The two numbers I will call x and y.
x + y = 31
x * y = 150
You then solve for one variable in either equation and substitute it into the other equation.
x + y = 31
x = 31 - y
Then you plug it in:
x * y = 150
(31 - y) * y = 150
-y² + 31y = 150
y² - 31y + 150 = 0 Then factor:
(y - 6)(y - 25) = 0
y - 6 = 0 y - 25 = 0
y = 6 y = 25
When you plug y into the original equations, it comes out that the two numbers are 6 and 25. You can check your work because 6+25 = 31 and 6*25 = 150. Hope this helps! :)
6 plates with 3 spoons or 9 plates with 2 spoons
Answer:
13,415 miles
Step-by-step explanation:
Final position - initial position = Miles traveled:
23,840 miles - 10,425 miles = 13,415 miles
Answer:
Y = negative x + 9
Step-by-step explanation:
Find the equation of the line for side S-
m= 4-1/1-4 = 3/-3 = -1
<u>The Gradient is -1</u>
Since parallel lines share the same gradient, it should be either of the first two options.
We can see side Q shares the same gradient: 3-6/6-3= -1
Find the equation of the line of side Q-
y-y1= m(x-x1)
y-6= -1(x-3)
y-6=-x+3
<u>y= -x+9</u>
