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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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Ugo [173]
<span>Please help need this done now hurry 1 question below!! 25 points</span>
7 0
3 years ago
Determine the equation of the circle with centre (-3;5) and passing through a point (2;-9)
UNO [17]

Therefore, the equation of circle is: (x+3)^{2}+(y+5)^{2} = 100

<h3><u>What is a circle?</u></h3>
  • All points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.
  • The radius of a circle is the separation between any point on the circle and its center.
  • The radius must typically be a positive integer. Except when otherwise specified, this article discusses circles in Euclidean geometry, namely the Euclidean plane.
  • A circle, specifically, is a straightforward closed curve that separates the plane into its inner and exterior.

Here we know that(h,k) = (-3,5)but we are not given the radius.

However, we can find the radius by using the distance formula.

\sqrt{x^{2} +y^{2} }, where x=x_{1} -x_{2} and y=y_{1} -y_{2}

Putting the values, we get:

\sqrt{8^{2} +6^{2} }

The radius comes out to be:

r=10

An equation of the circle with center (h,k) and radius r is

(x-h)^{2} +(y-k)^{2} = r^{2}

Now, substituting the values, we get:

(x--3)^{2} +(y-5)^{2} = 10^{2}

Therefore, the equation of circle is:

(x+3)^{2}+(y+5)^{2} = 100

Know more about circles with the help of the given link:

brainly.com/question/10618691

#SPJ4

7 0
1 year ago
Solve for p P-17=2p+3
Y_Kistochka [10]

Answer:

-20

Step-by-step explanation:

P-17=2P+3

P-2P=17+3

-P=20

Divide both sides by negative 1

P=20

7 0
3 years ago
12 POINTS PLEASE HELP ME
Setler [38]

Answer:

11,44,83

Step-by-step explanation:

4y+7y+6=116(exterior angle is equal to sum of two opposite interior angle in traingle)

11y=116-6

y=110÷11=11

4y=4×11=44

7y+6=7×11+6=83

7 0
2 years ago
+
viva [34]

Answer:

(x - 1) (x + 2) (x + 4)

Step-by-step explanation:

Factor the following:

x^3 + 5 x^2 + 2 x - 8

The possible rational roots of x^3 + 5 x^2 + 2 x - 8 are x = ± 1, x = ± 2, x = ± 4, x = ± 8. Of these, x = 1, x = -2 and x = -4 are roots. This gives x - 1, x + 2 and x + 4 as all factors:

Answer: (x - 1) (x + 2) (x + 4)

6 0
3 years ago
Read 2 more answers
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