The two equations are
2x+3y=12............(1)
x-y-1=17................(2)
x=17+y+1=18+y
x=18+y.............(3)
plugging value of x from (3) in (1)
2(18+y)+3y=12
36+2y+3y=12
36+5y=12
5y=-24
y=-24/5=-4.8
plugging this y in equation (3)
x=18+y = 18-4.8 =13.2
Answer : x=13.2 and y=-4.8
Answer:
7.68
Step-by-step explanation:
Answer:
The y-coordinate of F is 8.
Step-by-step explanation:
The area of the large triangle = 1/2 * base * height.
From the given coordinates:
The base of the large triangle = x coordinate of C - x coordinate of A
= 11 - 3 = 8 units.
It's height = y coordinate of A = 12, so
Area of large triangle = 1/2 * 8 * 12 = 48 unit^2.
Using a similar calculation for the small triangle:
Base = 10 - 6 = 4 and height = k units.
So it's area = 1/2 * 4 * k = 2k unit^2.
So from given area of the shaded part:
48 - 2k = 32
-2k = -16
k = 8.
Yes because if you simplify both of the ratios they are equal.
For girls it is 30 to 12, which simplified (divided by 3) is 10 to 4 (divided by 2) is 5 to 2
For boys it is 40 to 16 which simplified (divided by 4) is 10 to 4 (divided by 2) is also 5 to 2. Therefore they are both equal.
the only square root of 144 is 12