Answer: y= 1/4 x + 500
Step-by-step explanation:
The slope is the difference in y-values divided by difference in x-values plus the starting constant value (500 on the graph)
700 - 600 is the difference in y-values = 100
800 - 400 is the difference in x-values = 400
100/400 = 1/4
y = x/4 +500
Answer:
The correct answer B) The volumes are equal.
Step-by-step explanation:
The area of a disk of revolution at any x about the x- axis is πy² where y=2x. If we integrate this area on the given range of values of x from x=0 to x=1 , we will get the volume of revolution about the x-axis, which here equals,

which when evaluated gives 4pi/3.
Now we have to calculate the volume of revolution about the y-axis. For that we have to first see by drawing the diagram that the area of the CD like disk centered about the y-axis for any y, as we rotate the triangular area given in the question would be pi - pi*x². if we integrate this area over the range of value of y that is from y=0 to y=2 , we will obtain the volume of revolution about the y-axis, which is given by,

If we just evaluate the integral as usual we will get 4pi/3 again(In the second step i have just replaced x with y/2 as given by the equation of the line), which is the same answer we got for the volume of revolution about the x-axis. Which means that the answer B) is correct.
Answer:
The answer is y= -1/3x-5
Step-by-step explanation:
(9, -8) and (-6, -3)
m= y²-y¹/x²-x1
m= (-3)-(-8)/(-6)-9
m= 5/-15
m=-1/3
y=mx+b
y=-1/3x+b
-3=-1/3(-6)+b
-3=2+b
-2 -2
-5=b
The answer is y=-1/3x-5
Answer:
D. 32,154
Step-by-step explanation:
54,267 can be written as 54267.0
The 2 in 54 267 should be move 1 place to the left to indicate your multiplying by 10
Moving 1 space to the left = Times 10
Moving 2 places to the left = Times 100
Moving 3 places to the left = Times 1000
Answer:
Step-by-step explanation:
x²+x²=9²
2x²=81
x²=81/2=(81×2)/4
x=9√2/2≈4.5√2≈6.36
9.
x²+x²=11²
2x²=11²
x²=11²/2
x=11/√2=11√2/2≈7.78