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Zielflug [23.3K]
3 years ago
5

Write the equation of a line that goes through (5,3) and is parallel to the line y=2x+7

Mathematics
1 answer:
oee [108]3 years ago
8 0

Answer:

y = 2x - 7

Step-by-step explanation:

Parallel lines have the same slope, so the line will also have a slope of 2

Plug in the slope and given point into y = mx + b to solve for b:

y = mx + b

3 = 2(5) + b

3 = 10 + b

-7 = b

Then, plug in the slope and b into y = mx + b

y = 2x - 7 is the equation of the line

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Isosceles triangle, perimeter if the perimeter of isosceles triangle abc is 20 and the length of side ac is 8, what is one possi
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The perimeter = 20 and AC = 8

Now as it is not mentioned which sides are equal of the isosceles triangle ABC,

We have two possible situations.

1)

If AC is the base

In that case AB = BC

Now AC = 8, AB = x , BC = x

So x + x + 8 = 20

2x + 8 = 20

2x = 12

x = 6

AB = BC = 6

2)

IF AC is not the base,

Then

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So BC = 8 or AB = 8

If AB = AC = 8

Then

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So there are two possible lengths of BC

Either it is BC = 8 or BC = 6 or BC = 4

The figure is attached for your reference.


5 0
3 years ago
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