Answer:
Students
Step-by-step explanation:
Teachers: 13/20= 0.65 = 65%
Students: 37/50= 0.74 = 74%
74% > 65%
Students are more in favor of the new club than teachers
The area of a square is length x width, but as all sides of a square are equal, then you can simply square the length of one side of the square.
The length of the square in your problem is 10 feet, so all sides have a length of 10 feet. You can write the problem for getting the area as 10x10 or 10-squared (10^2).
The answer would be 100 feet.
Answer:
5 x^2 y (9 x y + 1)
Step-by-step explanation:
Factor the following:
45 x^3 y^2 + 5 x^2 y
Factor common terms out of 45 x^3 y^2 + 5 x^2 y.
Factor 5 x^2 y out of 45 x^3 y^2 + 5 x^2 y:
Answer: 5 x^2 y (9 x y + 1)
Answer:
<h3>
(2, 124)</h3>
Step-by-step explanation:
f(x) = a(x - h)² + k - the vertex form of the equation of the parabola with vertex (h, k)
![f(x) = -16x^2+ 64x + 80\\\\f(x) = -16(x^2- 4x) + 80\\\\f(x) = -16(\underline {x^2-2\cdot2x\cdot2+2^2}-2^2) + 80\\\\f(x) = -16\big[(x-2)^2-4\big] + 80\\\\f(x) = -16(x-2)^2+64 + 80\\\\\bold{f(x)=-16(x-2)^2+124\quad\implies\quad h=2\,,\quad k=124}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20-16x%5E2%2B%2064x%20%2B%2080%5C%5C%5C%5Cf%28x%29%20%3D%20-16%28x%5E2-%204x%29%20%2B%2080%5C%5C%5C%5Cf%28x%29%20%3D%20-16%28%5Cunderline%20%7Bx%5E2-2%5Ccdot2x%5Ccdot2%2B2%5E2%7D-2%5E2%29%20%2B%2080%5C%5C%5C%5Cf%28x%29%20%3D%20-16%5Cbig%5B%28x-2%29%5E2-4%5Cbig%5D%20%2B%2080%5C%5C%5C%5Cf%28x%29%20%3D%20-16%28x-2%29%5E2%2B64%20%2B%2080%5C%5C%5C%5C%5Cbold%7Bf%28x%29%3D-16%28x-2%29%5E2%2B124%5Cquad%5Cimplies%5Cquad%20h%3D2%5C%2C%2C%5Cquad%20k%3D124%7D)
<u>The vertex is </u><u>(2, 124)</u>
The distance between any 2 points P(a,b) and
Q(c,d) in the coordinate plane, is given by the formula:<span>
<span> 
</span></span>
Using this formula we calculate the distances |PA|, |PB|, |PC|, |PD| and |PE| and compare to 5.
Answer: B and D
