Answer:
The lines don't intercept
Step-by-step explanation:
we have
isolate the variable y
Divide by 3 both sides
simplify
-----> equation A
Isolate the variable y
Divide by 6 both sides
simplify
-----> equation B
Compare equation A and equation B
The slopes are the same and the y-intercepts are different
Remember that
If two lines has the same slope, then the lines are parallel
therefore
In this problem line A and line B are parallel lines
The system of equations has no solution, because the lines don't intercept
Answer:
A
Step-by-step explanation:
For any point (x, y ) on the parabola the focus and directrix are equidistant
Using the distance formula
= | y - 8 |
Squaring both sides gives
(x - 2)² + (y - 4)² = (y - 8)²
(x - 2)² + y² - 8y + 16 = y² - 16y + 64 ( rearrange and simplify )
(x - 2)² = - 8y + 48
8y = - (x - 2)² + 48
y = - 
(x - 2)² + 6 → A
Answer:
120°
Step-by-step explanation:
A line must add up to 180°.
The sum of angles in a triangle also adds up to 180°.
Step 1: Find measures interior angles.
3x = 180
x = 60°
Step 2: Find measures of exterior angels.
x + 60 = 180
x = 120°
Answer:
72
Step-by-step explanation:
If SR and RU have the same length, a right angle, and a shared side, we know that they are congruent triangles using SAS (Side Angle Side). Our equation to find the perimeter would be SR + RU + UT + TS or 16 + 16 + 20 + 20(using our knowledge of the congruent triangles) = 72.
