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Harman [31]
3 years ago
13

A circle has a center at (4, -7) and a radius of 4 units. What is the equation of this circle?

Mathematics
1 answer:
Softa [21]3 years ago
7 0

Answer:

(x-4)^2+(y+7)^2=16

Step-by-step explanation:

A circle with radius r and centre (a, b) has an equation:

(x-a)^2+(y-b)^2=r^2

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Let D = {-48, -14, -8, 0, 1, 3, 16, 23, 26, 32, 36} Determine which of the following statements are true and which are false. a)
morpeh [17]

Answer:

\forall x\in D if x is odd then x> 0 is true statement.

\forall x\in D if x is odd then x> 0 is true statement.

\forall x\in D if x is even then x≤0 is false statement.

\forall x\in D If the ones digit of x is 2, then the tens digit is 3 or 4 is true statement.

\forall x\in D if the ones digit of x is 6, then the tens digit is 1 or 2 is false statement.

Step-by-step explanation:

Consider the provided information.

D = {-48, -14, -8, 0, 1, 3, 16, 23, 26, 32, 36}

Part (A) \forall x\in D if x is odd then x> 0

Here only even numbers are less than 0 that means the statement is true.

\forall x\in D if x is odd then x> 0 is true statement.

Part (B) \forall x\in D if x is less than 0 then x is even.

Here only even numbers are less than 0 that means the statement is true.

\forall x\in D if x is odd then x> 0 is true statement.

Part (C) \forall x\in D if x is even then x≤0

Here we can see that 16, 26, 32, 36 are even number and also greater than 0. Thus the statement is false.

\forall x\in D if x is even then x≤0 is false statement.

Part (D) \forall x\in D If the ones digit of x is 2, then the tens digit is 3 or 4.

There is only one number whose ones digit is 2. i.e. 32 also the tens digit of the number 32 is 3. Which makes the above statement true.

\forall x\in D If the ones digit of x is 2, then the tens digit is 3 or 4 is true statement.

Part (E) \forall x\in D if the ones digit of x is 6, then the tens digit is 1 or 2.

Numbers having ones digit 6 are: 16, 26 and 36

Here, the tens digits are 1, 2 and 3 which is contradict to our statement. Hence the provided statement is false.

\forall x\in D if the ones digit of x is 6, then the tens digit is 1 or 2 is false statement.

8 0
3 years ago
Twelve basketball players, whose uniforms are numbered 1 through 12, stand around the center ring on the court in an arbitrary a
Ksju [112]

Answer:

Shown

Step-by-step explanation:

Given that twelve basketball players, whose uniforms are numbered 1 through 12, stand around the center ring on the court in an arbitrary arrangement.

Let us consider consecutive numbers in this set.

1+2+3 =6

After this we find the totals are more than 20.

When 1 to 12 are arbitrarily arranged, there are chances that numbers from 6 and above are having consecutive numbers.

These totals are greater than 20

Hence shown that some three consecutive players have the sum of their numbers at least 20.

(i.e. starting from if we take)

6 0
3 years ago
Two divers are underwater. Nick is 33 feet below the surface. Tristan is 15 feet above him. What is Tristan's depth?
Licemer1 [7]
Tristan’s depth is 18 feet
6 0
3 years ago
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Which equation represents a circle with the same radius as
Elena-2011 [213]

Answer:

If the circle shown (which I can't see) has a radius of 2, then it's equation 3, if the radius is 4, then it's equation 4.

Step-by-step explanation:

The equation for a circle is (x-h)^{2} +(y-k)^{2} =r^{2}

Where (h, k) is the center and r is the radius.

5 0
4 years ago
Read 2 more answers
Is anyone willing to help me solve Absolute Value homework?? It doesn't look awful but I just do not understand.. Help would be
ira [324]
Sure, but I can’t find the problems
6 0
3 years ago
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