13 + 2p = 63
2p = 63 - 13
2p = 50
p = 50/2
p = 25 <== 25 bucks for each pass
Answer:
Opening: Opens upwards
Axis of Symmetry: -7/2
Vertex: (-7/2, -81/4)
X - intercepts: (1, 0) and (-8, 0)
Y - intercept: (0, -8)
Step-by-step explanation:
Opening: 'a' is greater than zero
Axis of Symmetry:
Vertex:
X - intercepts:
(x-1)(x+8)
x = 1 and x = -8
Y - intercept: (0, -8)
By solving a system of equations, we will see that m measures 12 units.
<h3>
How to get the measure of m?</h3>
Notice that we have 3 right triangles.
Then we can write the equations:
cos(a) = 6/m
For the small triangle on the left, where m is the hypotenuse.
cos(a) = m/(6 + 18)
For the larger triangle (the one composed of the two triangles).
Where in both equations, angle "a" is the one in the top left.
Then we have the system of equations:
cos(a) = 6/m
cos(a) = m/(6 + 18)
Then we can write:
6/m = m/(6 + 18)
If we simplify the expression, we get:
6*(6 + 18) = m^2
6*(24) = m^2
144 = m^2
√144 = m = 12
Then we conclude that m measures 12 units.
If you want to learn more about right triangles:
brainly.com/question/2217700
#SPJ1
Answer:
No
Step-by-step explanation:
To determine if the point (- 3, 5) is a solution to both equations.
Substitute the x and y values into the left side of both equations and if equal to the right sides then the point is a solution.
x - 3y = - 3 - 3(5) = - 3 - 15 = - 18 ← True
- 2x + y = - 2(- 3) + 5 = 6 + 5 = 11 ← False
Thus (- 3, 5) is not a solution to the system of equations.
320
I am positive it's correcf
