Answer:
(x+16)²+(y-30)²=1156
Step-by-step explanation:
We have given:
center at (-16,30). It means h = -16 and k=30
and it passes through the origin (0,0)
Thus the radius will be distance between (-16,30) and (0,0)
r=√(-16 - 0)²+(30-0)²
r=√256+900
r²=(√1156)²
r²=1156
Now apply standard equation of circle:
(x-h)²+(y-k)² = r²
(x+16)²+(y-30)²=1156
Thus the equation is (x+16)²+(y-30)²=1156 ....
Answer:
3.5m
Step-by-step explanation:
Volume of pyramid = lwh÷3
25.77 = [(4.7)² × x] ÷ 3
25.77 × 3 = 22.09x
77.31 = 22.09x
x = 77.31 ÷ 22.09
= 3.49
= 3.5m
Answer:
6
Step-by-step explanation:
The center of the circle is the midpoint of the diameter. The midpoint can be found by averaging the coordinates of the end points:
((-4, 2) +(12, 10))/2 = ((-4+12)/2, (2+10)/2) = (4, 6)
The y-coordinate of the center is 6.
Answer:
D) We are 95 percent confident that the mean difference in scores for all children in the program is between 20.1 points and 23.9 points.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
95 percent confidence interval (20.1,23.9)
We are 95% sure that the population mean(that is, the mean for all children in the program) is in this interval. So the correct answer is given by option D.
Answer:
The answer to this question 6(4a-3b)
