Answer:
b false
Step-by-step explanation:
Mark Brainliest please
Answer :
a = 1, b = -8, c = -5
Explanation
A standard form for the quadratic function is f(x) = ax2 + bx + c where the coefficients are a, b, and c.
The given quadratic function is f(p) = P2 - 8P - 5 When this function is compared to the standard form, with p replacing x, we obtain a = 1 because the leading term is 1*p2, b = -8 because the linear term is -8*p, c = -5 because the constant term is -5.
Answer is : a = 1, b = -8, c = -5.
The line y = x and y = -x + 4 intersect when at the point (2, 2).
Expresing y = -x + 4 in terms of x, we have x = 4 - y.
Thus, the area of the region bounded by the <span>graphs of y = x, y = −x + 4, and y = 0 is given by
![\int\limits^2_0 {(y-(4-y))} \, dy = \int\limits^2_0 {(y-4+y)} \, dy \\ \\ = \int\limits^2_0 {(2y-4)} \, dy= \left[y^2-4y\right]_0^2 =|(2)^2-4(2)| \\ \\ =|4-8|=|-4|=4](https://tex.z-dn.net/?f=%20%5Cint%5Climits%5E2_0%20%7B%28y-%284-y%29%29%7D%20%5C%2C%20dy%20%3D%20%5Cint%5Climits%5E2_0%20%7B%28y-4%2By%29%7D%20%5C%2C%20dy%20%5C%5C%20%20%5C%5C%20%3D%20%5Cint%5Climits%5E2_0%20%7B%282y-4%29%7D%20%5C%2C%20dy%3D%20%5Cleft%5By%5E2-4y%5Cright%5D_0%5E2%20%3D%7C%282%29%5E2-4%282%29%7C%20%5C%5C%20%20%5C%5C%20%3D%7C4-8%7C%3D%7C-4%7C%3D4)
Therefore, the area bounded by the lines is 4 square units.
</span>
Multiply both sides by <span>cos</span><span>
</span><span>r<span>cos<span>(θ)</span></span>=<span>sec<span>(θ)</span></span><span>cos<span>(θ)</span></span>=1</span><span>
</span><span>x=r<span>cos<span>(θ)</span></span></span><span>
</span><span>x=1</span>
Answer:
45,489.6 pounds!
Step-by-step explanation:
To solve this problem, first we need to find the volume of the pool.
We know that the dimensions of the pool are:
Width = 9ft
Length = 18ft
Height = 54in = 4.5 ft
So the volume of the pool is:
Volume = Width x Length x Height = 9ftx18ftx4.5ft = 729ft^3
We know that one cubic foot of water weights about 62.4 pounds. To fill the pool, we will need 729ft^3 of water.
So the weight of the water is:
Weight = 729ft^3 x 62.4 pounds/ft = 45,489.6 pounds!
