Answer:
1. y-25=5/2(x-14)
2.
3. 5x-2y=20
Step-by-step explanation:
first, find the slope, m.
slope = rise/run = (75-25)/(34-14)= 50/20 = 5/2
1. point slope form: y-25=5/2(x-14)
2.
3. switch the y to the right side: (5/2)x-y-10=0 --> (5/2)x-y=10
5x-2y=20
Answer:
x = 9
Step-by-step explanation:
The two opposite interior angles that are opposite to the exterior angle are congruent as shown in the diagram.
Therefore, based on the exterior angle theorem of a triangle, we have the following equation:
2(7x + 2)° = (17x - 23)
14x + 4 = 17x - 23
Collect like terms
14x - 17x = -4 - 23
-3x = -27
Divide both sides by -3
-3x/-3 = -27/-3
x = 9
{-3x - 10y = -4} Answer: x = − 10/3y + 4/3
{x - 5y = 18} Answer: x = 5y + 18
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Start by representing the lengths of the three sides of your triangle:
first side: x-4 (inches)
second side: x (inches)
third side: (x-4) + 3 (inches)
Add these three quantities up to obtain a formula for the perimeter, and set your sum equal to the given perimeter (15 inches):
x-4 + x + x-4 -3 = 15
3x-11=15
3x=26
x=26/3
Thus, the length of the 2nd side is 26/3; that of the first side is 26/3-4, or 14/3; and that of the third side is 14/3+3, or 23/3 (all measurements in inches).