Answer:
parallel:
perpendicular:
Step-by-step explanation:
original line:
-7x + 8y = 4
m = 7/8
parallel:
m = 7/8
L: 7x - 8y = k
(4, -4) -> L
28 + 32 = 60 = k
L: 7x - 8y = 60
perpendicular:
m = -8/7
L: -8x + 7y = k
(4, -4) -> L
-32 + 28 = -4 = k
L: -8x -7y = -4
=> 8x + 7y = 4
sides of right angle triangle follows Pythagoras theroem
which states
a^2 +b^2 = c^2
where a , b and c are sides of right angle triangle.
here none of options do not follow this.
so answer is option D
9514 1404 393
Answer:
nπ -π/6 . . . for any integer n
Step-by-step explanation:
tan(x) +√3 = -2tan(x) . . . . . given
3tan(x) = -√3 . . . . . . . . . . . add 2tan(x)-√3
tan(x) = -√3/3 . . . . . . . . . . divide by 3
x = arctan(-√3/3) = -π/6 . . . . use the inverse tangent function to find x
This is the value in the range (-π/2, π/2). The tangent function repeats with period π, so the set of values of x that will satisfy this equation is ...
x = n·π -π/6 . . . . for any integer n
A)
Since 5 of the books are new, that means that the other books are used. So, there are 11-5=6. The ratio would be 5:6.
b)
The ratio is 6:11. You get the 6 from the above problem.
Hope this helps!
Answer:
42/90
Step-by-step explanation:
<u> </u>
Let x = .46
multiply both sides by 10
<u> </u>
10x = 4.66
multiply both sides by 10 again
<u> </u>
100x = 46.66
<u> </u> <u> </u>
100x - 10x = 46.66 - 4.66
90x = 42
x = 42 / 90
Can be reduced to x = 21/45
