Answer:
D
Step-by-step explanation:
3x+6=9
3x=3
x=1
Y = -5x + 9
y = 5x + 7
5x + 7 = -5x + 9
5x + 5x = 9 - 7
10x = 2
x = 2/10 reduces to 1/5
y = 5x + 7
y = 5(1/5) + 7
y = 1 + 7
y = 8
solution is (1/5,8)
The value of d which will.make this system have the same solution is; d = 21/(3x -1)
First, we must make y, the subject of the formula in each case as follows;
- y = (3x -1)/7. and
- y = 3/d.
In essence, by equating y to y in both equations; we have;
By Cross-product; we have;
Read more on subject of formula;
brainly.com/question/11000305
This would be a triangular prism
Answer:
1.1783
Step-by-step explanation:
The attached picture shows a cross section of the cylindrical shell that it is convenient to use as a differential of the volume. The radius from the center of revolution is (1-x), so the circumference of the shell is 2π(1-x). Of course, its height is tan(x), so the differential of volume is ...
dV = 2π(1-x)tan(x)
The indefinite integral does not have a nice closed-form solution, but it can be easily integrated numerically from x = 0 to 1 by most scientific and graphing calculators. The attached shows the volume to be about 1.1783 cubic units.