If you are solving for y, your answer is -1.
First, x=4 so plug in the 4 in every into every x.
Second, 4^2 is 16. 8(4) is 32.
Third, 16 - 32 + 15= -1
To find the circumference of the circle you need to do dπ. 22×π is 22π. That equals approximately 69.12. Since he walks around it 5 times, 69.12×5 is 345.6 yards.
Answer:
ABOVE the x-axis
Step-by-step explanation:
Please use "^" to denote exponentiation: y = x^2 + 2x + 3
To find the vertex, we must complete the square of y = x^2 + 2x + 3, so that we have an equivalent equation in the form f(x) = (x - h)^2 + k.
Starting with y = x^2 + 2x + 3,
we identify the coefficient of x (which is 2), take half of that (which gives
us 1), add 1 and then subtract 1, between "2x" and "3":
y = x^2 + 2x + 1 - 1 + 3
Now rewrite x^2 + 2x + 1 as (x + 1)^2:
y = (x + 1)^2 - 1 + 3, or y = (x + 1)^2 + 2. Comparing this to f(x) = (x - h)^2 + k, we see that h = 1 and k = 2. This tells us that the vertex of this parabola is at (h, k): (1, 2), which is ABOVE the x-axis.
Answer: 9+23p ≤ 170
Step-by-step explanation:
9+23p≤170
23p ≤ 170-9
23p ≤ 161/23
p≤7
Answer:
The maximum safe rescue height is 104.6 feet above the height of the ground.
Step-by-step explanation:
Consider a triangle ABC where C is the point where the rescue ladder is standing and AB be the building and Ladder making an angle of 72° as shown.
We have to find the height of the building.
Let x be the height of building
Using Trigonometric ratio,
So, the maximum safe rescue height is 104.6 feet above the height of
the ground.
