Answer:
d=7/2
Step-by-step explanation:
3/4d-1/2=3/8+1/2d
multiply all by 8, to make them into whole numbers (makes it easier)
6d-4=3+4d
move terms
6-d-4d=2d
3+4=7
7=2d
d=7/2
Answer:
the translation is 4 units at right and 2 units up
Step-by-step explanation:
see the attached figure to better understand the problem
looking at the graph
we have
The coordinates of the pre-image ABC are
A(-1,1),B(2,2),C(1,-1)
The coordinates of the image A'B'C' are
A'(3,3),B'(6,4),C'(5,1)
so
A(-1,1) ----> A'(3,3)
A(-1,1) ----> A'(-1+a,1+b)
-1+a=3 ---> a=3+1=4
1+b=3 ---> b=3-1=2
The rule of the translation is
(x,y) ----> (x+4,y+2)
That means ----> the translation is 4 units at right and 2 units up
Right angle: a^2 + b^2 = c^2
c = longest side which is 26
a = 10
Now plug it in to find b
10^2 + b^2 = 26^2
100 + b^2 = 676
b^2 = 576
b = squareroot of 576 = 24
Solution: 24
Answer:
Probability: 131/195
Step-by-step explanation:
Total cookies:
7 + 6 + 2 = 15
Total candies:
14 + 12 = 26
Probability of raisin:
2/15
Probability of peppermint:
14/26 = 7/13
Probability of both:
2/15 + 7/13
131/195