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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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PLZ HELP ASAP TANGENTS OF CIRCLES PROBLEMS
quester [9]
A circumscribed angle is that which is formed by the intersection of the two tangent lines in a circle. With this, we can conclude that segments AC and AB are tangent to circle O. The tangent lines forms a right angle with the radius of the circle drawn from the center of the circle to the tangent point. 

By the explanation above, we can say that angles C and B are equal to 90° and that triangle ACO and triangle ABO are congruent. Which means that segment AC is equal to segment AB. Thus, the length of AB is also 4. 

<em>Answer: 4 units</em>
7 0
3 years ago
What is 5(y-2)-2=2(y+1)-5? Solve for y and show your work please.
Inessa [10]

Answer:

y = 3

Step-by-step explanation:

Let's start with the left side of the equation.

5(y-2)-2= 2(y+1)-5

5y-10-2= 2(y+1)-5

Now let's solve the right side

5y-10-2= 2y+2-5

5y-12= 2y-3

-2y     -2y

3y-12=-3

   +12 +12

3y = 9

3y/3 = 9/3

y = 3

hope this helps!

4 0
3 years ago
4. The West Corporation has a weekly fixed cost of $5000. It costs $40 to produce each
Fantom [35]

Answer: 250 cameras; $10,000 spent; 15,000 made

Step-by-step explanation:

1) FInd the profit. 60-40=20. This means that they make a profit of $20 per camera.

2) How many cameras to break even? 5000/20=250. The answer is 250 cameras!

3) How much money has been spent? 40x250= $10000 spent.

4) How much money has been made? 60x250= $15000 made.

<em>Hope this helps!</em>

6 0
2 years ago
Which bacteria sample (A or B) had a smaller initial population? What was that value?
zubka84 [21]

Answer:

B has a smaller initial population of 500

Step-by-step explanation:

Given

See attachment for complete question

Required

The bacteria with the smaller initial population

The initial population is at x = 0

For bacteria A;

A(x) = 600 when x = 0

For bacteria B, we have:

B(x) = 500(2)^x

Substitute 0 for x

B(x) = 500(2)^0

B(x) = 500*1

B(x) = 500

So; when x = 0

A(x) = 600 and B(x) = 500

Because; 500 < 600

We can conclude that B has a smaller initial population of 500

4 0
2 years ago
Which is larger a millimeter or a millimeter
maksim [4K]
They are exactly the same thing
3 0
3 years ago
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