X - 2y = 3
<span>4x^2 - 5xy + 6y = 3
lets solve for x the first and substitute in the second:
x = 3 + 2y
4(</span>3 + 2y)^2 - 5(3 + 2y)y + 6y = 3
4(9 + 12y + 4y^2) - 15y - 10y^2 = 3
36 + 48y +16y^2<span> - 15y - </span><span>10y^2 = 3
6y^2 + 33y + 33 = 0
we can solve using the general quadratic formula:
y = (-33 +- </span>√(33^2 - 4*6*33)<span>)/12
</span>y = (-33 +- √(297)<span>)/12
</span>so there are 2 solutions for y:
y1 = (-33 + √(297)<span>)/12
</span>y2 = (-33 - √(297)<span>)/12
</span>pick one and then substitute the y value in the first equation to find x
It is a compound event with independent probability, which means that it can fall into any one of them (this happens if the die has not been tampered with). This means that one outcome does not affect the next outcome in anyway
hope this helps
Meredinth takes 24 minutes to reach her friend house
<em><u>Solution:</u></em>
Given that, Meredith lives 24 blocks from her friends house
She travels one block every minute
<em><u>To find: time taken by Meredith to reach friend house</u></em>
From given,
Number of blocks between Meredith house and her friedn house = 24
She travels one block every minute
Thus she takes 1 minute for 1 block
One block = 1 minute
So, for 24 blocks, we have to multiply by 24
Thus Meredinth takes 24 minutes to reach her friend house
P(x,y) = P'(y,x)
It interchanges the x- and y-coordinates.
<span>D = 4 - 4*9*(-7) = 4 + 252 = 256 = 16*16
x1 = (-2 + 16)/9 = 14/ 9
x2 = (-2 - 16) / 9 = -2
If you have any other questions, feel free to comment on my wall. Hope this helped.</span>