Answer:
(45,35)
Step-by-step explanation:
1 - Stack the equations on top of each other
3x - 4y = -5
4x + 4y = 40
2 - We can eliminate by subtracting the bottom equation from the top equation
3x - 4y = -5
- 4x - 4y = 40
3 - The y's cancel out, leaving us with...
3x = -5
- 4x = 40
4 - Continue simplifying
-1x = -45
5 - We can switch the -1x with -x to make things simple
-x = -45
6 - Positize (make it positive) the statement
x = 45
7 - Halfway there! Substitute the x value into one of the equations
(3 * 45) - 4y = -5
8 - Solve
135 - 4y = -5
Minus 135 on both sides
-4y = -140
Divide by -4 on both sides
y = 35
9 - Here is your answer!!
x = 45
y = 35
(45,35)
The slope-intercept form:
m - slope
b - y-intercept
The formula of a slope:
substitute the coordinates of the points (8, 0) and (20, 12) to the formula:
y = 1x + b = x + b
Put the coordinates of the point (8, 0) to the equation of a line:
0 = 8 + b <em>subtract 8 from both sides</em>
-8 = b
<h3>Answer: y = x - 8</h3>
Length = 2 breadth +6
perimeter= 4(length+ breadth)
168=4(2breadth +6+breadth
42={3breadth+6)
14=breadth +2
breadth =12
length=30
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Answer:
D. The system is in echelon form.
Step-by-step explanation:
Check attachment
Answer:
Step-by-step explanation:
To find the least number of party favors, we have to consider the number of guests.
In this case, there are two possibilities—6 or 8.
For 6: 6, 12, 18, 24 (Add 6 to each number)
For 8: 8, 16, 24 (Add 8 to each number)
Now in both series, the least number (that is in common) is 24. Hence, Madison should make at least 24 party favors.
