Answer:
The x-intercept of CD is -19/5
Step-by-step explanation:
If the coordinates of the first point is (-3, 2) and the coordinates of the point B are (7, 6) then we need first to find the equation of the line CD:
We know that the general equation of the line is:
y-y0 = m(x-x0) where (x0, y0) represents a point that belongs to the line and m, is the slope which can be calculated by using the following formula:
m = (x1 - x0) / (y1 - y0)
In this case:
(x1, y1) = (7, 6)
(x0, y0) = (-3, 2)
Then:
m = (7 - (-3))/(6-2) = 10/4 = 5/2.
Then, the equation of the line is:
y-y0 = m(x-x0)
y - 2 = 5/2 (x -(-3))
y = 5/2(x+3) + 2
To find the x intercept we make y=0.
Then y = 5/2(x+3) + 2 = 0
Then:
x = -4/5 - 3 = -19/5
Answer:
8
Step-by-step explanation:
The intersecting chord theorem is expressed as;
7 * x = 4 * 14
7x = 56
Divide both sides by 7
7x/7 = 56/7
x = 8
Hence the value of x is 8
Answer:
D
Step-by-step explanation:
We need to know how many hours left she needs to work, not how many weeks because it is for one week. It is not money because her requirment is not about how much money you make per week. It is also not jobs because in the requirements, there is nothing that talks about jobs.
Blue: y = 1/2x - 2
Orange: y = -2x - 4
Answer:
B) x - 2y = 4 and 2x + y = -4
Answer:

Step-by-step explanation:
Given


Required

This question is an illustration of binomial distribution where:

So, we have:


This gives


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