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QveST [7]
2 years ago
9

What is the distance from Cto D?

Mathematics
1 answer:
IRINA_888 [86]2 years ago
8 0

Given:

The two points C(2,-1) and D(5,3) on a coordinate plane.

To find:

The distance from C to D.

Solution:

The distance between two points is defined by the distance formula.

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

The two points are C(2,-1) and D(5,3). Using the distance formula, we get

CD=\sqrt{(5-2)^2+(3-(-1))^2}

CD=\sqrt{(3)^2+(3+1)^2}

CD=\sqrt{(3)^2+4^2}

On further simplification, we get

CD=\sqrt{9+16}

CD=\sqrt{25}

CD=5

The distance from point C to D is 5 units. Therefore, the correct option is A.

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What is the value of H only answer if you know for sure it's correct thank you:)
Ostrovityanka [42]

Answer:

8\sqrt{2}\ units.

Step-by-step explanation:

Use the trignometric property.

sin\theta = \frac{Perpendicular}{Hypotenuse}

Perpendicular = 8

Hypotenuse = h

\theta = 45^{\circ}

sin\ 45^{\circ} = \frac{1}{\sqrt{2}}

\frac{1}{\sqrt{2}} = \frac{8}{h}

h = 8\sqrt{2}\ units

Hope I helped you! x

4 0
3 years ago
What is the value of x in the equation 8x – 2y = 48, when y = 4?
luda_lava [24]

Answer:

7

Step-by-step explanation:

8x-2y=48, replace y with 4, 8x-2(4)=48, multiply, 8x-8=48, add 8 to both sides to remove the -8, 8x=56 and finally divide by 8 to remove 8 from x, x=7.

8 0
2 years ago
Mean of of 0, 3, and 6
ehidna [41]

Answer:

3

Step-by-step explanation:

Mean= add up all the numbers, then divide by how many numbers there are. 0+3+6=9

9/3=3

8 0
1 year ago
Help please and thanks
12345 [234]

Answer:

C

Step-by-step explanation:

6/9 simplified is 2/3 they're equal to each other so they're proportional

Hope this helps :)

6 0
2 years ago
A point is randomly chosen in the diagram shown below.
Anni [7]

Answer:

The likelihood that a point chosen inside the square will also be inside the circle: 78.54%

Step-by-step explanation:

  • Let x is the side of the suqare

=> the area of the square is: x^{2}

  • Let d is the diameter of the circle

=> the area of the circle : \frac{1}{4} d^{2}π

However, d=x because of the square property  

<=> the area of the circle : \frac{1}{4} x^{2}π

The likelihood that a point chosen inside the square will also be inside the circle:

the area of the circle / the area of the square

= \frac{1}{4} x^{2}π / x^{2}

= \frac{1}{4} π *100%

= 0.7854 * 100%

= 78.54%

8 0
3 years ago
Read 2 more answers
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