Answer:
x = 7/30
Step-by-step explanation:
Identify the LCD; it is 30. 30 is the smallest number divisible by both 3 and 10.
Then we have:
(30/30)x + 20/30 = 27/30.
Clearing out the fractions, we get:
30x + 20 = 27, or 30x = 7
Dividing both sides of this result by 30 yields x = 7/30.
Use Square of Sum: (a + b)^2 = a^2 + 2ab + b^2
b^2 + 2b * 12 + 12^2
Simplify 12^2 to 144
b^2 + 2b * 12 + 144
Simplify 2b * 12 to 24b
b^2 + 24b + 144
Answer:
D
Step-by-step explanation:
Here, we want to get the equation of the line perpendicular to;
y = -3x + 2
From here, we can compare with the standard form of the equation of a straight line which is;
y = mx + c
From here m = -3
The slope is -3
Now, if two lines are perpendicular, the product of their slopes is -1
Thus;
-3 * m = -1
m = 1/3
So we want to select an equation out of the options that has a slope of 1/3
Let us take a look at the last option
x -3y = 3
3y = x-3
divide through by 3
y = x/3-1
So here the coefficient of x is 1/3 which is the slope of the perpendicular line that we are looking for and is our slope
Answer:
ovlivia makes more per hour than kayle
Step-by-step explanation:
ovlivia makes $8.75 per hour while Kayle makes $8.5 per hour