Answer:
Step-by-step explanation:
We are given a ratio for this problem so we will use the formula for when we are given a ratio (as opposed to the formula for when you are given that the point you're looking for is a fraction of the way from one point to another, like 1/3 of the way from point A to point B. That's a different formula).
The formulas are for the x and y coordinates of the point in question:
and where
a = 3 (from the ratio),
b = 1 (from the ratio),
x1 = -4, y1 = 0 (from point J)
x2 = 0, y2 = 4 (from point K). Filling in for x first:
gives us
and now for y:
gives us
Therefore, the coordinates that partition that segment into the ratio of 3:1 are (-1, 3)
Answer:
x = 3/61
Step-by-step explanation:
Hi there!
49(9x+1) = 14(x+5)
Divide both sides by 7
7(9x+1) = 2(x+5)
Open up the parentheses
63x+7 = 2x+10
Combine like terms
63x-2x = 10-7
61x = 3
Divide both sides by 61
x = 3/61
I hope this helps!
Answer:
<em>never </em>because they are continually increasing at the same rate without multiplying and dividing
Answer: Option C
Step-by-step explanation:
Given the quadratic equation , substitute :
In this case, to find the solutions of the given quadratic equation, you must factor out the variable "x". Then:
Therefore, you get that the solutions of this equation are the following:
Then, the answer is:
This matches with the option C.