Answer:

Step-by-step explanation:
<u>Equation of a Line</u>
We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.
We are given a line

And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y

The coefficient of the x is the slope

The slope of the perpendicular line is the negative reciprocal of m, thus

We know the second line passes through (2,3). That is enough information to find the second equation:


Operating

Simplifying

That is the equation in slope-intercept form. Intercept: y=4
The law of cosines for this particular situation is b^2 = a^2 + c^2 - 2ac cosB.
Filling in what you know, you have b^2 = 25 + 49 - [2(5)(7)-.1908], which simplifies to b^2 = 74 - 69.8092 which gives you a b^2 value of 4.1908, but you have to take the square root of that so you get a side value for b of 2.05.
Step-by-step explanation:
since the sumation of f(x) of a probability is 1
thw probability to win is o.5 and to lose is o.5 so expected value is xf(x
your expected value will b 0.5 multiply by 5 thats is 2.5 thats your expected gain
Answer:
Step-by-step explanation:
6x + ( 14x - 5 ) + ( 17 - 3x )
= 17x + 12
- ( 2 - x ) -3 ( 6 + 8x ) -12,
= -23x - 32
( 4x - 9 ) + 8 ( 2x + 3 ) -7x
= 13x +15
Answer:
Step-by-step explanation:
4x² + 76 = 32
4x² = -44
x² = -11
but x² must be non-negative, so there is no real solution.