Answer:
90
Step-by-step explanation:
Evaluate x^2 + 2 x^2 + 3 x^2 + 4 x^2 where x = 3:
x^2 + 2 x^2 + 3 x^2 + 4 x^2 = 3^2 + 2×3^2 + 3×3^2 + 4×3^2
3^2 = 9:
3^2 + 2×9 + 3×3^2 + 4×3^2
3^2 = 9:
3^2 + 2×9 + 3×9 + 4×3^2
3^2 = 9:
3^2 + 2×9 + 3×9 + 4×9
3^2 = 9:
9 + 2×9 + 3×9 + 4×9
2×9 = 18:
9 + 18 + 3×9 + 4×9
3×9 = 27:
9 + 18 + 27 + 4×9
4×9 = 36:
9 + 18 + 27 + 36
| 3 |
| 3 | 6
| 2 | 7
| 1 | 8
+ | | 9
| 9 | 0:
Answer: 90
Answer: P(-7.38,-12.85)
Steps:
Draw the directed line in a chart, including points A and B.
Look for the x coordinate of P:
the distance |B-A| along the x coord is |0-(-16)|=16
we are looking for a proportion of 7/13 of that:
the x coord of P is 16*7/13 to the right of -16, or -16+8.62= -7.38
Look for y coordinate of P:
the distance |B-A| along the y coord is |-17-(-8)|=9
we are looking for a proportion of 7/13 of that:
the y coord of P is 9*7/13 down from -8, or -8-4.85= -12.85
so the point P is P(-7.38,12.85)
We have that
surface area of the cylinder=2*[pi*r²]+[2*pi*r*h]
r=(4x+3)
h=3*r=3*(4x+3)
S=2*[pi*(4x+3)²]+[2*pi*(4x+3)*(3*(4x+3))]------> 2*[pi*(4x+3)²]+[6*pi*(4x+3)²]
S=8*pi*(4x+3)²----> 8*pi*[16x²+24x+9]-----> 402.12 x²+603.19x+226.19
the answer is S=402.12 x²+603.19x+226.19 (8pi[16x²+24x+9])
So for this equation we're going to complete the square.
Firstly, what two terms have a product of 120x^2 and a sum of 29x? 24x and 5x. Replace 29x with 24x + 5x: 
Next, factor 4x^2 + 24x and 5x + 30 separately. Make sure that they have the same quantity inside the parentheses: 
Now you can rewrite the equation as: 
Now using zero product property, solve for x:
In short, x = -1.25 and -6
Answer:
The perimeter is the sum of the length of the sides. A square has four equal sides. The perimeter of a square is four times the side length.
