Answer:
(x, y) = (8, -3)
Step-by-step explanation:
You can substitute for x in the first equation:
3(-3y -1) +3y = 15
-6y = 18 . . . . . add 3 and simplify
y = -3 . . . . . . . divide by -6
x = -3(-3) -1 = 8 . . . . find x using the second equation
The solution to this system of equations is (x, y) = (8, -3).
The answer is 375
30*12.5 is equal to 15*25
15*25= 375
Plz mark as Brainly
Answer:
10 and 7x + 1
Step-by-step explanation:
The area of a rectangle is 70x + 10.
Let's factor 70x + 10.
Factor out a common factor of 10.
70x + 10 = 10(7x + 1)
Since the area of a rectangle is length * width, we can let one factor be the length and the other factor be the width.
Possible dimensions are 10 and 7x + 1
Answer:
7
Step-by-step explanation:
The easiest way to find the vertex is to convert this standard form equation into vertex form, which is y = a(x - h)^2 + k.
Firstly, put x^2 - 10x into parentheses: y = (x^2 - 10x) + 30
Next, we want to make what's inside the parentheses a perfect square. To do that, we need to divide the x coefficient by 2 and square it. In this case, the result is 25. Add 25 inside the parentheses and subtract 25 outside of the parentheses: y = (x^2 - 10x + 25) + 30 - 25
Next, factor what's inside the parentheses and combine like terms outside of the parentheses, and your vertex form is: y = (x - 5)^2 + 5.
Now going back to the formula of the vertex form, y = a(x - h)^2 + k, the vertex is (h,k). Using our vertex equation, we can see that the vertex is (5,5).
