Answer:
Just remember to divide the diameter by two to get the radius. If you were asked to find the radius instead of the diameter, you would simply divide 7 feet by 2 because the radius is one-half the measure of the diameter. The radius of the circle is 3.5 feet.
Step-by-step explanation:
I graphed the function.
Remember, f(x)= y.
y= -2x^2-16x-34
The vertex was at point (-4,-2)
I hope this helps!
~kaikers
Let's do 51 and 52.
51. The contrapositive has the same truth value as the original statement. That's opposed to the converse, which may or may not be true independent of the original statement.
The contrapositive of IF P THEN Q is IF not Q THEN not P. They're equivalent. Here that's If the cat is not female then it is not tricolor.
Answer: C
52.


For the statement to be true, the exponent must be zero:



Both positive 2 and negative 2 have a square of 4.
Answer: K
By the way, usually we assume
so the restriction that
isn't really necessary. Think of the definition of a polynomial or the binomial expansion:


For these common equalities to work when
we need to define 
Answer:
1) 5
2) 5
Step-by-step explanation:
Data provided in the question:
(3²⁷)(5¹⁰)(z) = (5⁸)(9¹⁴)(
)
Now,
on simplifying the above equation
⇒ (3²⁷)(5¹⁰)(z) = (5⁸)((3²)¹⁴)(
)
or
⇒ (3²⁷)(5¹⁰)(z) = (5⁸)(3²⁸)(
)
or
⇒ 
or
⇒
or
⇒
we can say
x = 5, y = 2 and, z = 3
Now,
(1) y is prime
since, 2 is a prime number,
we can have
x = 5
2) x is prime
since 5 is also a prime number
therefore,
x = 5
It's been a while since I have done these kind of questions, but I would say a 180 transformation would be my best answer. Hope this helps a bit!