Answer:
-56/9
Step-by-step explanation:
Let p and q be the roots of the equation.
So, here's how we're gonna work it out:
Vieta's formulas give us the sum and the product of the roots of a quadratic equation. Using them we obtain:
- p + q = -b / a = - 4 / 3
- p × q = c / a = 12 / 3 = 4
-1/3x-4/3y=2
1/3x-2/3y=4
First realize that the coefficient of x is -1/3 and 1/3 which can be eliminated with addition
Adding the two equations together gets
-6/3y=6
Simplify
-2y=6
y=-3
Substitute back into original equation
1/3x-2/3(-3)=4
1/3x+2=4
1/3x=2
x=6
Answer
x=6, y=-3
Check answer
-1/3(6)-4/3(-3) =?= 2
-2+4=2
2=2
Done!
Answer:
0.15 for each message
Step-by-step explanation:
The charge per message can be found by dividing the charge by the number of messages. Using the first line of the table, we get ...
charge per message = (total charge)/(number of messages) = $38.40/256
charge per message = $0.15
Alyssa is charged 0.15 for each text message.
_____
We can check other lines of the table to see if charges are really proportional:
$26.55/177 = $0.15
$31.35/209 = $0.15
One of the ways of dividing polynomials is by synthetic division
The divisor of the synthetic division is x + 5
<h3>How to determine the divisor of the division</h3>
From the question, we understand that:
Entry -5 is on the outside to the left of the shape
The entry represents the zero of the divisor.
Next, we set this entry to the variable (assume the variable is x)
So, we have:
Add 5 to both sides
Hence, the divisor of the synthetic division is x + 5
Read more about synthetic division at:
brainly.com/question/24662212
Let's take any edge length l. The diagonal has length
. In our case it's
