Answer:
(x – 3)^2+ (y +2)^2 = 36
Step-by-step explanation:
Given data
The formula for the equation of a circle is (x – h)2+ (y – k)2 = r^2,
where (h, k) represents the coordinates of the center of the circle
h=3
k=-2
r= 6
Substitute
(x – 3)^2+ (y – (-2))^2 = 6^2
(x – 3)^2+ (y +2)^2 = 36
Hence the expression for the equation of the circle is
(x – 3)^2+ (y +2)^2 = 36
Answer:
12345678ijhgvfder5678ikjhgfder56780ij9uhytrxsdcfvgbhjnk
Step-by-step explanation:
Answer:
A. 3x^2+7x^2+2×3x ×7-84x = 3x^2+7x^2-2×3x×7
9x^2+49x^2+42x-84 x= 9x^2+49x^2-42x
9x^2+49x^2-42 = 9x^2+49 x^2-42x
verified
B.
Answer:
From these examples, we can conclude, we will get a whole number when we divide if the numerator of the fraction is a factor of the whole number
Step-by-step explanation:
Lets look at a couple of examples
Example 1
4 ÷ 1/3
Copy dot flip
4 * 3/1 = 12
Whole number
Example 2
2 ÷11/12
Copy dot flip
2 * 12/11
24/11
11 goes into 24 2 times
11*2 = 22
24-22 =2
11 goes into 24 2 times with 2 left over, The left over goes over the denominator.
2 2/11
2 2/11 is a mixed number not a whole number
Example 3
8 ÷2/11
Copy dot flip
8 * 11/2
88/2
44
From these examples, we can conclude, we will get a whole number when we divide if the numerator of the fraction is a factor of the whole number
We assume that the hill is represented by points ACD and the ski lift is represented by points BCD. From the description above, points CDB would have an angle of 90 degrees. Then, we would have:
sin (32) = CD / 960
CD = 508.72
tan 32 = 508.72 / AD
AD = 814.13
Therefore, the distance would be 814.13 - 508.72 = 305.4 ft.
