The answer is “A. 12” because 12 is NOT divisible by 8
Answer:
6
Step-by-step explanation:
Answer:
10 years old
Step-by-step explanation:
Let's say the age of the younger sister is x. Then the age of the older sister must be x + 2 because the ages are consecutive <em>even</em> numbers.
"Twice the age of the youngest exceeds the oldest by 8" means that we multiply x by 2 and set that equal to (x + 2) + 8:
2x = (x + 2) + 8
2x = x + 10
x = 10
So, the youngest sister is 10 years old.
Answer: 1) c 2) d
<u>Step-by-step explanation:</u>
Use Pythagorean Theorem to find the hypotenuse (r): x² + y² = r²
Given: x = 2, y = 6
2² + 6² = r²
4 + 36 = r²
40 = r²


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We have been given that a cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shift is 9 units down, and the period of the function is
. The graph of the function does not show a phase shift. We are asked to write the equation of our function.
We know that general form a cosine function is
, where,
A = Amplitude,
= Period,
c = Horizontal shift,
d = Vertical shift.
The equation of parent cosine function is
. Since function is reflected about x-axis, so our function will be
.
Let us find the value of b.




Upon substituting our given values in general cosine function, we will get:

Therefore, our required function would be
.