PLEASE HELP ME :) Solve for x on this triangle
1 answer:
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Hey there! :)
Answer:
y + 32 = 3(x + 8)
Step-by-step explanation:
Begin by finding the slope of the line using the slope formula:
Plug in the coordinates of the points into the equation:
Simplify:
m = 3.
Point-slope form is:
y-y₁=m(x-x₁)
Plug in the coordinates of the first point, as well as the slope:
y - (-32) = 3(x - (-8)
y + 32 = 3(x + 8)
For this case we have the following system of equations:
Equating the equations we have:
To find the solutions we factor the equation. To do this, we look for two numbers that, when multiplied, result in -3 and when added, result in -2.
These numbers are: -3 and +1
Thus, the factored equation is:
Then, the solutions for the variable "x" are:
We find the solutions for the variable "y":
Thus, the solutions are:
ANswer:
Answer:
Option (C)
Step-by-step explanation:
There are two inequalities,
t - 4 ≥ 4t + 8 ------(1)
3t > 14 - 4t ------(2)
By simplifying inequality (1),
t - 4 ≥ 4t + 8
t ≥ 4t + 8 + 4
t ≥ 4t + 12
t - 4t ≥ 12
-3t ≥ 12
t ≤
t ≤ -4
By solving inequality (2),
3t > 14 - 4t
3t + 4t > 14
7t > 14
t >
t > 2
From the given graphs, Option (C) will be the answer.