Answer:
a segment is partitioned at a ratio of 1:3, then the point is one-fourth of the distance from (-4,-1) to (2,7).
To compute the x-coordinate of that point, you will need to compute one-fourth of the x-distance between 2 and -4 then add it to -4: (2--4)/4 = 1.5; 1.5 + -4 = -2.5.
To compute the y-coordinate of that point, you will need to compute one-fourth of the y-distance between 7 and -1 then add it to -1: (7--1)/4 = 2; 2 + -1 = 1.
The point is (-2.5,1)
The ratio of a : b : c in its simplest form is 5 : 12 : 30 respectively
<h3>How to solve ratio?</h3>
- a : c = 1 : 6
- b : c = 2 : 5
So,
a / b = 1/6
b/c = 2/5
- lowest common multiple of c in both ratio
1/6 + 2/5
=(5 + 12) /30
a : b and b : c
= 5/30 and 12/30
Therefore,
a : b : c = 5 : 12 : 30
Learn more about ratio:
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For this case, the first thing we must do is define variables.
We have then:
x: number of pens
y: number of pencils
We now write the system of inequations:

The solution to the system of inequations is given by the shaded region.
Note: see attached image.
The answer will be C. I hope this helped you! ^^
Answer:
1.) 3
Step-by-step explanation:
<u>Divide each side by -35. Whatever you do to one side of the equation, you must do to the other side.</u>
<u />
<u />
= 
X = 3