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jolli1 [7]
4 years ago
14

Find an equation of the line that passes through the given points. (let x be the independent variable and y be the dependent var

iable.) (3, 1) and (4, 4)

Mathematics
1 answer:
Makovka662 [10]4 years ago
5 0

The 2-point form of the equation for a line can be used.

... y = (y₂-y₁)/(x₂-x₁)·(x -x₁) +y₁

Filling in the given information, you have

... y = (4-1)/(4-3)·(x-3) +1 . . . . an equation for the line

... y = 3x -8 . . . . . . . . . . . . . . simplified to slope-intercept form

... 3x -y = 8 . . . . . . . . . . . . . .. rearranged to standard form

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Gerri spends 9/22 of her money on pencils and 2 22 on paper. What fraction of her money does she spend? Write your answer in sim
NNADVOKAT [17]

Answer:

1/2

Step-by-step explanation:

To find out how much money Gerri spent, add up the two fractions.

(9/22) + (2/22) = (11/22)

(11/22) can then be simplified to (1/2).

7 0
4 years ago
Barry is trying to calculate the distance between point E(3, 1) and point F(4, 7). Which of the following expressions will he us
Masteriza [31]
Barry will use the distance formula:
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
d = √[(4 - 3)² + (7 - 1)²]
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7 0
3 years ago
Read 2 more answers
Using numbers, variables and symbols, write an expression that describes the following The sum of 12 and three times a number ,
lys-0071 [83]

Answer:

12=3n

Step-by-step explanation:

Starting with "the sum 12" that means it equals 12 so, 12 = Something.

And three times a number, N would look like this ; 3n.

So the sum of 12- 12 = , three times a number n

12=3n

5 0
4 years ago
Why does the quotient of 8 ÷ 1 not change when we add a place value in the dividend and the divisor to make 80 ÷ 10?
Alex Ar [27]

Answer:

Basically this is because division can be thought of as how many times does the divisor have to be multiplied in order to produce the dividend.

So you would need to multiply 1 8 times in order to produce the dividend,

Similarly, 10 goes into 80 8 times. The zeros are simply cancelled out in the division.

4 0
3 years ago
A firm places three orders for supplies among five different distributors. Each order is randomly assigned to one of the distrib
Whitepunk [10]

Answer:

a) 12/25

b) 1/25

c) 12/25

Step-by-step explanation:

a) The first order can go anywhere, so it has 5 possibilities out of 5. The second order can go to any distributor except the one that got the first order, so it has 4 possibilities out of 5. The third order may go to any of the 3 remaining distributors, giving us 3 chances out of 5. So the probability is 5/5*4/5*3/5 = 12/25

b) The first order, again, can go anywhere, so it has 5 out of 5. The second and third order have to go to the same distributor, so, in each case, we have only 1 option available out of 5. The probability of this event is 5/5*1/5*1/5 = 1/25

c) This event is the complementary event of the union of the other 2 events the exercise has. If neither the same distributor got all 3 orders non all orders go to different distributors, then necessarily one distributor should got 2 orders and other 1. The probability of this event is, therefore 1-12/25-1/25 = 12/25.

8 0
4 years ago
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