Answer:
x = 58
Step-by-step explanation:
Angle Formed by Two Secants
= 1/2(difference of Intercepted Arcs)
51 =1/2 (160-x)
Multiply each side by 2
102 = 160-x
Subtract 160 from each side
102-160 = -x
-58 = -x
Multiply by -1
58 =x
There are 2 options to solve that.
1. The first one is by derivatives.
f(x)=x^2+12x+36
f'(x)=2x+12
then you solve that for f'(x)=0
0=2x+12
x=(-6)
you have x so for (-6) solve the first equation, then you find y
y=(-6)^2+12*(-6)+36=(-72)
so the vertex is (-6, -72)
2. The second option is to solve that by equations:
for x we have:
x=(-b)/2a
for that task we have
b=12
a=1
x=(-12)/2=(-6)
you have x so put x into the main equation
y=(-6)^2+12*(-6)+36=(-72)
and we have the same solution: vertex is (-6, -72)
For next task, I will use the second option:
y=x^2-6x
x=(-b)/2a
for that task we have
b=(-6)
a=1
x=(6)/2=3
you have x so put x into the main equation
y=3^2+(-6)*3=(--9)
and we have the same solution: vertex is (3, -9)
Answer:
16m=64
Or
16 x m = 64
4 marbles
Step-by-step explanation:
Answer:
Choice D.
Step-by-step explanation:
The range is the set of all y-coordinates of the points in the graph.
The graph is a wavy function that has a maximum y-coordinate of 1 and a minimum y-coordinate of -1. The y-coordinates can also be all numbers between -1 and 1. Choice A. is only the two numbers -1 and 1. That is not correct since the range comprises the numbers -1, 1, and all numbers in between -1 and 1.
Answer: Choice D.
Answer:
18
Step-by-step explanation:
