You have to combine the -4x+5x first
Answer:
x=-2+3t , y=-9-10t
Step-by-step explanation:
I'm going to start by solving the first equation for t....which will give (x-x1)/(x2-x1) =t.
You can now substitute this in the second equation to get....y=y1 + (y2-y1)(x-x1)/(x2-x1)
Rearranging, you get y-y1 = (y2-y1) / (x2-x1) * (x-x1) which is equivalent to y-y1= m(x-x1) which is the point-slope formula for a line.
So since t was varying between 0 and 1,
plugging in t=0 you get x=x1 and y = y1 givin you the coordinate (x1,y1)
similarly, plugging in t=1 leads to (x2,y2)
So this is a representation of a segment connecting these 2 points.
B) just plug in the points into your given formula from part a to get...
x=-2 +(1--2)t and y = 9 +(-1-9)t
or x=-2+3t , y=-9-10t
Answer:
g=7.5
Step-by-step explanation:
1.06g-7=0.95
+7 +7
1.06g=7.95
divide both sides by 1.06
g=7.5
Answer:
8 inches
Step-by-step explanation:
The surface area of a cone (without the base) is given by:
Surface area = pi*r*s
Where r is the base radius and s is the slant height.
The smaller cone has a surface area of 41.6pi in2 and a radius of 6.4 inches, so the slant height is:
41.6pi = pi*r*s
41.6 = 6.4s
s = 6.5 in
If the cones are similar, the radius and the slant height increase in the same proportion, so we have that:
r'/s' = r/s = 6.4/6.5
s' = r'*6.5/6.4
So for the larger cone, we have:
65pi = pi*r'*s'
65 = r'*r'*6.5/6.4
r'^2 = 64
r' = 8 inches
