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3 years ago

Find the x and y intercepts for the equation 2x + 7y = 42.

Mathematics

1 answer:

o-na [289]3 years ago

6 0

Answer:

see explanation

Step-by-step explanation:

Given

2x + 7y = 42

To find the x- intercept let y = 0 in the equation and solve for x

2x + 7(0) = 42, that is

2x = 42 ( divide both sides by 2 )

x = 21 ← x- intercept or (21, 0 )

To find the y- intercept let x = 0 in the equation and solve for y

2(0) + 7y = 42 , that is

7y = 42 ( divide both sides by 7 )

y = 6 ← y- intercept or (0, 6 )

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irina [24]

Answer:

$12\sqrt{3}$ feet

Step-by-step explanation:

In a 30-60-90 triangle, the ratios of the side lengths of the triangle is $1:\sqrt{3} :2$

Where 1 is the shortest leg, root(3) is the longer leg, and 2 is the hypotenuse.

First we can set x equals to the length of the original pole, and so the shorter leg has a length of x/3 and using the ratio of side lengths, we can find that:

$\frac{x}{3} * \sqrt{3} = \frac{\sqrt{3} x}{3} = 12$

Solving for x, we find that

$x=\frac{36}{\sqrt{3} } = \frac{36 * \sqrt{3} }{\sqrt{3} * \sqrt{3} } = \frac{36 \sqrt{3} }{3} = 12\sqrt{3}$

So the length of the original pole would be $12\sqrt{3}$ feet

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2 years ago

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photoshop1234 [79]

Answer:

Step-by-step explanation:

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