Answer:
(13)
<u>x= 8</u>
<u>y=11</u>
(14)
<u>x= 20</u>
<u>y=20.75</u>
(15)
<u>x=9</u>
<u>y=13</u>
Step-by-step explanation:
(13) 8x-1 = 11x -25
24=3x
<u>x= 8</u>
8(8)-1 +15y-48= 180
15y=165
<u>y=11</u>
(14) 7x-44 + 4x + 4= 180
11x= 220
<u>x= 20</u>
4(20)+4+39= 8y-43
123=8y-43
166=8y
<u>y=20.75</u>
(15) 12x+1=15x-26
3x=27
<u>x=9</u>
28+15(9)-26+4y-9=180
4y=52
<u>y=13</u>
One mile equals 5,280 feet, therefore you would multiply 12 x 5,280 which is 63360 feet per hour.
Answer:
slope = 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x + 10 ← is in slope- intercept form
with slope m = 1
Answer:
The answer is that x = 6 and y = -6
Step-by-step explanation:
In order to find these values, we can use elimination. To do so, we multiply the first equation by 2 and then add the equations together.
4x + 8y = -24
-4x - 2y = -12
------------------
6y = -36
y = -6
Now that we have this value, we can plug the value into one of the originals and find x.
2x + 4y = -12
2x + 4(-6) = -12
2x - 24 = -12
2x = 12
x = 6
You can either find the roots of the quadratic formula using the quadratic formula two find the halfway point or you can use the formula t=-b/2a. Both of the two methods gives you the axis of symmetry (the t value for the vertex).
I will use the second method since I don't like using the quadratic formula.
t=-32/(2x-16)
t=1 second
After you find the t value for the axis of symmetry, you plug it into the formula of the graph to find the height.
h=-16+32+14
h=30 feet
