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3 years ago

Identify the radius of the circle whose equation is (x - 2)^2 + (y - 8)^2 = 16.

Mathematics

2 answers:

KiRa [710]3 years ago

5 0

The radius is 4
the equation of a circle is (x-h)^2+(y-k)^2=r^2
in this case, 16=r^2
so r=4

Misha Larkins [42]3 years ago

3 0

16^2 is the radius, so 16 squared is 4. Therefore the radius is equal to 4

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2 years ago

The numbers on two consecutively numbered gym lockers have a sum of 141. What are the locker numbers?

lesantik [10]

Answer:

70 and 71

Step-by-step explanation:

Consecutive means in a row

x is the first number

x+1 is the next number

x+ x+1 = 141

Combine like terms

2x+1 =141

Subtract 1 from each side

2x+1-1=141-1

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Divide each side by 2

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2 years ago

Read 2 more answers

Determine whether the following statement is a tautology, contradiction, or neither (~PVQ) ~Q Tautology Contradiction • Neither

Tom [10]

Answer:

The statement $(\lnot P \lor Q)\rightarrow \lnot Q$ is neither a tautology nor a contradiction.

Step-by-step explanation:

A tautology is a statement that is always true.

A contradiction is a statement that is always false.

We are going to use a truth table to determine whether the statement $(\lnot P \lor Q)\rightarrow \lnot Q$ is a tautology, contradiction, or neither

A truth table shows how the truth or falsity of a compound statement depends on the truth or falsity of the simple statements from which it's constructed.

The statement $(\lnot P \lor Q)\rightarrow \lnot Q$ is compound by these simple statements:

$\lnot P$
$\lnot Q$
$(\lnot P \lor Q)$

and we are going to use these simple statements to build the truth table.

The last column contains true and false values. Therefore, the statement is neither a tautology nor a contradiction.

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3 years ago