Step-by-step explanation:
Given the ratio 5:3
and Points A and B where A is located at (-6, 3), and B is located at (26, -13).
Let point A be 
, and let point B be 
.
(-6, 3) → .
(26, -13) → .
Let 5 be n, and 3 be m.
5:3 → n:m
.
To solve, just substitute these variables into the expressions of these coordinates to get the answer.
→
→
→
→
→
→
→
.
Thus the coordinates of B are:
Answer:
<h2>11x - 5</h2><h2> or</h2><h2>
x = -5 / 11</h2>
Step-by-step explanation:
3 (2x - 5) + 20 + 5x
= 6x - 15 + 20 + 5x
= 6x + 5x = 15 - 20
= 11x - 5
or if you are looking for x:
then x = -5 / 11
Step-by-step explanation:
By Pythagoras' Theorem,
we have x² + (x + 2)² = (x + 4)².
=> 2x² + 4x + 4 = x² + 8x + 16
=> x² - 4x - 12 = 0
(The constants are a = -4, b = -12)
=> (x - 6)(x + 2) = 0
=> x = 6 or x = -2
The value x = -2 is rejected as side lengths cannot be negative.
Hence we have x = 6.
=> AB = 6cm, BC = 8cm, AC = 10cm.
P.S. What you see above is the full solution. You just need to type x² - 4x - 12 = 0 in the blank.
