Answer:
C
Step-by-step explanation:
y = 2x + 5
the slope (m) of this line is 2 (which can be written as 2/1)
The slope of a perpendicular line is -1/m (the reciprocal of the slope with the opposite sign)
so m = 2/1 => -1/m = - 1/2 = the slope of a line perpendicular to y = 2x + 5
5x - 7y =58
y =-x +2
Using the substitution method, replace y in the first equation with the second equation:
5x - 7(-x+2) = 58
Simplify by using the distribution property:
5x - (-7x) - 14 = 58
Simplify by combining like terms:
12x -14 = 58
Add 14 from each side of the equation:
12x = 72
Divide both sides by 12:
X = 72/12
x = 6
Now you have x, replace x in the second equation and solve for y:
y = -x +2
y = -6 +2
y = -4
X = 6, y = -4
Answer:
27
Step-by-step explanation:
Put this into numbers:
Use Order of Operations to simplify. First, you would do the stuff in parentheses which is:
Inside of those parentheses first simplify the exponents:
Now add
So the new equation is:
The next step is to simplify the exponents
Multiply out the top
Divide this
Answer:
9 yards
Step-by-step explanation:
Given data:
Needed fabric = 58feet
Available fabric = 10 1/3 yards
<em>To convert yard to feet, the yards are multiplied by 3</em>
10 1/3 yards = 31/3 * 3 = 31 feet.
More fabric needed = 58 - 31
More fabric needed = 27 feet
More fabric needed in yards = 27/3
More fabric needed in yards = 9
