C. y= [25,100]
you need brackets because the points actually touch the number
We all know that a triangle has 180 degrees.
3x-8+5x-6+4x+2=180
12x-12=180
12x=180+12
12x=192
x=16.
∠A=2(16)+8=40
∠B= 90-16=74
∠C = 5(16) -14= 66
Answer:
a) 67 inches (y-intercept)
b) Vertex form y=(x+8)^2+3
c) Difference is 64 inches (vertex minus y intercept)
To solve this problem you must aply the proccedure shown below:
You have the following quadratic equation: a^2-a+11=0 and to solve it you must apply the quadratic formula x=-b√(b^2-4ac)/2a
a=1
b=-1
c=11
The result is
a1=(1-i√43)/2
a2=(1+i√43)/2
The answer is:a1=(1-i√43)/2 and a2=(1+i√43)/2
Answer:
<em>The SUV is running at 70 km/h</em>
Step-by-step explanation:
<u>Speed As Rate Of Change
</u>
The speed can be understood as the rate of change of the distance in time. When the distance increases with time, the speed is positive and vice-versa. The instantaneous rate of change of the distance allows us to find the speed as a function of time.
This is the situation. A police car is 0.6 Km above the intersection and is approaching it at 60 km/h. Since the distance is decreasing, this speed is negative. On the other side, the SUV is 0.8 km east of intersection running from the police. The distance is increasing, so the speed should be positive. The distance traveled by the police car (y) and the distance traveled by the SUV (x) form a right triangle whose hypotenuse is the distance between them (d). We have:

To find the instant speeds, we need to compute the derivative of d respect to the time (t). Since d,x, and y depend on time, we apply the chain rule as follows:

Where x' is the speed of the SUV and y' is the speed of the police car (y'=-60 km/h)
We'll compute :


We know d'=20 km/h, so we can solve for x' and find the speed of the SUV

Thus we have

Solving for x'

Since y'=-60


The SUV is running at 70 km/h