X can not = 0 because if I did your answer would not be a fraction it would be 0
Answer:x=1/108 is your answer
-5/6x-1/9x=-102
1/x(-5/6-1/9)=-102
1/x=-102/(-17/18)=-102×-18/17=108
x=1/108
Answer:
As the wheel makes this 270 degree counterclockwise rotation about the origin, the y-coordinate of the first car decreases from 80 to 0 and then further from 0 to -80, and finally increases to 0.
The x-coordinate decreases from 0 to -80 and then increases to 0; from there it increases further to 80.
Thus, the coordinates of the first car, after this 270-degree rotation, are (80, 0).
The [# of sides (n) - 2] × 180° is the formula for the sum of interior angles (IAs) in a regular polygon. And so that sum of all IAs ÷ IA = n
Each central angle is opposite of one side.
And all of the central angles add up to 360°, therefore 35×n = 360
35n/35 = 360/35 = 10.29, but we need to verify: each 35° central angle forms an isosceles triangle with a side of the polygon, and each opposite angle (x) is 1/2 of an interior angle. All 3 angles of a triangle sum to 180°, and 2 angles (x) are equal in an isosceles, so
x + x + 35 = 180
2x + 35 = 180
2x = 145
2x/2 = 145/2
x = 72.5
And each x is 1/2 of an interior angle (IA), therefore 2x = IS
IA = 2 (72.5) = 145
(n - 2) × 180° = IA × n
(n - 2) × 180° = 145n
(n - 2) × 180°÷180 = 145n/180
n - 2 = 29n/36
36n/36 - 72-36 = 29n/36
(36n/36 - 72-36)×36 = (29n/36)×36
36n - 72 = 29n
36n - 29n = 72
7n = 72
7n/7 = 72/7
n = 10.29
Are you sure the central angle was 35, not 36°?? Because we don't get a whole number as the # of sides. How can we have 0.29 of a side?
Answer:
It touches the x-axis once, but does not intersect it
Step-by-step explanation:
I'm assuming it's supposed to be y = x² + 10x + 25. This equation does not intersect the x-axis, but it does touch the x-axis.
Solve the equation for x...
0 = x² + 10x + 25
factor...
0 = (x + 5)(x + 5)
The solution repeats, this means that the function touches the x-axis and then bounces off, but doesn't intersect it. Intersect meant to cross the line, here it just touches it.
See the attached photo to see the graph...
