Answer:
x= ±2 sqrt(3)
Step-by-step explanation:
4x^2+11= 59
Subtract 11 from each side
4x^2+11-11= 59-11
4x^2 = 48
Divide by 4
4/4x^2 = 48/4
x^2 = 12
Take the square root of each side
sqrt(x^2) = sqrt(12)
x = ±sqrt(4*3)
x= ±2 sqrt(3)
33 + 12 would be 45 centimeters square
Answer: -2x + 5y = 8
Step-by-step explanation:
Since the lines must be parallel, the slopes must be the same, so keep the coefficients of x and y
Substitute the values of x and y from the given coordinate (6,4) to find the new constant, b, the y-intercept.
-2x + 5y = b
-2(6) + 5(4) = b
-12 + 20 = b
8 = b
Rewrite the original equation substituting the new b for the original -15
-2x + 5y = 8
5x+3y=-9
-2x+y=8
The first step is the trickery (and quite frankly, hardest to explain) part. You need to multiply one equation by a number that will create one variable to be the negative version of the other...(Confusing, right? Don't worry, I'll show you)
We are going to solve for X first.
We will multiply the second equation by -3
5x+3y=-9
-3(-2x+y)=(-3)8
Now simplify:
5x+3y= -9
6x-3y= -24
Now combine the two equations (add them together)
11x= -33
Divide by 11
X=-3
Now plug X in to one of the first equations:
5(-3)+3y= -9
-15+3y =-9
3Y= 6
Y= 2
So your final answer is:
x= -3
Y= 2
Hope this helps!
