Answer:
L = 3x - 2
P = 6x - 10
Step-by-step explanation:
Area = length * width
A = l*w
so if the width is 6 inches we can say w = 6
and we can say that l = to the length of the rectangle
if we substitute this:
(18x - 12) = l * 6
we get the answer l = 3x - 2 since we divide both sides by 6.
the expression for length of the rectangle is -> l = 3x - 2
for the perimeter:
P = 2(l + w)
if we substitute this:
P = 2(3x - 2) + 6
distributive property:
P = 2(3x) - 2(2) + 6
then would be:
P = 6x - 4 + 6
(combine like terms) -> P = 6x - (4 + 6)
then you would get: P = 6x - 10
which can also be writtern as -> P = 6x + (-10)
but this is not simplified so you would just write it as 6x - 10
Hope this helps, and hope this was the answer you were looking for. Thank you. Sorry if this does not help
2cos(x) - 4sin(x) = 3
use identity [cos(x)]^2 +[ sin(x)]^2 = 1 => cos(x) = √[1 - (sin(x))^2]
2√[1 - (sin(x))^2] - 4 sin(x) = 3
2√[1 - (sin(x))^2] = 3 + 4 sin(x)
square both sides
4[1 - (sin(x))^2] = 9 + 24 sin(x) + 16 (sin(x))^2
expand, reagrup and add like terms
4 - 4[sin(x)]^2 = 9 + 24sin(x) + 16sin^2(x)
20[sin(x)]^2 + 24sin(x) +5 = 0
use quadratic formula and you get sin(x) = -0.93166 and sin(x) = -0.26834
Now use the inverse functions to find x:
arcsin(-0.93166) = 76.33 degrees
arcsin(-0.26834) = 17.30 degrees
Answer:
Putting the value of x= 2 in the first equation,
6(2)+y= 17
y= 17-12 = 5
This value is same as the value for y given in the question.
Therefore, it satisfies the equation.
Again, putting the value of x= 2 in the second equation,
3(2)+14y= 16
14y= 16-6 = 10
y= 10/14 = 5/7
It doesn't satisfies the 2nd equation
Hence, (2,5) is not the solution to this system.
I am going with C. B is definitely not the answer
