Consider the equation y=1/4(x+2)(x-6). is it easier to find the x-intercepts of this equation or the vertex? why?

x intercepts are easier. They are almost just read.

Step-by-step explanation:

The x intercepts are easier to find. You can almost just read them.

x + 2 = 0     Subtract 2 from both sides.

x = - 2          Answer

x - 6 = 0      Add 6 to both sides.

x = 6            Answer

So the x intercepts are (6,0) and (-2,0)

Now to the vertex. You could average the two x intercepts.  But that will give you only the x value of the vertex. (6 - 2)/2 = (4)/2 = 2

But you still have to get the y value.

y(2) = (1/4)*(x + 2)( x - 6)            Substitute 2 in for both xs

y(2) = (1/4)* (2 + 2) (2 - 6)          Combine the terms

y(2) = (1/4) * 4 * - 4                     multiply the 1/4 * 4 which gives 1

y(2) = 1 *- 4 = - 4

The vertex is (2,-4)

Note: If you do this the long way. The 1/4 has to be taken into account. Here we don't have to. The final result is

y = (1/4)(x - 2)^2 - 4

and even then, the - 4 gives some trouble. The x intercepts are much easier.

the correct answer is a.) bc< mn 5 stars if this you : )

step-by-step explanation:

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west