Answer:
y=-2x+4
Step-by-step explanation:
2x+y-1=0
2x+y=0+1
2x+y=1
y=1-2x
y=-2x+1
y=mx+b where m=slope and b=y-intercept
parallel means same slope,
so the slope would still be -2.
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y-y1=m(x-x1)
y-2=-2(x-1)
y=-2x+2+2
y=-2x+4
Answer:
17
Step-by-step explanation:
I would just solve them individually for 3 and then add them together. f(x)=6(3)+3 = 21 and g(x)= 3-7= -4
(f+g)(3) = 21-4= 17
Above, I changed the fraction form of x and y into exponential form so it is easier to see the differentiation. Now, we can differentiate:
Now that we have dy/dx, we can plug in the x, which is 4, and the y, which is 4/19. We know these values of x and y because your question stated y(4) = 4/19.
I'm assuming a quarter-circle is exactly 1/4 of a circle. Thus if you have 4 congruent quarter-circles, that should mean they make a complete circle.
If that is the case, then we can find the area of the full circle using pi*r^2.
So the area of the circle is 5^2*pi or 25pi.
To find the area of the shaded region, we subtract the area of the circle from the area of the square.
The area of the square is 10^2 or 100.
So the area of the shaded region is 100 - 25pi.
My calculator says that equals roughly 21.46
Answer: 2/3
Step-by-step explanation:
there are 24 pets total (count all of the dots on the plot)
16 students have 2 or more pets (count the dots from point 2 until 6)
your fraction is 16/24
16/24 is 2/3 simplified
hope this helps
