Answer:
The original triangle has sides of 18 cm, 18 cm and 10 cm
Step-by-step explanation:
Let x cm be the length of the leg of the original triangle and y cm be the length of the base of the original triangle.
1. Since the perimeter of the original triangle is 46 cm, then
x+x+y=46.
2. If it's base were lengthened by 3 cm, then it becomes y+3 cm. If each leg were shortened by 5 cm, then each leg becomes x-5 cm. All three sides became equal, then
y+3=x-5.
3. Solve the system of two equations:
Then 
Alright, so we know that the race is 5 kilometers, so the equation will be 5-<some value>= <distance from finish line>. We also know that the student runs a kilometer every three minutes, so 3x=1km . Multiplying both sides by 5, we get 15y=5km (y being the number to make the equation make sense, or the slope). When the student has run 5km, the distance from the student to the finish line should be 0, so we get that 5-5=0, and plugging 15y in for 5 we get 5-15y=0. For 15x to equal 5, 3y=1 and y=1/3. Therefore, we plug that in for y, getting 5-15(1/3)=0. However, we have to make it for all times! Since 15 represents the minutes, we make that x, and since 0 represents the distance remaining, we make that the distance remaining, making it 5-(1/3)x=distance left. You can also think of y as the slope in y=mx+b - it stays constant that way.
Answer:
The second graph is the correct graph
Step-by-step explanation:
Green's theorem says the circulation of 
along the rectangle's border 
is equal to the integral of the curl of over the rectangle's interior 
.
Given 
, its curl is the determinant
So we have
