Answer:
C(-3,3)
Step-by-step explanation:
Given
A = (7,-1)
B = (2,1)
AB:AC = 1:2
Required
Determine the coordinates of C
Since, B is between A and C; we need to determine ratio BC as follows;

Convert to division

<em>AC = AB + BC;</em>

Cross Multiply




Divide both sides by BC

Rewrite as

Write as ratio

Next is to determine the coordinates of C as follows;
Because B is between both points. we have:

Where



So; we're solving for x2 and y2

Where
Solving for x2;



Cross Multiply




Solving for y2;



Cross Multiply




<em>Hence, the coordinates of C are: C(-3,3)</em>
X> -1
this is the solution
ANSWER
A.

EXPLANATION
The given inequality is

We add the additive inverse of 18, which is -18 to both sides of the equation to get,

Recall that,

This implies that,

We simplify to get,


We now divide both sides by 10 to obtain,

We cancel out the common factors to get,

The correct answer is A.