To create a perfect square trinomial, halve the x coefficient, square it, and then add that value.
In the case of x² + 6x, we would have 6 to get 3, then square 3 to get 9.
We would add 9 to make a perfect square trinomial.
<u>
</u><u>Why this works</u>
A perfect square trinomial is designed to factor to some value (x+n)².
When you FOIL this you get x² + 2nx + n².
As you can see, if you wanted to find the value of that n², you could take that x coefficient 2n, halve it to get n, and then square it to get n²!
The total number of outcomes would be 6 ;) Hope this helps!
Answer:
⅓x + y = 5⅓
or
⅓x + y = 5.3333333
or
⅓x + y = 16/3
Step-by-step explanation:
Solve for slope using rise/run
Y2 - Y1 / X2 - X1
(6) - (5) / (-2) - (1)
1 / -3
Slope: -⅓
y = -⅓x + b
solve for b using one of the points
I'll be using (1,5)
Substitute the point into the equation
5 = -⅓(1) + b
5 = -⅓ + b (add ⅓ to both sides)
+⅓ +⅓
5⅓ = b
5⅓ can also be written as 16/3 or 5.333333
The equation is now:
y = -⅓x + 5⅓
Convert to standard form by adding ⅓x to both sides
y = -⅓x + 5⅓
+⅓x +⅓x
Solution: ⅓x + y = 5⅓
Answer:
can you provide a picture or an equation?
Step-by-step explanation:
Julia’s score is <em>y</em> and Tina’s score is <em>y</em> + 6.
Step-by-step explanation:
Let us take Julia’s score be <em>y</em>.
First Tina scored 4 points more than Julia, so the expression is <em>y</em> + 4.
Then, Tina earned 2 points as extra credic, now the expression becomes
(y + 4) + 2 = y + 6.
Hence Julia’s score is <em>y </em>and Tina’s score is <em>y</em> + 6.
