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kondor19780726 [428]
3 years ago
11

Find the distance between the points (4,3) and (2,-1). Express your answer in simplest radical form.

Mathematics
1 answer:
Kamila [148]3 years ago
3 0

Answer : B

the distance between the points (4,3) and (2,-1)

We apply distance formula

d^2= (x_2-x1)^2 + (y_2-y_1)^2

(x1,y1) is (4,3)

(x2,y2) is (2,1)

d^2= (2-4)^2 + (-1-3)^2

d^2= (-2)^2 + (-4)^2

d^2 = 4+16 = 20

Take square root on both sides

So  d=2\sqrt{5}

the distance between the points (4,3) and (2,-1) is 2sqrt(5)

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Step-by-step explanation:

\sqrt{9} \cdot \sqrt{100} =

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Emmanuel carves a cone-shaped hollow out of a solid clay cylinder. What is the approximate volume of the solid portion of the cy
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Answer:

3.14r^2(h-\frac{1}{3}h_1)

Step-by-step explanation:

Let h be the cylinders height and r the radius.

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The volume of the  solid section of the cylinder is calculated by subtracting the cone's volume from the cylinders:

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Hence, the approximate area of the solid portion is 3.14r^2(h-\frac{1}{3}h_1)

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0.0098

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A woman earns $ 1,350 in interest from two accounts in one year. If she has three times as much invested at 7% as she does at 6%
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Answer:

The woman invested $15,000 at 7% interest rate and $5,000 at  6% interest rate.

Step-by-step explanation:

We are given the following in the question:

Let x be the interest earned from 7% interest rate and y be the interest earned from 6% interest rate.

The woman invested has three times as much invested at 7% as she does at 6%.

Thus, we can write the equation:

x = 3y

The total interest is $1,350.

Thus, we can write the equation:

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Thus, she invested $15,000 at 7% interest rate and $5,000 at  6% interest rate.

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