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3 years ago

What are the x and y-intercepts of the line?

Mathematics

1 answer:

natta225 [31]3 years ago

4 0

Answer:

Step-by-step explanation:

To find the y-intercept, plug in x=0 in the original equation. (You want to find what y is when x=0)

2x + 3y = -12

2(0) + 3y = -12 (Plug in x=0)

3y = -12 (2*0=0, so you can ignore that part)

y = -4 (Divide both sides by 3)

This narrows down our choices to either A or B.

To find the x-intercept, plug in y=0 into the original equation. (You want to find what x is when y=0)

2x + 3y = -12

2x + 3(0) = -12 (Plug in y=0)

2x = -12 (3*0=0, so you can ignore that part)

x = -6 (Divide both sides by 2)

If our x intercept is -6 and our y intercept is -4, that makes our answer B.

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(15 points)

Maslowich

Answer:

Each of the legs of isosceles right triangle is 5 $\sqrt{3}$

Step-by-step explanation:

Watch the attached figure for the isosceles right angled triangle

Looking at the figure we see that AB=5√6 and BC=CA

According to the Pythagorean theorem the square of the hypotenuse is equal to the sum of the squares of the other two sides of a right triangle.

1) Applying the Pythagorean theorem to the isosceles right triangle, we have

$BC^{2} + CA^{2} = AB^{2}$

2) Let BC=a and CA=a as they both are equal

So,

$a^{2} + a^{2} = (5\sqrt{6} )^{2}$

=> $2a^{2} = (5\sqrt{6} )(5\sqrt{6} )$

=> $2a^{2} = 5*5*\sqrt{6}*\sqrt{6}$

=> $2a^{2} = 25*6$ (since √6*√6 = (√6)²= 6)

=> $2a^{2} = 150$

3) Dividing both sides by 2, we get

$\frac{2a^{2} }{2} =\frac{150}{2}$

4) Cancelling out the 2's on the left, we get

$a^{2}$ = 75

5) Taking the square root on both sides, we have

$\sqrt{a^{2}} = \sqrt{75}$

=> a = 5 $\sqrt{3}$

So,

Each of the legs of isosceles right triangle is 5 $\sqrt{3}$

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3 years ago

A couple lives in Florida for 1/3 of the year. Each year has 12 months. What fraction of a year, in twelfths, does the couple no

zhenek [66]

Answer:

4/12

Step-by-step explanation:

plz give me a brainlies

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2 years ago

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