Answer: f(-2) = 10
Step-by-step explanation:
To fin f(-2), we must plug -2 in for x
y = -3x + 4
y = -3 (-2) + 4 = 6 + 4 = 10
5. The contrapositive is the equivalent one.
If P then Q
becomes
If not Q then not P.
We have P: student plays basketball and Q: student is over 6 feet so we're looking for
If the student isn't over 6 feet then the student doesn't play basketball
Answer: 2nd one
6.
That's the addition property of equality, second choice. We add 4 to both sides of an equation to get an equally valid equation.
It's also technically the subtraction property because we could subtract -4 from both sides. They're probably looking for the other answer.
You can use prime factorization to find the GCF of a set of numbers. This often works better for large numbers, where generating lists of all factors can be time-consuming.
Here’s how to find the GCF of a set of numbers using prime factorization:
* List the prime factors of each number.
* Circle every common prime factor — that is, every prime factor that’s a factor of every number in the set.
* Multiply all the circled numbers.
The result is the GCF.
For example, suppose you want to find the GCF of 28, 42, and 70. Step 1 says to list the prime factors of each number. Step 2 says to circle every prime factor that’s common to all three numbers (as shown in the following figure).
As you can see, the numbers 2 and 7 are common factors of all three numbers. Multiply these circled numbers together:
2 · 7 = 14
Thus, the GCF of 28, 42, and 70 is 14.
ANSWER
D. 18 m^2
EXPLANATION
The area of a kite is half the product of the diagonals.
The diagonals of the kite are
3+3=6m
and
2+4=6m
The area of the kite
The correct answer is D.