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3 years ago

I need help asap. I don’t know how to do this

Mathematics

1 answer:

irga5000 [103]3 years ago

7 0

Answer:

10 in

Step-by-step explanation:

There are two ways to work this problem, and they give different answers. The reason for that is that the data shown in the diagram is not consistent.

Method 1

Use the area to determine the base length. The area formula is ...

A = (1/2)bh

20 in^2 = (1/2)(b)(4 in)

(20 in^2)/(2 in) = b = 10 in

The missing side dimension is 10 inches.

Method 2

Use the Pythagorean theorem to find the parts of the base, then add them up.

Left of the "?" we have ...

left^2 +4^ = 6^

left^2 = 36 -16 = 20

left = √20 = 2√5

Right of the "?" we have ...

right^2 +4^2 = 8^2

right^2 = 64 -16 = 48

right = √48 = 4√3

So, the base length is ...

base = left + right = 2√5 +4√3

base ≈ 11.400 in

The missing side dimension is 11.4 inches. (The area is 22.8 in^2.)

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Answer:

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2 years ago

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Step-by-step explanation:

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3 years ago

When solving the system of equations by graphing, what is the solution of 3x + 2y = 2 and 2x – y=6?

oksian1 [2.3K]

Answer:

answer B: (2,-2)

Step-by-step explanation:

First, write the equations on top of each other:

$3x+2y=2\\2x-y=6$

Then, multiply the the second equation by 2 so that we can use elimination of the y-variable:

$3x+2y=2\\2(2x-y)=2(6)\\\\3x+2y=2\\4x-2y=12$

Next, use elimination to find the value of "x":

$3x+2y=2\\+(4x-2y=12)\\\\7x+0=14\\7x=14\\\frac{7x}{7}=\frac{14}{7}\\x=2$

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With all your information gathered, you find that the solution to this system of equation is (2,-2).

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3 years ago