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Marina CMI [18]
3 years ago
13

Point C has the coordinates (–1, 4) and point D has the coordinates (2, 0). What is the distance between points C and D?

Mathematics
2 answers:
Bad White [126]3 years ago
6 0

Answer:

5

Step-by-step explanation:

Use the distance formula d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

insert the numbers into the formula d=\sqrt{(2+1)^2+(0-4)^2}

2+1=3 and 0-4=-4

3^2 =9 and -4^{2} = 1

9+16=25

the square root of 25 is 5

disa [49]3 years ago
4 0

Answer:

The distance would be 5

Step-by-step explanation:

You would have to use the distance formula, which is:

d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

The coordinate 2 is x_{2} and coordinate -1 is x_{1}

And the coordinate 0 is y_{2} and 4 is y_{1}

So now we would put those values into the formula as follows:

d=\sqrt{((2)-(-1))^{2}+((0)-(4))^{2} }

According to PEMDAS, we would have to evaluate parenthesis first

*Keep in mind that two negative signs equal a positive

d= \sqrt{(3)^{2}-(4)^{2}}

Following with PEMDAS, we'll now square both numbers

d=\sqrt{9+16}

Evaluate

d=\sqrt{25}

And simplify

d= 5

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What is the given point on the line of this equation y +2 = 5/3(x-3)
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Step-by-step explanation:

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A chord has ___________ endpoint(s) on a circle.<br> A. Three<br> B. None<br> C. One <br> D. Two
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3 years ago
Two step equations x−17/3=−3
vovikov84 [41]

Answer:

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another rectangle has length and width in the ratio of 3:2. If the length is increased by eight and the width is increased by 50
Andreyy89

Answer:

Area of the new rectangle  = 148.8 cm square

Step-by-step explanation:

Let x be the dimensions of the rectangle then the

Perimeter of the Original rectangle= 2(L+B)

                                                   = 2 ( 3x+2x) = 2(5x)= 10xcm

If the length is increased by eight the new length would be 3x+ 8

and width would be 2x+x= 3x after 50 % increase

Perimeter of the new rectangle= 2(L+B)

                                                     = 2 ( 3x+8 +3x)

                                                       = 2 (6x+8)

                                                       = 12x + 16

Ratio of the new perimeter to the original perimeter is

             New perimeter :   Original perimeter

                8                      : 5

           12x+ 16                   : 10x cm

80x= 60x + 16

20x= 16

x= 16/20= 4/5

Putting the value of length and breadth in place of x

Area of the new rectangle = L*B =  3 * (4/5) +8 *3(4/5)=

                                                                 = 12+ 40/5 * 12/5

                                                                   = 62/5* 12/5

                                                                     = 744/5

                                                                   = 148.8 cm square

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3 years ago
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