We have been given an equation
. We are asked to fill in the blanks using our given equation.
The axis of symmetry will be the vertical line passing through vertex.
First of all, we will convert our given equation in standard vertex form of parabola as:
Standard vertex form of parabola:
, where (h,k) is vertex of parabola.
![f(x)=(x-(-3))^2-8](https://tex.z-dn.net/?f=f%28x%29%3D%28x-%28-3%29%29%5E2-8)
Upon comparing our function with standard vertex form, we can see that vertex of parabola is at
.
The axis of symmetry will be vertical line passing through point
. The vertical line will pass through
, therefore, the axis of symmetry is
.
Since our given parabola is an upward opening parabola, so it has a minimum at
. This means that parabola will intersect the x-axis at two points. Therefore, there are two real solutions for the given function.
Answer:
x=70
y= 40
Step-by-step explanation:
the triangle containing x is an isosceles triangle so two of the sides are 55.
55+55+x=180.
110+x=180
110-110+x=180-110
x=70
Triangle BAC is equilateral so 180/3=60. Now
x+60+c=180
70+60+c=180
130+c=180
130-130+c=180-130
c=50
That gives us one corner of triangle CBD. We know a second angle is 90 so
50+90+y=180
140+y=180
140-140+y=180-140
y=40
I think that is correct but you are free to check it yourself
So, by multiplying the exponents, you would add all of the square roots together. For example for your question you would add 1+1+4+5=11 so the answer is c to the power of 11
Answer:
B
Step-by-step explanation:
25% of 800 is 200, so 800-200 is 600