11.
slope intercept is solve for y
12x+y=-5
y=-12x-5
12. y-y1=m(x-x1)
a point is (x1,y1) and slope is m
y+2=(-2/3)(x+3)
y+2=(-2/3)x-2
y=(-2/3)x+0
13.
slope find
(-1-2)/(-5-0)
-3/-5=3/5
given (0,2)
yint is 2
y=mx+b
b=yint
y=(3/5)x+2
14.
initially (x=0) y intercept is 9
speed is slope is -6 because getting close to home
y=-6x+9
a. standard form is solve for constant
6x+y=9
b. y intercpet is 9 that is how far you are away from home at start
c. x intercept is where y=0 or when you reach home
that is
0=-6x+9
6x=9
x=3/2
at 3/2 hours or 1.5hours
Answer:
Δx= 184.12 ft
Step-by-step explanation:
The equation you need to use is velocity as a function of displacement.

v = the speed at which the car is travelling,
and
v_o is the original speed (in this case zero).
The change in x (displacement) is how far the car travels. You will be solving for a (acceleration).

solving we get
a= 12.19
now put this acceleration value into the second case when v= 67mi/h

⇒Δx= 184.12 ft
Answer:
No it is not a function.
Step-by-step explanation:
Hope it helped!
<h2>
a. What is your equation?</h2>
This is a problem of projectile motion. A projectile is an object you throw with an initial velocity and whose trajectory is determined by the effect of gravitational acceleration. The general equation in this case is described as:

Where:

So:

Finally, the equation is:

<h2>b. How long will it take the rocket to reach its maximum height?</h2>
The rocket will reach the maximum height at the vertex of the parabola described by the equation
. Therefore, our goal is to find
at this point. In math, a parabola is described by the quadratic function:

So the x-coordinate of the vertex can be calculated as:

From our equation:

So:

So the rocket will take its maximum value after 1.99 seconds.
<h2>
c. What is the maximum height the rocket will reach?</h2>
From the previous solution, we know that after 1.99 seconds, the rocket will reach its maximum, so it is obvious that the maximum height is given by
. Thus, we can find this as follows:

So the maximum height the rocket will reach is 66.68ft
<h2>
d. How long is the rocket in the air?</h2>
The rocket is in the air until it hits the ground. This can be found setting
, so:

We can't have negative value of time, so the only correct option is
and rounding to the nearest hundredth we have definitively:

The sum of the interior angles of a hexagon is equal

Calculatle the measure of the other interior angle:
Answer: 122°