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Norma-Jean [14]
3 years ago
6

Find the equation, in standard form, of the line passing through the points (3,-4) and (5,1)

Mathematics
1 answer:
Musya8 [376]3 years ago
4 0
(3,-4)(5,1)
slope = (1 - (-4) / (5 - 3) = (1 + 4) / 2 = 5/2

y = mx + b
slope(m) = 5/2
use either of ur points (5,1)...x = 5 and y = 1
now we sub and find b, the y int
1 = 5/2(5) + b
1 = 25/2 + b
1 - 25/2 = b
2/2 - 25/2 = b
-23/2 = b

so ur equation is y = 5/2x - 23/2...but we need it in standard form

y = 5/2x - 23/2...subtract 5/2x from both sides
-5/2x + y = -23/2....multiply everything by -2
5x - 2y = 23 <== standard form
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Step-by-step explanation:

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Firstly, move everything on the left except the y to the right.i.e.

y = 6 - 2x

Secondly, rearrange the values on the right to look just like the general equation.

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3 0
3 years ago
42.1% of 375.4 =
igomit [66]
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7 0
3 years ago
Monica deposits ​$300 into a savings account that pays a simple interest rate of 3.9​%. Paul deposits ​$400 into a savings accou
tiny-mole [99]

Answer:

monica because with 3.4 % that is more than 2.3% and that is what they want to know so its monica

Step-by-step explanation:

The formula for calculating simple interest is given by :

S.I = \frac{ptr}{100}

For Monica

S.I = 300 x 3.4 x 1 / 100

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For Paul

S.1 = 400 x 2.4 x 1 / 100

S.I = $9.6

Therefore : Monica earned more interest

Monica's intrest rate is 1,224 and paul's is 840 so it would be monica.

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4 0
2 years ago
Prove that the point joining the midpoint of any side of a triangle is half the third side​
Nataly [62]

Answer:

We conclude that the line joining the mid-point of two sides of a triangle is equal to half the length of the third side. The converse of this theorem states: If a line is drawn through the mid-point of a side of a triangle parallel to the second side, it will bisect the third side.

Hope this helped you! :)

5 0
3 years ago
What is the surface area of a cylinder with base radius 4 and height 5?
seropon [69]

Answer:

Solution given:

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=<u>72πunits³ is a required volume.</u>

7 0
2 years ago
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