Answer:
80/3 or 26 2/3
Step-by-step explanation:
-2 + y = 9 (subtract y from both sides)
-2 = 9 - y (subtract 9 from both sides)
-2 - 9 = y (multiply both sides by -1)
2 + 9 = y (simplify)
11 = y (substitute)
3x - 7 (11) = 3 (multiply)
3x - 77 = 3 (subtract 3 from both sides)
3x - 80 = 0 (subtract 3x from both sides)
-80 = -3x (multiply both sides by -1)
80 = 3x (divide both sides by 3)
80/3 = x (simplify if needed)
26 2/3 = x
10√2 is the answer for square root of 200
The surface area of a cylinder is define by the formula S.A.=2πrh+2<span>πr^2, where the first part of the formula refers to the lateral area, perimeter, or circumference and the second part to the area of the bases, which are circles.
On this exercise it is asked to find the lateral area of a cylinder whose radius is 6 cm, and has a height of 20cm. To find the lateral area of the cylinder you should substitute this values into the formula, S.A.=2</span>πrh, and as can be seen the answers are given in terms of <span>π or pi.
S.A.=2</span><span>πrh
S.A.=2</span><span>π(6cm)(20cm)
S.A.=2</span><span>π(120cm)
S.A.=240</span>π cm^2
The lateral area of the cylinder is 240<span>π cm^2 or in other words letter B from the given choices.</span>
For Part A, you need to input x=6 into the equation 8x + 8 = 56 to see if 6 is a solution of that equation. It'll be 8(6) + 8 = 56 -> 48 + 8 = 56 -> 56 = 56. Does 56 equal 56? Then yes, x = 6 is a solution of the equation 8x + 8 = 56.
For Part B, it changed the value of x from 6 to 9. It also states that the left side of the equation (left side of the equal sign) stays the same so it'll still be 8x + 8. You do what you did in Part A, but instead of inputting 6, you do 9. It'll be like this: 8(9) + 8. It's asking how the right side would change, but that's basically asking what the answer is. If you do the math correctly, it'd be 72+8, which would be 80. The right side would need to be 80 if the solution is now x = 9.
