AC = 8, AB = 2x + 20, and BC = 2x + 24. Find x.
1 answer:
Answer:
<u>Answer</u><u>:</u><u> </u><u>x</u><u> </u><u>is</u><u> </u><u>-</u><u>9</u>
Step-by-step explanation:
If it's a line AC with a point B between;
AC = AB + BC
substitute in terms of x :
group x terms in a same bracket, and constants in their bracket
operate the brackets:
subtract 44 from both sides:
simplify:
divide all sides by 4:
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Answer:
(-21, 16)
Step-by-step explanation:
A is at (-33, 0) and B is at (0, 44),
A point that divides the line segment in a ratio of 4:7 also divides the differences of the x-and y-coordinates in the same ratio.
If we divide each distance into 11 equal parts and choose a length 4/11 of the distance, the other part will be 7/11 of the distance. The two parts will be in a ratio of 4:7.
For the x-coordinate,
x₂ - x₁ = 0 - (-33) = 0 + 33 = 33
(4/11) × 33 = 12
-33 + 12 = -21
The x-coordinate of M is (-21, 0).
For the y-coordinate,
y₂ - y₁ = 44 - 0 = 44
(4/11) × 44 = 16
0 + 16 = 16
The y-coordinate of M is (0, 16).
The coordinates of M are then (-21, 16).
The diagram below shows the point M that divides AB in a 4/7 ratio.
