Answer: See below
Step-by-step explanation:
- Both will use the straight edge to make segments and use the compass to take measurements.
- They will draw a line with a straight edge and will find a starting point, then with a compass:
- Annie will take the measurement of the segment and, from the starting point of the line, will put in the other point to obtain the congruent segment.
- But in Jaymie's case, she will need to do a little more work with a compass because to build congruent angles, she will need to make a semi-circle in the original angle and transfer this measurement to the new line to construct the angle.
See attached for a sketch of some of the cross sections.
Each cross section has area equal to the square of the side length, which in turn is the vertical distance between the curve y = √(x + 1) and the x-axis (i.e. the distance between them that is parallel to the y-axis). This distance will be √(x + 1).
If the thickness of each cross section is ∆x, then the volume of each cross section is
∆V = (√(x + 1))² ∆x = (x + 1) ∆x
As we let ∆x approach 0 and take infinitely many such cross sections, the total volume of the solid is given by the definite integral,
This is what it looks like. It opens to the right.
Answer:
x=-2/5
Step-by-step explanation:
4(-3x-1)=13x+6 ~ Distribute the 4 into the parenthesis
-12x-4 = 13x+6 ~ add 12x to both sides
-4= 25x + 6 ~ subtract 6 from both sides
-10 =25x ~ divide by 25
-10/25 = x ~ simplify the fraction by dividing the num. and den by 5
-2/5 =x
