Answer:
The common factors of 64 and 100 are 4, 2, 1, intersecting the two sets above. In the intersection factors of 64 ∩ factors of 100 the greatest element is 4. Therefore, the greatest common factor of 64 and 100 is 4.
Step-by-step explanation:
csc(x) is the reciprocal of sin(x)
Since sin(x) = 6/7
Then to find csc (x) reciprocal to the value of sin(c)
csc(x) = 7/6
The answer is the first choice
Answer:
16/45
Step-by-step explanation:
Step 1: When dividing fractions, use “KFC”. It means Keep the first fraction, Flip the second one, and
Change it to multiplication
-4/20 ÷ -9/16 → -4/20 ∙ 16/-9
Step 2: Reduce any fractions if necessary, it makes multiplying them easier and you will have to reduce anyway at the end. It’s easier arithmetic to reduce at this step. The first fraction reduces because both the numerator and denominator are divisible by 4.
-1/5 ∙ 16/-9
Step 3: Multiply numerators and denominators together to get one fraction
(-16)/(-45)
Step 4: Cancel out the negatives, a negative divided by a negative is a positive. Our final answer is
16/45
Answer for 7: C
Answer for 9: A
Step-by-step explanation for 7:
Because the variable is an exponent, we know there are no real numbers which cannot be placed in the exponent. Therefore, the domain is all real numbers.
Step-by-step explanation for 9:
Test a few values for x. Notice as the x value gets higher, the y value gets exponentially higher. Notice as the x value gets lower, the y value approaches 0, but no value of x will have y equal to or less than 0. Therefor, the asymptote, or line that cannot be crossed is 0 - making A the correct solution.
