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2 years ago

8a - 4b = 205a - 8b = 62What are the values of a and b?

Mathematics

1 answer:

erastovalidia [21]2 years ago

7 0

Answer:

a=2 , b= (-1)

Step-by-step explanation:

8a-4b=20/×(-2)

5a-8b=62

-16a+8b= -40

5a-8b=62

now -8+8=0 right? so the only parameter that we have is a.

-16a+5a= -40+62

11a = 22/(÷11)

a=2

in order to find b, we will replace a with its value in one of the original equations (it doesn't matter which one you will choose).For instance, I chose the first one.

8×2-4b=20

-4b=20-16

-4b=4/÷(-4)

b= -1

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3 years ago

The venticles of a right angle are a[0,4], b[3,-2] c[-3, -4] Find It's area.

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Answer:

The area of this triangle is about 21.2132 square units.

Step-by-step explanation:

First, find the lengths of the legs AB and BC.

Length of AB ===

Find the difference in position vertically:

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The points are 6 units apart vertically.

Find the difference in position horizontally:

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The points are 3 units apart horizontally.

These lengths form a right triangle with the distance between the points as the hypotenuse, so you can use the pythagorean theorem to solve:

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Same process as above.

Find the vertical distance:

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Find the horizontal distance:

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Use the pythagorean theorem:

$2^2+6^2=c^2\\4+36=c^2\\40=c^2\\c=6.3246$

BC is about 6.3246 units long.

Area ===

Finally, you can use these to find the area of the triangle. The area of a right triangle is just half the area of a rectangle with the same base and height:

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