Step-by-step explanation:
or, 6m=5/13
or, m=5/13 ×6m
m=30/13
Answer:
The equation of the circle can be written as:
Step-by-step explanation:
The general equation of a circle with center
and radius
is:

In our example, we know
, as we just have to make sure we need determine
.

As the circle passes through (10, 14), that pair of values for x and y must satisfy the equation. So we have:






Thus the equation of the circle can be written as:

Answer:
y=x-3
Step-by-step explanation:
Everytime the x value increases the y value increases by 1
therefore the slope is 1
to solve for the y intercept, or b, plug in a point
(1,-2) for example,
-2= 1*1+b
-2= 1+b
b= -3
therefore y=x-3
Statements Reasons
1. M lies on AB Given
2. AM+MB=AB Definition of midpoint
3. 2x+2+4x-4 = 16 Segment Addition Postulate
4. 6x-2 = 16 Combining like terms
5. 6x = 18 Addition Property of equality
6. x = 3 Division Property of equality
7. AM=2(3)+2 and MB=4(3)-4 Substitution property of equality
8. AM=8 and MB=8 Definition of midpoint
9. M is a midpoint Hence, proved.