Answer:
Whatever option has a slope of 3/4 and isn't y = 3/4x + 2
Step-by-step explanation:
This means that it has to have a slope of 3/4 (written as 3/4x + b). This is because parallel lines have the same slope; rearranging the first equation gets us y = 3/4x + 2. So, our slope for a parallel line has to be 3/4.
Answer:
C. 4.2a + 0.8
Step-by-step explanation:
Given:
The two binomials given for addition are:
and 
Now, adding both the binomials, we get:
Distributing the positive sign inside the second binomial, we get:
Now, combining like terms using the commutative property of addition, we get:
Simplifying the above expression, we get:
Therefore, the resulting addition of the given binomials is 
Hence, option C is the correct answer.
Answer:
42 (square root>) 10 + 51 (square root>) 5
Step-by-step explanation:
Answer:
80 pieces of wire.
Step-by-step explanation:
It may not come out evenly. If there is a remainder, it won't matter. Just throw it away and go with the integer answer.
Change 3 3/4 to a decimal
3.75
Change the 25 foot roll to inches.
25 feet * 12 inches / foot = 300 inches.
Now how many pieces of wire do we get.
1 piece of wire/3.75 inches = x pieces of wire / 300 inches
3.75 * x = 300
3.75 * x / 3.75 = 300 / 3.75
x = 80
Answer:
11. 78
12. 4x² - 3x - 1
Step-by-step explanation:
11. Sum of n whole numbers = ½(n² + n)
Multiply
½*n² + ½*n
= n²/2 + n/2
To find the sum of the first 12 whole number, substitute 12 for n into the equation.
= 12²/2 + 12/2
= 144/2 + 12/2
= 72 + 6
= 78
12. Area of trapezoid = ½(a + b)*h
Where,
a = 5x - 4
b = 3x + 2
h = x + 1
Area = ½(5x - 4 + 3x + 2)*(x + 1)
Area = ½(8x - 2)*(x + 1)
Area = ½[8x(x + 1) -2(x + 1)]
= ½[8x² + 8x - 2x - 2]
Add like terms
= ½(8x² - 6x - 2)
= ½(8x²) - ½(6x) - ½(2)
= 4x² - 3x - 1
