Answer:
56.5
Step-by-step explanation:
To find the y intercept you must substitute 0 into x.
F(x) = (-3x0) - (6x0) - 5
F(x) = -5
To find the axis of symmetry and vertex we use the formula -b/2a to find the x coordinate
x = 6/(-3x2)
x = 6/-6
x = -1
Now we need to find the y coordinate so we sub -1 into x.
F(x) = (-3x-1) - (6x-1) - 5
F(x) = 3 + 6 - 5
F(x) = 4
The axis of symmetry and vertex are (-1,4) and the y coordinate is -5. Hope this helps.
Answer:
Rotate counter clockwise about the center point 180 degrees
Step-by-step explanation:
You can use transformations to preserve shape and size but move a shape or change its position. Transformations include:
- reflection - a flip across an axis
- rotation - a turn around a point
- translation - a slide a specific distance and direction
To map the red into the blue, you can rotate it counter clockwise about the center point which the red and blue shapes share 180 degrees. It will land exactly on the red.
Answer:
d = 6+sqrt(42)=12.4807407
Step-by-step explanation:
h= -d² + 12d + 6
The ball is caught at ground level which means h=0
0 = -d² + 12d + 6
Subtract 6 from each side
-6 = -d^2 +12d
Factor out a - sign
-6 =-(d^2-12d)
Divide by -1
6 = d^2 -12 d
Complete the square
-12/2 = -6 then square it = 36
Add 36 to each side
6+36 = d^2 -12d +36
42 = (d-6)^2
Take the square root of each side
±sqrt(42) = sqrt( (d-6)^2)
±sqrt(42) = (d-6)
Add 6 to each side
6±sqrt(42) = (d-6)+6
6±sqrt(42) = d
d = 6+sqrt(42)=12.4807407
d =6- sqrt(42)=-.480740698
Since the distance cannot be negative
Answer:
a(n) = -351+8(n-1)
Step-by-step explanation:
This is an arithmetic sequence. Each new term is equal to the sum of the previous term and 8.
The expression you want is a(n) = -351+8(n-1)