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pychu [463]
3 years ago
12

On a coordinate plane, a line goes through (negative 3, 2) and (0, 1). A point is at (3, 4).

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
4 0

Answer:

y = 3x - 5

Step-by-step explanation:

Points on given line: (-3, 2), (0, 1)

m1 = slope of given line; m = slope of perpendicular

Slope of given line = m1 = (y2 - y1)/(x2 - x1) = (2 - 1)/(-3 - 0) = 1/(-3) = -1/3

The slopes of perpendicular lines have a product of -1.

m1 * m = -1

-1/3 * m = -1

m = 3

Slope of perpendicular: m = 3

Point on perpendicular: (3, 4)

y - y1 = m(x - x1)

y - 4 = 3(x - 3)

y - 4 = 3x - 9

y = 3x - 5

Answer: y = 3x - 5

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The set M represents multiples of 4 from 6 to 38. M=8,12,16,20,24,28,32,36 The set N represents even numbers from 4 to 13. N=4,6
Tomtit [17]

Answer:

The correct option is B. 2

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Step-by-step explanation:

Given:

M is a set of multiples of 4 from 6 to 38

i.e M = { 8, 12, 16, 20, 24, 28, 32,36 }

N is a set of even numbers from 4 to 13

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To Find:

M⋂N  = ?

Solution:

Set:

A set is a well-defined collection of distinct objects, considered as an object in its own right.

Examples :

M is a set of multiples of 4 from 6 to 38

i.e M = { 8, 12, 16, 20, 24, 28, 32,36 }

N is a set of even numbers from 4 to 13

i.e N = { 4, 6, 8, 10, 12 }

M⋂N  = set of those numbers which are present in M as well as in N

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8 0
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A map has the scale of 1:50000
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Answer:

The two triangles would be similar.

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1. Given vertices of the triangle,

(0, 0), (1, 3) and (2, 1)

By multiplying each coordinate of the vertices by 3,

We obtain the triangle having vertices,

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draw the points in coordinates plan and join them by straight line,

We observed that triangles are similar.

2.  Given vertices of the triangle,

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4 years ago
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