Answer:
The answer is 6.403
Step-by-step explanation:
Using the pythagorean theorem, a^2+b^2=c^2, we can plug 4 units into a, and 5 units into b. Plugging these into the formula results in 4^2 + 5^2 = c^2. Simplifying, we get 16 + 25 = c^2. Simplifying even more, we get 41 = c^2. Using a calculator to get the square root of both sides results in c = 6.40312424.
9514 1404 393
Answer:
28%
Step-by-step explanation:
If x represents the fractional increase in the number of mathletes, and if problem-solving speed is jointly proportional to their speed and their number, we want ...
(1 +25%)(1 +x) = (1 +60%)
1 +x = 1.60/1.25 = 1.28
x = 0.28 = 28%
The team size must increase by 28% to solve all of the problems on time.
A system of equations with one polynomial function of degree two and one linear function will have two solutions when the line intersects the parabola at two points.
A system of equations with one polynomial function of degree two and one linear function will have no solution when the line does not intersects the parabola.
A system of equations with one polynomial function of degree two and one linear function will have one solution when the line intersects the parabola at one point.
To answer these questions, you need to know what slope intercept form is, which is y=mx +b (m is the slope)
An example is y=4x-2
So, you have y=6. the slope is zero, so you just have y=6.
This happens as well for y=-4.
For the last equation, isolate y so it would be y=x-4
