Option D: 
is the x-coordinate
Explanation:
It is given that the coordinates of the line segment are A(3,2) and B(6,11).
Since, the line is partitioned by the point C by the ratio AC : BC = 2 : 3
The distance between the x-coordinates is 3 units.
To determine the value of the x-coordinate for point C, let us divide the value of x-coordinate from the ratio divided by the sum of ratio.
The value of x-coordinate from the ratio is 2.
Sum of the ratio is 2 +3 = 5
Thus,
The x - coordinate = value of x-coordinate from the ratio / Sum of ratio = 2/5
Substituting the values, we have,
The x - coordinate of the Point C =
Thus, Option D is the correct answer.
Answer:
192
1/192 = 0.5%
Step-by-step explanation:
To calculate the total number of possibilities, we just have to multiply the number of possible items of each type, so
6 flowers * 8 vegetables * 4 herbs = 192 variations possible
There are then 192 ways to combine these plants into his garden.
Roses, tomatoes and basil is one of the 192 variations possible, so the probability for him to pick exactly this assortment is 1/192 or 0.5%
The radius of the circle expressed as a mixed number is: 
inches.
<h3>What is the Radius of a Circle?</h3>
Radius of a circle = half the measure of the diameter of a circle.
Given:
diameter of a circle = 
inches
Therefore:
Radius of the circle = 1/2()
= 1/2(47/6)
= (1 × 47)/(2 × 6)
= 47/12
= inches.
Therefore, the radius of the circle expressed as a mixed number is: inches.
Learn more about radius of a circle on:
brainly.com/question/24375372
For it to be a linear equation, the same difference in x must produce the same difference in y always.
Choice A.
difference in x: 2 - 1 = 1
difference in y: -6 - (-2) = -4
difference in x: 3 - 2 = 1
difference in y: -2 - (-6) = 4
A difference of 1 in x gave a difference of -4 in y and another difference of 1 in x gave a difference of 4 in y.
This is not linear.
Choice B.
difference in x: 2 - 1 = 1
difference in y: -5 - (-2) = -3
difference in x: 3 - 2 = 1
difference in y: -9 - (-5) = -4
A difference of 1 in x gave a difference of -3 in y and another difference of 1 in x gave a difference of -4 in y.
This is not linear.
Choice C.
difference in x: 2 - 1 = 1
difference in y: -10 - (-2) = -8
difference in x: 3 - 2 = 1
difference in y: -18 - (-10) = -8
Do the other differences. All differences in y are -8 corresponding to a difference in x of -1.
This is linear.
Choice D.
The differences in y vary. It is not linear.
Answer: Choice C is linear.
