2x + 3y = 6
3y = - 2x + 6
y = -2/3x + 2....slope here is -2/3
A parallel line will have the same slope
y = mx + b
slope(m) = - 2/3
(-2,3)...x = -2 and y = 3
now we sub, we r looking for b, the y intercept
3 = -2/3(-2) + b
3 = 4/3 + b
3 - 4/3 = b
9/3 - 4/3 = b
5/3 = b
ur equation is : y = -2/3x + 5/3 (slope intercept form)
y = -2/3x + 5/3
2/3x + y = 5/3
2x + 3y = 5 (standard form)
The answer is y = 35x + 20.
In order to find this, start with two ordered pairs. For the purpose of this problem, we'll use (1, 55) and (2, 90). Now we use the slope formula to find the value next to x in the equation.
m(slope) = (y2 - y1)/(x2-x1)
In this equation (x1, y1) is the first ordered pair and (x2, y2) is the second. Plug in to the equation and solve.
m = (90 - 55)/(2 - 1)
m = 35/1
m = 35
Now that we have the slope, plug that into the equation along with either point to find the intercept (the last number).
y = mx + b
55 = 35(1) + b
55 = 35 + b
20 = b
Now that we have the slope and intercept, we can use each to fill in those blanks.
y = 35x + 20
Answer: 23
Step-by-step explanation:
Let X = the number of pennies.
The number of nickels would be 2X
A penny is 0.01 and a nickel is 0.05
Now you have:
0.01x + 2(0.05x) = 8.80
Simplify:
0.01x + 0.10x = 8.80
Combine like terms:
0.11x = 8.80
Divide both sides by 0.11:
x = 8.80 / 0.11
x = 80
Pennies = X = 80 total pennies.
Nickels = 2x = 2 *80 = 160 nickels.
Answer:
No.
Step-by-step explanation:
A regular polygon has all sides and angles congruent. This is not possible with a concave polygon. If the sides are congruent in a concave polygon the angles are not congruent.
