Answer:
2
Step-by-step explanation:
The distances have the ratio:
(C -A) = (2/3)(B -A)
C = (2/3)B +(1/3)A . . . . . add A
C = (2B +A)/3 . . . . . . . . combine terms
C = (2(4) +(-2))/3 = 6/3 = 2
The coordinate of C is 2.
2 1/2 yds = 2.5 x 36 = 90 inches...what she started with
2 ft 8 in = 2(12) + 8 = 32 inches...what she had left
90 - x = 32
90 - 32 = x
x = 58 inches....so she used 58 inches
Answer:
The perpendicular line is:
y = 1/3 x + 2/3
Step-by-step explanation:
The given equation can be reduced to its slope-intercept form as shown below:
3x + 9y = 8y - 2
subtract 8 y from both sides
3 x + y = -2
subtract 3 x from both sides
y = - 3 x -2
therefore we know that the slope of this line is -3, and then, a perpendicular line to it must have slope given by the "opposite of the reciprocal" of this slope. That is, the slope of any perpendicular line to this one must be: 1/3
We use this slope to find the equation of the line passing through the point (13. 5)
y = 1/3 x + b
passing through (13, 5) means:
5 = 1/3 (13) + b
therefore, we can find b from the above equation
b = 5 - 13/3 = 15/3 - 13/3 = 2/3
Then the equation of this perpendicular line is:
y = 1/3 x + 2/3
Answer:
x = 30 I'm sure hope this helps
Answer:
x = 44
Step-by-step explanation:
Opposite angles in a parallelogram are congruent, so ...
104 = 2x +16
88 = 2x . . . . . . subtract 16
44 = x . . . . . . . divide by 2
