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3 years ago

Which is the slope of a line through the points (-1, 2) and (5, 8)?

Mathematics

1 answer:

stepan [7]3 years ago

5 0

Answer:

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (5, 8 )

m = $\frac{8-2}{5+1}$ = $\frac{6}{6}$ = 1 → A

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HELP QUICK ME QUICK PLEASE THANKS

GenaCL600 [577]

To solve this problem, we need to know the formula for the nth term of an arithmetic sequence. The formula is $a_{n}$ = t₁ + (n-1)d, with $a_{n}$ being the nth term, t₁ being the first term, and d being the distance between terms. Now we can substitute values to figure out what $a_{n}$ is. When substituting, the equation becomes:

$a_{n}$ = 12 + 29(-6)
$a_{n}$ = -162

That means that the 30th term in this arithmetic sequence is -162.

8 0

3 years ago

Read 2 more answers

Solve the system by substitution -x - y - z= -8 -4x + 4y + 5z = 7 2x + 2z = 4

Stella [2.4K]

First:

2x + 2z = 4

2(x+z)=4

x+z=4/2

x=2-z

-x - y - z= -8

-(2-z)-y-z= -8 replace x

-2+z-y-z= -8 (cancel z)

-2-y= -8

6 = y

Then:

-4x + 4y + 5z = 7 replace x and y

-4(2-z)+4*6 + 5z = 7

-8 + 4z + 24 + 5z = 7

16 + 9z = 7

9z = 7 - 16

9z = -9

z = -9/9

z= -1

Finally

x= 2-z replace z

x = 2- (-1)

x = 3

5 0

3 years ago

2 MIDDLE SCHOOL QUESTIONS

vredina [299]

Answer:

The answer to number 1 is c the answer to number 2 is c

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Avery and Caden have saved $27,000 towards a down payment on a house. They want to keep some of the money in a bank account that

AfilCa [17]

Answer:

They should put $6750 in the bank account and $20,250 in the stock fund.

Step-by-step explanation:

Consider the provided information that Avery and Caden have saved $27000.

Let x is the money deposit in the bank and y is the money deposit in stock fund.

Therefore,

x + y = 27000

x = 27000 - y

The bank account will pay 2.4% annual interest.

$\frac{2.4}{100}x+x=1.024x$

Stock fund pays 7.2% annual interest.

$\frac{7.2}{100}y+y=1.072y$

Therefore,

1.024 x + 1.072 y = 1.06 × 27000

Substitute the x = 27000 - y in above equation.

1.024 (27000 − y) + 1.072 y = 1.06 × 27000

27648 − 1.024 y + 1.072 y = 28620

0.048 y = 28620-27648

0.048 y = 972

y = 20250

Now, substitute the y = 20250 in x = 27000 - y.

x = 27000 − 20250

x = 6750

Hence, they should put $6750 in the bank account and $20,250 in the stock fund.

7 0

3 years ago

An office supply warehouse has large boxes of folders. Each box has 550 folders. How many folders are there in 23 boxes?

alexandr1967 [171]

Step-by-step explanation:

take

5501

- 23

_____

12,650 folders.

3 0

2 years ago