Answer:
79
Step-by-step explanation:
<h3>
Answer: k = 0 or k = 3</h3>
Explanation:
If you have repeated x values, then you wont have a function. For example, the points (1,5) and (1,6) mean we don't have a function since the input x = 1 leads to multiple outputs y = 5 and y = 6 simultaneously. For a function to be possible, we must have any input lead to exactly one output only.
What we do is set the x coordinates (k^2 and 3k) equal to each other and solve for k
k^2 = 3k
k^2-3k = 0
k(k-3) = 0 .... factoring
k = 0 or k-3 = 0 .... zero product property
k = 0 or k = 3
If k = 0, then (k^2,5) becomes (0,5). Also, (3k,6) becomes (0,6). The two points (0,5) and (0,6) mean the graph fails the vertical line test.
Similarly, if k = 3, then (k^2,5) becomes (9,5) and (3k,6) = (9,6). Another vertical line test failure happens here to show we don't have a function.
Answer:
4,6
Step-by-step explanation:
Good Luck =)
Factor the numerator and denominator and cancel the common factors.
The answer would be 1/4
Answer: 76.56sqcm
Step-by-step explanation:
Area of rectangle= length * width
= 16 * 4 = 64sqcm
Area of semicircle= (1/2)(r^2)π
r= d/2= 4/2= 2
Area of semicircle= (1/2)(2^2)(3.14)
= 6.28sqcm
Area of bookmark= Area of rectangle + 2*Area of semicircle
Area of bookmark= 64 + 2(6.28)
=64 + 12.56 = 76.56sqcm
