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Gnesinka [82]
3 years ago
12

Determine the equation of the line passing through the points (3,1) and (5,−1).

Mathematics
1 answer:
katrin [286]3 years ago
5 0

Answer:

y=-x+4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-1)/(5-3)

m=-2/2

m=-1

y-y1=m(x-x1)

y-1=-1(x-3)

y-1=-x+3

y=-x+3+1

y=-x+4

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Dafna1 [17]

Answer:

~14.14m.

espero que esto ayude :)

5 0
4 years ago
How many ways are there to select five unordered elements from a set with three elements when repetition is allowed?
Zolol [24]

The number of ways or permutations to select five unordered elements from a set with three elements when repetition is allowed is 243.

According to the given question.

The total number of elements, n = 3

The number of elements to be selected at a time when repetition is  allowed, r = 5

Since, we know that " the number of ways or permutations of n things taken r all at a time, when repetition of things are allowed, is n^{r}.

Therefore,

The number of ways or permutations to select five unordered elements from a set with three elements when repetition is allowed

= 3^{5}

= 243

Hence, the number of ways or permutations to select five unordered elements from a set with three elements when repetition is allowed is 243.

Find out more information about permuations here:

brainly.com/question/13833229

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3 0
1 year ago
During an auto accident, the vehicle's air bags deploy and slow down the passengers more gently than if they had hit the windshi
Amanda [17]

solution:

maximum acceleration produce by bag =60 g

time to come to stop = 36 ms

applying equation

V=u-at

inserting values

0=u-(60)(36*10^-^3)

u=(600*36)/1000=21.6 m/s\\

now to find distance of penctration:

S=ut-1/2at^2

inserting values

S= (21.6)(36*10^-^3)-1/2(600)(0.036)^2

S=0.38m

hence distance traveled by person before coming to rest is 0.38 m

5 0
3 years ago
Antonio has 150 baseball cards. He decided to give you 32% of his cards to you. How many cards did he give you?
tankabanditka [31]

Answer:

He gave you 48 cards.

Step-by-step explanation:

150 * 32% (which is also 0.32) is equal to 48.

8 0
4 years ago
Read 2 more answers
Solve each equation by completing the square <br> 6) m² + 16m – 8 = 0
Natali5045456 [20]

Answer:

m = - 8 ± 6\sqrt{2}

Step-by-step explanation:

Given

m² + 16m - 8 = 0 ( add 8 to both sides )

m² + 16m = 8

To complete the square

add ( half the coefficient of the m- term )² to both sides

m² + 2(8)m + 64 = 8 + 64

(m + 8)² = 72 ( take the square root of both sides )

m + 8 = ± \sqrt{72} = ± \sqrt{36(2)} = ± 6\sqrt{2}

Subtract 8 from both sides

m = - 8 ± 6\sqrt{2}

3 0
4 years ago
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