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2 years ago

Which of the following is not a linear equation

Mathematics

1 answer:

nata0808 [166]2 years ago

4 0

Answer:

A pair of linear equations which has a unique solution x = 2, y = –3 is

a) x – 4y –14 = 0

5x – y – 13 = 0

b) 2x – y = 1

3x + 2y = 0

c) x + y = –1

2x – 3y = –5

d) 2x + 5y = –11

4x + 10y = –22

Step-by-step explanation:

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3 years ago

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3 years ago

Help me out please and thank you

faust18 [17]

<h3>Answer: 1</h3>

========================================================

Explanation:

We're given the height in relation to base BC, so we need to find the length of this base. This is the same as finding the distance from B to C.

Turn to the distance formula

$d = \text{Distance from B to C}\\\\d = \sqrt{(x_1-x_2)^2+(y_1-y^2)^2}\\\\d = \sqrt{(-2-(-3))^2+(-1-(-2))^2}\\\\d = \sqrt{(-2+3)^2+(-1+2)^2}\\\\d = \sqrt{(1)^2+(1)^2}\\\\d = \sqrt{1+1}\\\\d = \sqrt{2}\\\\$

Coincidentally, the base and height are the same. This won't always be the case.

Now we can find the area of the triangle

$A = \text{Area of triangle}\\\\A = \frac{1}{2}*\text{Base}*\text{Height}\\\\A = \frac{1}{2}*\sqrt{2}*\sqrt{2}\\\\A = \frac{1}{2}*\sqrt{2*2}\\\\A = \frac{1}{2}*\sqrt{4}\\\\A = \frac{1}{2}*2\\\\A = 1\\\\$

The area of the triangle is 1 square unit.

See diagram below.

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