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OleMash [197]
3 years ago
11

What is the slope of the line that passes through (8,4) and (6,7)?

Mathematics
1 answer:
bija089 [108]3 years ago
4 0
slope=\frac{y_2-y_1}{x_2-x_1}\\\\ 
(x_1,y_1)=(8,4)\\ 
(x_2,y_2)=(6,7)\\\\
 slope=\frac{7-4}{6-8}=\frac{3}{-2}=-\frac{3}{2}\\\\
Slope\ is\ equal\ to\ -\frac{3}{2}.

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There are 16 tables in the school lunch room each table can seat 22 students. How many students can be seated at lunch at one ti
Alexandra [31]
352 . If you multiply 16 by 22 it will give u an answer of 352
8 0
3 years ago
Read 2 more answers
Given a geometric sequence in the table below, create the explicit formula and list any restrictions to the domain.
Makovka662 [10]

Given:

The geometric sequence is:

n              a_n

1                        -4

2                      20

3                     -100

To find:

The explicit formula and list any restrictions to the domain.

Solution:

The explicit formula of a geometric sequence is:

a_n=ar^{n-1}            ...(i)

Where, a is the first term, r is the common ratio and n\geq 1.

In the given sequence the first term is -4 and the second term is 20, so the common ratio is:

r=\dfrac{a_2}{a_1}

r=\dfrac{20}{-4}

r=-5

Putting a=-4,r=-5 in (i), we get

a_n=-4(-5)^{n-1} where n\geq 1

Therefore, the correct option is B.

5 0
3 years ago
Rewrite in simplest terms:
tangare [24]

Answer:

If one −5s−7(8s−1): -61s+7

If two −5s−7(8s−1): -112s+14

Step-by-step explanation:

-5s-7(8s-1)

Multiply -7 onto 8s and -1:

-5s-56s+7

add -5s and -56s:

-61s+7

−5s−7(8s−1)−5s−7(8s−1)

Multiply both -7 to 8s and -1

-5s-56s+7-5s-56s+7

add:

-112s+14

6 0
3 years ago
How many different​ three-digit numbers can be formed using the digits 1 comma 2 comma 9 comma 6 comma 4 comma 3 comma and 8 wit
lozanna [386]

Answer:

129 468  

Step-by-step explanation:

I'm not sure if you're supposed to reuse the same numbers just in a different Three digit number. Or if you're supposed to use the number one time and one time only. But if not here's there's some numbers that you could use

He basically all You have to do Is take the numbers and turning them into three digit numbers Without repetition.

Hope this helps you!

Also it's saying that 664 is not allowed Because it they are reusing the six When there's no Extra six to use. So remind you not to use the same number twice!

3 0
3 years ago
Mary has 60 candy pieces and 45 chocolates. She wants to distribute the candy to her little sister's friends at her birthday par
Anna11 [10]

Answer:

5 friends

Step-by-step explanation:

Candy pieces = 60

Chocolate = 45

What should be the smallest number of her sister's friends for the distribution of candy and chocolate so each friend gets an equal number of candy pieces and chocolates in a way that there should not be left any chocolate or candy pieces left over?

To calculate this, find the lowest factor of 60 and 45

60:

Factors = 2, 4, 5, 6,

45:

Factors= 3, 5, 9

The lowest common factor of 60 and 45 is 5

The smallest number of her sister's friend so each person get an equal number of candy pieces and chocolate so there won't be any leftover is 5

That is

If there are 5 friends at the birthday party

60 candy pieces among 5 friends

= 60/5

= 12 pieces each

45 chocolate among 5 friends

= 45/5

= 9 each

6 0
3 years ago
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