Answer:
500 pennies
Step-by-step explanation:
Given that
Carmen saved 592 pennies.
Her sister saved 128 pennies.
Together, they put 250 pennies in wrappers and took them to the bank
We need to find out the total number of pennies Carmen and her sister have left
So,
= 592 pennies + 128 pennies - 250 pennies
= 470 pennies
= 500 pennies
First, let's convert each line to slope-intercept form to better see the slopes.
Isolate the y variable for each equation.
2x + 6y = -12
Subtract 2x from both sides.
6y = -12 - 2x
Divide both sides by 6.
y = -2 - 1/3x
Rearrange.
y = -1/3x - 2
Line b:
2y = 3x - 10
Divide both sides by 2.
y = 1.5x - 5
Line c:
3x - 2y = -4
Add 2y to both sides.
3x = -4 + 2y
Add 4 to both sides.
2y = 3x + 4
Divide both sides by 2.
y = 1.5x + 2
Now, let's compare our new equations:
Line a: y = -1/3x - 2
Line b: y = 1.5x - 5
Line c: y = 1.5x + 2
Now, the rule for parallel and perpendicular lines is as follows:
For two lines to be parallel, they must have equal slopes.
For two lines to be perpendicular, one must have the negative reciprocal of the other.
In this case, line b and c are parallel, and they have the same slope, but different y-intercepts.
However, none of the lines are perpendicular, as -1/3x is not the negative reciprocal of 1.5x, or 3/2x.
<h3><u>B and C are parallel, no perpendicular lines.</u></h3>
A million is a thousand thousands :
7,000,000
<span>Hexagon side = 12/6 = 2
Area formula : 3L²</span>√3/2 = 3*2²√3/2 = 6√3
