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).
This kinda easy. Every 3 yellow drops is 4 blue drops, so here's the answer. 3 = 4, 6 = 8, 9 = 12, 12 = 16. so you would need 16 blue drops.
Answer:
18.84cm
Step-by-step explanation:
There is a formula which for the diameter is pie (3.14) times the diameter. Now if you have the radius it would be pie (3.14) times 2 times whatever the radius would be. Now you could use either formula for this, just divide the diameter by two to get 3.
So 3x2x3.14=18.84cm
So then you could just multiply 6x3.14 and still get 18.84cm
Which ones do you need help on i’ll try to help you ???
Add (or subtract) a number from both sides.
Multiply (or divide) both sides by a positive number.
Simplify a side.