Answer:
m = -7/-8 or 0.875
Step-by-step explanation:
Slope = m
Formula for slope w/ two points is: m = y2 - y1
/ x2 - x1
m= -4 - 3/ -6 - 2
m = -7/ -8
m = -7/-8 or 0.875
Answer:
1/3 & option 1
Step-by-step explanation:
24) you are given the angle of red, and a circle is 360 degrees in all so:
red/full circle = 120/360 = 1/3
8) option 1 = a^2 + b^2 = c^2
it would be 13
Step-by-step explanation:
<span>it is an implicit function, (for high school students)
1) d(4x2+y2)/dx=d(48+2xy)/dx, after the differentiation, we obtain
8x + 2y .dy/dx = 2y + 2x .dy/dx
</span>8x - 2y = 2x .dy/dx - 2y .dy/dx, 4x - y = (x .- y ).dy/dx, and then
dy/dx = y-4x / y - x
2) when x cordinate is 2
we have 4(2^2) + y^2 = 48 + 2 . 2 y, and the y^2 - 4y - 32=0, after solving the quadratic equation we find y = - 8, or y = 4, this the positive y coordinate, the answer is y = 4
3) Let be P (xp, yp) the point, since P is the point at which the line tangent to the curve at P is horizontal, so we can write 4xp2+yp2=48+2xpyp, but xp=2, we have yp^2 - 4yp - 32=0, so P(2, 4)
Area of triangle= base*height/2
A=b*h/2