Answer:
0.5
Step-by-step explanation:
We assume your function is
The distance formula can be used to find the distance from the point on the curve (x, f(x)) to the origin:
d^2 = (x)^2 + (f(x))^2 = x^2 + (4 -x)
Written in vertex form, this is ...
d^2 = (x -1/2) + 3.75
This has a minimum at x=1/2, so that is the x-coordinate of the point closest to the origin.
Answer: C
Step-by-step explanation:
Yes, because the population values appear to be normally distributed
Answer:
We have the following function:
f (x) = 5 • 2 ^ x
We can make a table to represent the function.
For this, we will evaluate the function for some values of x.
We have then:
f (0) = 5 • 2 ^ 0 = 5 * 1 = 5
f (1) = 5 • 2 ^ 1 = 5 * 2 = 10
f (2) = 5 • 2 ^ 2 = 5 * 4 = 20
f (3) = 5 • 2 ^ 3 = 5 * 8 = 40
f (4) = 5 • 2 ^ 4 = 5 * 16 = 80
f (5) = 5 • 2 ^ 5 = 5 * 32 = 160
Answer:
The table that represents the function is:
0 5
1 10
2 20
3 40
4 80
5 160
A quadrilateral is a kite if the diagonals are:
i) perpendicular
ii) bisect each other
iii) not equal ( together with conditions i and ii this would make the quadrilateral a square)
Another definition of the kite is :
a quadrilateral with 2 pairs of equal adjacent sides.
Let's check the choices one by one:
A. <span>∠M is a right angle and MK bisects ∠LMJ.
according to these, ML and MJ may well be not equal...
</span><span>B. LM = JM = 3 and JK = LK = √17.
</span>
this makes the quadrilateral a kite.
<span>C. MK intersects LJ at its midpoint
</span>
if they are not perpendicular, the quadrilateral is not a kite.
<span>D. The slope of MK is –1 and the slope of LJ is 1.
this only means that MK and LJ are perpendicular, but not whether they bisect each other,
Answer: only B</span>
