Solution: The needed answer for first blank is 1 and the needed a for second blank is 1.
Explanation:
The given equation is 
.
The form of perfect square is 
.
The given equation can be written as 
.
To make the perfect square we can add or subtract 
in the given equation. Where, a is coefficient of 
and b is coefficient of x. In the parenthesis the coefficient of is 1 and coefficient of x is 2.
So, the given equation is written as 
Therefore, the needed answer for first blank is 1 and the needed a for second blank is 1.
Answer:
x = 10°
y = 25°
Step-by-step explanation:
3x = 5x - 20 because they are alternate interior angles
subtract 5x from each side of the equation:
-2x = -20
Divide both sides by -2:
x = 10°
The sum of the interior angles of any triangle = 180°
2y + 4Y + (5x - 20) = 180°
combine like terms:
6y + 5x - 20 = 180°
add 20 to each side:
6y + 5x = 200°
substitute for x:
6y + 5(10) = 200°
subtract 50 from each side:
6y = 150°
divide both sides by 6:
y = 25°
Answer:
5/48
Step-by-step explanation:
Answer:
The two values of production level are:
x = 20
or
x = 140
Step-by-step explanation:
Let's write the Profit equation by subtracting the cost function from the revenue one:
Now, we set to find the production level "x" to give us a profit of $ 700:
So we solve this quadratic equation using the quadratic formula:
which gives two posible solutions: x = 20, or x = 140
Answer:
9.08x10^-3
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
