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3 years ago

Use elimination to solve the system below: 4x – 3y = 22 2x – y = 10

Mathematics

1 answer:

Monica [59]3 years ago

3 0

Answer:

Y = -2, X = 4

Step-by-step explanation:

When you first use the elimination method, you would multiply 2x-y = 10 by -2 so that you could get the 4x to be eliminated.

4x-3y = 22

(2x-y = 10)-2 = -4x + 2y = -20

When you add those 2 together you are left with -y = 2, which you divide by negative to get y = -2. Then you substitute -2 for y to solve for x. I substituted the bottom equation

2x - (-2) = 10

2x +2 = 10

2x = 8

Divide both sides by 2 to get x = 4.

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3 years ago

What is the least common denominator between 3/4 4/5 and 2/3

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Answer:

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3 years ago

Part I: Measuring Parts of a Circle

cluponka [151]

Answer:

case a) The approximate circumference of circle is $5.9\ units$ and the ratio of circumference to Diameter is $\frac{C}{D}=2.95$

case b) The approximate circumference of circle is $6\ units$ and the ratio of circumference to Diameter is $\frac{C}{D}=3$

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Step-by-step explanation:

we know that

The approximate circumference of each circle, is equal to the perimeter of each inscribed polygon

case A) the figure is an inscribed pentagon

step 1

Find the approximate circumference of circle

The perimeter of the pentagon is equal to

$P=5s$

where

$s=1.18\ units$

substitute

$P=5(1.18)=5.9\ units$

therefore

The approximate circumference of circle is $5.9\ units$

step 2

Find the ratio of circumference to Diameter

we know that

The radius is half the diameter so

$D=2r=2(1)=2\ units$

The ratio is equal to

$\frac{C}{D}=5.9/2=2.95$

case B) the figure is an inscribed hexagon

step 1

Find the approximate circumference of circle

The perimeter of the hexagon is equal to

$P=6s$

where

$s=1\ units$

substitute

$P=6(1)=6\ units$

therefore

The approximate circumference of circle is $6\ units$

step 2

Find the ratio of circumference to Diameter

we know that

The radius is half the diameter so

$D=2r=2(1)=2\ units$

The ratio is equal to

$\frac{C}{D}=6/2=3$

case C) the figure is an inscribed dodecahedron

step 1

Find the approximate circumference of circle

The perimeter of the dodecahedron is equal to

$P=12s$

where

$s=0.52\ units$

substitute

$P=12(0.52)=6.24\ units$

therefore

The approximate circumference of circle is $6.24\ units$

step 2

Find the ratio of circumference to Diameter

we know that

The radius is half the diameter so

$D=2r=2(1)=2\ units$

The ratio is equal to

$\frac{C}{D}=6.24/2=3.12$

Conclusion

We know that

The exact value of the ratio $\frac{C}{D}$ is equal to

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The approximate value of the circumference will be closer to the real one when the number of sides of the inscribed polygon is greater

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3 years ago

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kykrilka [37]

Answer:

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