Tangent is opposite/adjacent so it would 60/25 which simplifies to 12/5
Answer:
It is C. 233 because if you multiply 5x5x5 thats 125
If you multiply 12x3x3, its 108. So add 108+125 and that will be your final answer. Hope this helps and if so then please mark as brainliest. Remember that volume= length x width x height.
The values of h and k when f(x) = x^2 + 12x + 6 is in vertex form is -6 and -30
<h3>How to rewrite in vertex form?</h3>
The equation is given as:
f(x) = x^2 + 12x + 6
Rewrite as:
x^2 + 12x + 6 = 0
Subtract 6 from both sides
x^2 + 12x = -6
Take the coefficient of x
k = 12
Divide by 2
k/2 = 6
Square both sides
(k/2)^2 = 36
Add 36 to both sides of x^2 + 12x = -6
x^2 + 12x + 36= -6 + 36
Evaluate the sum
x^2 + 12x + 36= 30
Express as perfect square
(x + 6)^2 = 30
Subtract 30 from both sides
(x + 6)^2 -30 = 0
So, the equation f(x) = x^2 + 12x + 6 becomes
f(x) = (x + 6)^2 -30
A quadratic equation in vertex form is represented as:
f(x) = a(x - h)^2 + k
Where:
Vertex = (h,k)
By comparison, we have:
(h,k) = (-6,-30)
Hence, the values of h and k when f(x) = x^2 + 12x + 6 is in vertex form is -6 and -30
Read more about quadratic functions at:
brainly.com/question/1214333
#SPJ1
Answer:
37.5 miles per hour
Step-by-step explanation:
The question might be trying to confuse the reader. Point (1) which states the difference in weight does not show any evidence on how it affects the speed of both cyclist. Point (2) show an important point where the distance traveled is 75 miles.
Cyclist B, who leave point X at 2pm overtook cyclist A at 4pm, showing that the time it took for B to overtook A is 2 hours
Speed = distance / time
= 75 miles / 2 hours
= 37.5 miles per hour
