A) The length of the longer leg is x-1
b) Based on the area, the other leg is 2*30/(x -1). Based on the Pythagorean theorem, the other leg is √(x^2 -(x -1)^2).
c) Equating the two expressions for the shorter leg, we have
.. 60/(x -1) = √(2x -1)
.. 3600/(x -1)^2 = (2x -1)
.. (2x -1)(x^2 -2x +1) = 3600
.. 2x^3 -5x^2 +4x -3601 = 0
d) There is one positive real root, at x=13. A graphical solution works well.
The three sides of the triangle are 5 in, 12 in, 13 in.
_____
5-12-13 is a well-known Pythagorean triple. It is the next smallest one after 3-4-5.
Answer:
40 miles
Step-by-step explanation:
You would have to start by doing $120 - $96 for the per-day fee, which leaves Calvin with $24 to spend on miles.
Next you would do $24 ÷ $0.60 to find the number of miles he can drive, which is 40 miles.
Answer:
The polynomial is:
Step-by-step explanation:
Zeros of a function:
Given a polynomial f(x), this polynomial has roots 
such that it can be written as: 
, in which a is the leading coefficient.
Zeros of −3, −1, and 2
This means that 
. Thus
Passes through the point (1,12).
This means that when 
. We use this to find a.
Thus
There are 2 possibilities for where A can be: one where C is 30° (and A is 60°) and another where C is 60° (and A is 30°). Since it's not specified, we can find both.
30°:
drawing the triangle on a graph, you can see that point C is 4 units above point B, so we know that one side of the triangle is 4. Once we find the other "leg" of the triangle (the one that's parallel to the x-axis), we can just add that value to B to find the x coordinate of A.
If angle C is 30°, using the side ratios of a 30-60-90 triangle, that side is "a√3", and the side we're looking for is a. So, to find a, we just divide 4 by √3. In that case, point A is 4/(√3) units to the right of -2√3. We can rationalize 4/(√3) like this:
(4√3)/3
and then add that to 2√3:
(4√3)/3 + -2√3
(4√3)/3 + (-6√3)/3 = (-2√3)/3
We know that the x-coordinate of A is (-2√3)/3, and the y-coordinate is -1 because B is a right angle and we're just moving horizontally. So, if C is 30° and A is 60°, point A is at ((-2√3)/3, -1).
60°:
in this case, the leg we know is "a" and the leg we're looking for is "a√3". So, we can multiply 4 by √3 to get the distance from B:
4 x √3 = 4√3
4√3 + -2√3 = 2√3
So the x-coordinate of A here is 2√3, and the y-coordinate is still -1: (2√3, -1).
hope that helps! if you liked this answer please rate it as brainliest!! thank you!!!
{0, 0, 0, 56, 64, 65, 78, 78, 79, 79, 84, 86, 97, 100}
GalinKa [24]
Step-by-step explanation:
a) mean =0+0+0+56+64+65+78+78+79+79+84+86+97+100
=866/total amount of number
=866/14
=61.86
b) median the middle number (put the number smallest to biggest)(if there are two numbers in the middle add them then divide by 2)
=78+78/2
=78
c)mode= the most common number (can be more than one)
=0
