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chubhunter [2.5K]
3 years ago
15

What Is 4x+6y=48 and what is the general form and x intercept and y intercept and slope and factored form?

Mathematics
1 answer:
Vladimir [108]3 years ago
4 0

Given equation : 4x+6y=48 .

The general form of the linear equation is ax +by =c.

The given equation is already in general form.

Let us find x-intercept.

Plugging y =0 in given equation.

4x+6(0)=48 .

4x +0 = 48

4x = 48

Dividing both sides by 4, we get

4x/4 = 48/4

x = 12.

<h3>Therefore, x-intercept is (12,0).</h3>

Let us find y-intercept.

Plugging x =0 in given equation.

4(0)+6y=48 .

6y = 48

Dividing both sides by 6, we get

6y/6 = 48/6

y = 8.

<h3>Therefore, y-intercept is (0,8).</h3>

Let us convert given equation in slope-intercept form y=mx+b.

4x+6y=48

Subtracting 4x from both sides, we get

4x-4x+6y=48-4x

6y = -4x+48

Dividing both sides by 6, we get

6y/6 = -4x/6+48/6

y = -2/3 x +8.

<h3>Therefore, slope is -2/3.</h3>

Let us find factored form now.

GCF of the given linear equation is 2.

Factoring out 2 in all term, we get

3(2x+3y=24)

That is factored form.


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Right triangle ABC is similar to right triangle DEF. If the side lengths for triangle ABC are 15, 20, 25, respectively, which va
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Answer:

A = 15   B = 20   C = 25

D = 30   E = 40   F = 50

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Step-by-step explanation:

Given

Similar Triangles: ABC and DEF

A = 15

B = 20

C = 25

Required

Determine the sides of DEF

No options were given, so I will solve on a general terms.

Since both triangles are similar, then the following relationship exists.

DEF = ABC * n

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So, we have:

D = A * n    

D =15 *2

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E = B * n    

E = 20 * 2

E = 40

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F = 25 * 2

F = 50

Assume n = \frac{1}{5}.

So, we have:

D = A * n    

D =15 *\frac{1}{5}

D = 3

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So

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