Answer:
D
Step-by-step explanation:
The diagonals of a rhombus bisect each other, thus
FJ = JH, that is
y + 5 = 4x ( subtract 5 from both sides )
y = 4x - 5 → (1)
In a rhombus all sides are congruent, thus
HG = EF, substitute values
3x + y = 2x + y + 2 ( subtract y from both sides )
3x = 2x + 2 ( subtract 2x from both sides )
x = 2
Substitute x = 2 into (1)
y = 4(2) - 5 = 8 - 5 = 3
Thus
EF = 2x + y + 2 = 2(2) + 3 + 2 = 4 + 3 + 2 = 9 → D
Answer: The answer is 972.
Step-by-step explanation: The formula for the volume if a cylinder is πr2h and the radius is 9 and to the second power is 81. So then the radius multiplied by the height (which is 12) is 972 which is the answer.
The tool I used for modellin is MS Excel. As you on the left side of the picture, I tabulate the x and y coordinates with respect to their columns. Then, I plotted it using the scatter plot graph. In this type of graph, only plots are drawn on the Cartesian plane. Next, I created a trendline as represented by the blue dashed line. There are options to the degree of your trendline: linear, polynomial or exponential. The closes fit is the polynomial with a degree of 2. An option is listed there in displaying the equation. The equation modelled by regression through data fitting is:
y = x² - 4x+1