Answer:
(x,y)→(y,-x)
Step-by-step explanation:
Parallelogram ABCD:
A(2,5)
B(5,4)
C(5,2)
D(2,3)
Parallelogram A'B'C'D':
A'(5,-4)
B'(4,-5)
C'(2,-5)
D'(3,-2)
Rule:
A(2,5)→A'(5,-2)
B(5,4)→B'(4,-5)
C(5,2)→C'(2,-5)
D(2,3)→D'(3,-2)
so the rule is
(x,y)→(y,-x)
Answer:
x = 4
Step-by-step explanation:
a = i-2j
b = 2i-xj
1 = k•2
-2 = k•(-x)
=> 1/2 = k
=> (-2)/(-x) = k
=> 1/2 = (-2)/(-x) => 1/2 = 2/x => x = 4
Answer:
<em>There are 12 boys and 18 girls</em>
Step-by-step explanation:
<u>Equations</u>
There are 30 students in a class. Let's call:
x = number of boys
Since the sum of boys and girls is 30:
30 - x = number of girls
The ratio of boys to girls is 2:3, thus:

Crossing denominators:
3x = 2(30 - x)
Operating the parentheses:
3x = 60 - 2x
Adding 2x:
5x = 60
Dividing by 5:
x = 60/5 = 12
x = 12
There are 12 boys and 30-12=18 girls
hurdler falled down before the 353535 steps of 100100100 race.
we need to find where she fell down
so we need subtract 353535 from 100100100

she falled at 99746565 step before completing the race
Answer:
X is 6.
Step-by-step explanation:
What we know:
There's a ratio between 8 and 12, which simplifies to 2/3.
So, to find what x is, just multiply 2/3 times 9, to get 6 as x.