Answer:
There is no solution of the system of equations.
Step-by-step explanation:
We are given two equations y = - 4 and y = 4 and are to find the solution to the equations.
Now, the straight line y = - 4 is parallel to the x-axis as the equation of straight lines that are parallel to the x-axis are given by y = c, where c is any constant value.
Again, the straight line y = 4 is parallel to the x-axis.
Therefore, y = - 4 and y = 4 two lines are parallel to each other and we know, parallel lines never intersect and hence there is no solution of the system of equations. (Answer)
Given that the point (12,-5) which takes the form (x,y), This implies that:
opposite=-5
adjacent=12
thus using using Pythagorean theorem, the hypotenuse will be:
c^2=a^2+b^2
plugging the values we obtain:
c^2=(12)^2+(-5)^2
c^2=144+15
c^2=169
thus
c=13
but
cos θ=adjacent/ hypotenuse
therefore:
cos θ=12/13
Answer is option . D
Answer:
Permutation
504 ways
Step-by-step explanation:
The difference between combinations and permutations is ordering. With permutations we DO care about the order of the elements, whereas with combinations we don't.
In your graphing calculator, type
nPr(9,3)
(9 letters in trapezoid, 3 letter combos)
and it returns 504.
Seven hundred and sixty-three thousand, and eighty- nine.
