Answer:
(3,-1/2)
Step-by-step explanation:
When a point divides a line segment into ratios of k1:k2, the formula to find the coordiates of the point is:
x=(k2*x1+k1*x2)/(k1+k2), y=(k2*y1+k1*y2)/(k1+k2),
(x1,y1) being the coordinates of the starting point, and (x2,y2) coordinates of the end point.
in this case, 3.6=[2*(-6)+3x2]/5
-12+3x2=18
3x2=30
x2=10
use the same method to find y2: -0.4=(2*5+3y2)/5
3y2=-12
y2=-4
so the the coordinates of B is (10,-4)
use the same method to find the coordinates of D.
the answer I've got for D is (58/9, -2) please double check my calculation.
Answer is C. 30
cause x is 15
The Fibonacci sequence is a simple yet extraordinary addition sequence.
1,1,2,3,5,8,13,21,34,55,89,144 and so on
By adding the previous two terms in the sequence, you can find out the next term. For example, 1+1=2, 1+2=3, 2+3=5, 3+5=8 and so on.
The seventh number is 13 and the ninth is 34.
1) 32% students chose red, yellow, & orange.
Find the total number of students that gave their favorite color.
6 + 4 + 8 + 7 + 9 + 3 + 4 + 9 = 50 students
Find the students that chose red, yellow, and orange.
9 + 4 + 3 = 16
16 out of 50 students chose red, yellow, & orange as their favorite color.
16/50 = 32/100, which is 32%.
2) No, 2/25 students chose pink, which is less than 1/10.
Find the number of students that chose pink -- 4 students. 4 out of 50 students. 4/50 reduced is 2/25.
2/25 is 0.08.
1/10 is 0.10.
So, less than 1/10 of the students chose pink as their favorite color.
3) 18% students chose blue as their favorite color.
Find how many students chose blue -- 9 students.
9 students out of 50 students, 9/50. Multiply both sides by 2 to get 18/100.
18/100 is 18 percent.
4) 21/50 students chose green, black, & purple.
Find how many students chose green, black, and purple.
7 + 8 + 6 = 21
21 out of 50 students, 21/50.