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user100 [1]
3 years ago
8

Question 4: What is the center of the circle with standard form (x-2)2+(y+4)2=16?

Mathematics
2 answers:
finlep [7]3 years ago
6 0

Answer:

2,-4

Step-by-step explanation:

I think I did it right but if I didn't you can blame me smh

storchak [24]3 years ago
4 0

Answer: second option.

Step-by-step explanation:

The equation of the circle in "Standard form" or "Center-radius form" is the following:

 (x - h)^2 + (y - k)^2 = r^2

Where the center of the circle is at the point (h, k) and the radius is "r".

In this case you have the following equation of the circle written in Standard form:

(x-2)^2+(y+4)^2=16

You can identify that:

h=2\\k=-4

Therefore, the center of the given circle is at this point:

(2,-4)

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In the local frisbee league, teams have 7 members and each of the 4 teams takes turns hosting tournaments. At each tournament, e
mars1129 [50]

There are 4 teams in total and each team has 7 members. One of the team will be the host team.

Tournament committee will be made from 3 members from the host team and 2 members from each of the three remaining teams. Selecting the members for tournament committee is a combinations problem. We have to select 3 members out 7 for host team and 2 members out of 7 from each of the remaining 3 teams.

So total number of possible 9 member tournament committees will be equal to:

7C3 \times 7C2 \times 7C2 \times 7C2\\ \\  = 324135

This is the case when a host team is fixed. Since any team can be the host team, there are 4 possible ways to select a host team. So the total number of possible 9 member tournament committee will be:

9 \times 324135\\ \\  =2917215

Therefore, there are 2917215 possible 9 member tournament committees

8 0
3 years ago
What is the value of the discriminant, b2 − 4ac, for the quadratic equation 0 = x2 − 4x + 5, and what does it mean about the num
forsale [732]
(-4)^2-4(1)(5)
16-4(1)(5)
16-4(5)
16-20
-4

The discriminant is negative so there are no real number solutions.
3 0
3 years ago
Read 2 more answers
PLEASE HELP ME ASAP <br><br> Determine the slope of each line:
Sladkaya [172]

Answer:

a=(2/5), b = (-2,6)

Step-by-step explanation:

well slope formula is rise/run. So for the first one you start at the point  rise 2 run 5 and you reach the endpoint. That is how you know you got the correct slope.  (2/5)

For the second one you start at the first point and you cannot go up because it is a negative slope you run 6 till you hit the other point go down 2. Since you go down 2 that would make it -2.  (-2,6)

5 0
3 years ago
An object has a mass of 225 g and a volume of 15 cm3.<br> Find the density of the object in g/cm3
ioda

Answer:

D=m/v

=225g/15cm^3

=15g/cm^3

Step-by-step explanation:

The formula for calculating density is: density=mass/volume.

after collecting data you will see that all the data is already in the question and there's no need to convert any units. Divide the mass by the volume and you'll have the density in g/cm^3

5 0
3 years ago
Please help me :((!!!!
Alika [10]
This seems like a concept you’re going to learn and use so I’ll do a problem per section and explain.

Well basically this is a concept: if it’s a negative exponent it’s just 1/number^exponent.

So for example:
#1. 1/(10)^2 = 10^-2

The standard notation:
#9: You know that 1/(10)^3 you could either put it in a calculator or realize that you take the number 1, and move the decimal to the left three times. 0.001 would be the answer.

Scientific notation:
combines these topics. Let’s take #17. 0.025. Scientific notation means you write it as a number multiplied by 10^? So let’s see how many places you can move the decimal to get a number without the zeros.

0.025 => move it two places to the right. So that’s 2.5. Now 2.5 multiplied by what 10^? Would give you 0.025? It would be 10^-2. So your answer would be 2.5 x 10^-2.

For all of these, use your knowledge of the power of tens and dividing by tens! ^^ you got this. Let me know if you need help after this explanation.
7 0
3 years ago
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