Answer:
66/125
Step-by-step explanation:
Divide top ad bottom by 8. The resulting fraction cannot be simplified further.
The correct answer is 1.7 times 10^3.
The mistake is in step 3:
I: −2m =−12 − 2n
II: 2m = 8 + 8n
the student set both right sides of the equations equal (−12 − 2n = 8 + 8n), but the left sides aren't equal: first equation has -2m, second has +2m so the signs of one of the equations must be inverted first
Answer:
y = 2/3x - 3
Step-by-step explanation:
First calculate the slope: y2 - y1 divided by x2 - x1
Slope: -6/-9 = 2/3
The y-intercept is -3
The equation of a line: y = mx + b
y = 2/3x - 3
Answer:
Solution : Volume = 96/5π
Step-by-step explanation:
If we slice at an arbitrary height y, we get a circular disk with radius x, where x = y^(1/3). So the area of a cross section through y should be:
A(y) = πx^2 = π(y^(1/3))^2 = πy^(2/3)
And now since the solid lies between y = 0, and y = 8, it's volume should be:
V = ∫⁸₀ A(y)dy (in other words ∫ A(y)dy on the interval [0 to 8])
=> π ∫⁸₀ y^(2/3)dy
=> π[3/5 * y^(5/3)]⁸₀
=> 3/5π(³√8)⁵
=> 3/5π2^5
=> 96/5π ✓
