Answer:
x = 1
Step-by-step explanation:
The line of symmetry is defined as the x value of the vertex of a parabola.
To find the vertex of a parabola, we need to convert to vertex form.
Vertex form looks like this:
, where -h is the x value of the vertex and k is the y value of the vertex.
H is also defined as 
where a is the coefficient of x squared and b is the coefficient of the x term.
The coefficient of the x squared term is 1 and the coefficient of b is -2.
Plugging in, we get 
, which is equal to 1. This can then be plugged into the equation as
, but k doesn't matter because all we need is the x-term. Now, our x-term is negative h, which is negative negative one, which is positive one. Therefore, our answer is x = 1.
Writing it in perpendicular form is easy as 1, 2, 3.
First you should put it in y = mx + b Form (Slope intercept)
#1: y = x + 7
Simply flip the reciprocals
#2: y = -x + 7
Answer:
No, the line should be parallel to the Triangular faces
Step-by-step explanation:
The solution to the problem is as follows:
<span>'(t) = 0 gives:
-24t + 60 = 0
t = 2.5
For this t, the second derivative s"(t) = -24 is negative.
And so, s(t) is maximum for t = 2.5.
Maximum height is:
S = -12(2.5)^2 + 60(2.5) +8 = 233ft
</span>
I hope my answer has come to your help. God bless and have a nice day ahead!
Answer:
18° and 72°
Step-by-step explanation:
The angle measures are unknown, so they will be represented with the variable, x. Since, one angle is 4 times the other, this will be represented with 4x.
To find complementary angles, they are added together and equal 90. So let's create an equation.
x + 4x = 90
Now solve for x.
5x = 90
5x/5 = 90/5
x = 18
One angle is 18°.
Now find the second angle.
4x
plugin 18 for x and multiply
4(18) = 72
