c^2)(c^2-a^2)\\\\=3(a^2b^2c^2-a^4b^2-a^2c^4+a^4c^2-b^4c^2+a^2b^4+b^2c^4-a^2b^2c^2)\\\\=3(-a^4b^2+a^2b^4-b^4c^2+b^2c^4-a^2c^4+a^4c^2)\\\\L=R$

5 0

3 years ago

Read 2 more answers

Add 34+(−212) using the number line. Select the location on the number line to plot the sum.

Korvikt [17]

Answer:

Answer is explained below in the explanation section.

Step-by-step explanation:

Solution:

For this question, we need to have a number line, we can not make the number line here. As it will be very long. Instead, I have attached a number line from -11 to +11 for your understanding and explained it below. Please refer to the attachment below for the number line.

Number Line:

A number line is a line which contains all the numbers from negative infinity to positive infinity divided by a single number zero. It has two sides, left hand side and right hand side. A side left to zero contains all the negative numbers and a side right to 0 contains, all the positive numbers.

So,

We are asked to add 34 in (-212), we will get 178 but with the negative sign, and it will lie on the left hand side of the number line.

SO,

34 + (-212) = 34 - 212 = -178

Hence,

Our sum which is 178 will lie on the left hand side of the number line.

4 0

3 years ago

Slope intercept form

Bess [88]

Y=mx+b is what I learned and point slope is y-y1=m*x-x1

4 0

3 years ago

a travel agency charges $64 for each bus ticket and $82 for each train ticket. how much does it cost to buy 3 bus tickets and 4

jekas [21]

520 dollars for 4 train tickets and 3 bus tickets.

6 0

3 years ago

Find the slope using thetwo points (9, 3) and (15, -1)​

Find the slope using thetwo points (9, 3) and (15, -1)