Answer:
Step-by-step explanation:
In y = mx + b form, the slope can be found in the m position and the y intercept can be found in the b position.
4x - 2y = -6
-2y = -4x- 6
y = (-4/-2)x -(6/-2)
y = 2x + 3....slope here is 2, and y int is 3
3x + y = 3
y = -3x + 3.....slope here is -3, and y int is 3
B. slopes are different, y intercepts are the same
Answer:
x = 12
Step-by-step explanation:
The segment from the vertex to the base is a perpendicular bisector.
Using Pythagoras' identity on the right triangle on the right.
(
x )² + 3² = (
)² , that is
x² + 9 = 45 ( subtract 9 from both sides )
x² = 36 ( multiply both sides by 4 )
x² = 144 ( take the square root of both sides )
x =
= 12
Answer:
-25
Step-by-step explanation:
Evaluate -x - 6 x + 10 where x = 5:
-x - 6 x + 10 = -5 - 6×5 + 10
-6×5 = -30:
-5 + -30 + 10
-5 - 30 + 10 = 10 - (5 + 30):
10 - (5 + 30)
5 + 30 = 35:
10 - 35
10 - 35 = -(35 - 10):
-(35 - 10)
| 3 | 5
- | 1 | 0
| 2 | 5:
Answer: -25
The general equation of the circle is expressed as (x-h)2 + (y-k)2 = r2 where (h,k) is the center of the circle. we are are given the center of the circle at (0,0) so the expression is simplified to <span>(x)2 + (y)2 = r2. given the other point, r2 is equal to 41. hence the final equation is x2 + y2 = 41</span>