Answer:
x=2 y=8
(2,8)
Step-by-step explanation:
y=2x +4
y=x+6
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write it in standard form to add (its easier this way)
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-2x+y=4
-x+y=6
multiply the second one by -1 (so we can cancel out the y's)
-2x+y=4
x-y=-6
add now
-x=-2
divide by -1
x=2
sub 2 for x in this equation: y=x+6
y=2+6
y=8
soooo
x=2 and y=8
(2,8)
YaYYYY u got it!!!! :)
Answer:
C
Step-by-step explanation:
<span>, y+2 = (x^2/2) - 2sin(y)
so we are taking the derivative y in respect to x so we have
dy/dx use chain rule on y
so y' = 2x/2 - 2cos(y)*y'
</span><span>Now rearrange it to solve for y'
y' = 2x/2 - 2cos(y)*y'
0 = x - 2cos(y)y' - y'
- x = 2cos(y)y' - y'
-x = y'(2cos(y) - 1)
-x/(2cos(y) - 1) = y'
</span><span>we know when f(2) = 0 so thus y = 0
so when
f'(2) = -2/(2cos(0)-1)
</span><span>2/2 = 1
</span><span>f'(2) = -2/(2cos(0)-1)
cos(0) = 1
thus
f'(2) = -2/(2(1)-1)
= -2/-1
= 2
f'(2) = 2
</span>
