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2 years ago

WILL GIVE 50+ POINTS! Which is the graph of the linear equation 3x – 4y = –12?

Mathematics

2 answers:

Inga [223]2 years ago

7 0

Answer: look up graphing calculator on google (Desmos) and type in that equation. it should show u the graph

muminat2 years ago

7 0

Answer:

y= -3+ 3/4x

Step-by-step explanation:

you move 3x to the other side of the equation by subracting making it -4y= -12 -3x. then you divide everything by -4 (because it’s the number in front of the Y) to get Y= -3 + 3/4x .

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<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.

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

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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