Death lake would be the answer
Answer:
15, 60, and 61
Step-by-step explanation:
First we have to find the 3rd side length from 2 side length chosen. So let’s pick 8 meters and 11 meters, to find the third side length we use the Pythagorean theorem: c^2 = a^2 + b^2
c = 11^2 + 8^2 = 121 + 64 = 185 = 13.6
13.6 isn’t one of the answers so we can’t pick 11 & 8. Let’s try 11 & 15:
c = 15^2 + 11^2 = 225 + 121 = 346 = 18.6
18.6 isn’t one of the answers either. Let’s try 15 & 60:
c = 60^2 + 15^2 = 3600 + 225 = 3825 = 61.85
61.85 might be it but let’s try one more just in case:
c = 60^2 + 61^2 = 3600 + 3721 = 7321 = 85.6
Nope! That means 15, 60, and 61 are the answer. I hope this is correct!
We can use linear combinations of the equations to eliminate variables.
3x - 4y = 1
-2x + 3y = 1
To eliminate y we'll make the linear combination of 3 times the first equation minus four times the second.
9x - 12y = 3
-8x + 12y = 4
Adding,
x = 7
We could solve for y directly but let's use another linear combination, twice the first plus three times the second:
2(3x - 4y) + 3(-2x + 3y)= 2(1)+3(1)
y = 5
Check: 3(7)-4(5)=1 good. -2(7)+3(5)=1 good.
Q18 Answer: (7,5)
y = -3x + 5
5x - 4y = -3
4y +1(5x - 4y) = 4(-3x + 5) + 1(-3)
5x = -12x + 20 -3
17 x = 17
x = 1
y = -3(1) + 5 = 2
Check: 5(1) - 4(2) = -3 good
Q19 Answer (1,2)
6x + 5y = 25
x = 2y + 24
6x = 12y + 144
5y = 25 - 12y - 144
17y = -119
y = -119/17= -7
x = 2y+24= 10
Check: 6(10)+5(-7)=25 good 2y+24=2(-7)+24=10=x good
Q20 Answer (10,-7)
3x + y = 18
-7x + 3y = -10
9x + 3y = 54
9x - -7x = 54 - -10
16x = 64
x=4
y = 18 -3x = 18-12=6
Check: 3(4)+6=18 good, -7(4)+3(6)=-10 good
Q21 Answer: (4,6)
X and y intercepts. So x intercept is where y=0 and y intercept is where x=0. Also positive or negative meaning where y>0 (positive) and where y<0 (negative). Use these hints to do it. If you can’t then just let me know...
