Answer:
83 + 61 = 144
83 - 61 = 22
Step-by-step explanation:
x + y = 144
<u>x - y = 22</u>
2x = 166
x = 83
83 + y = 144
y = 144 - 83
y = 61
Hello from MrBillDoesMath!
Answer:
y = (2/3)x + 16
Discussion:
Given line:
2x - 3y = 6 => add 3y to both sides
2x = 6 + 3y => subtract 6 from both sides
2x -6 = 3y => divide both sides by 3
y =(2/3)x - 2
The slope of this line, m, (2/3) and any line parallel to the given line has the same slope. We are looking for the line with slope (2/3) passing through (-6, 12)
y = (2/3)x + b => substitute (x,y) = (-6, 12) in the equation
12 = (2/3)(-6) + b => add (2/3)(6) = 12/3 = 4
12 + 4 = (2/3)(-6) + (2/3)(6) + b => as (2/3)(-6) + (2/3)(6) = 0
12 +4 = 0 + b =>
b = 16
Hence the equation of the parallel line through ( -6,12) is
y = mx + b
=(2/3)x + 16
Check: is (-6,12) on this line? Does 12 = (2/3)(-6) + 16 = -4 + 16 = 12? Yes!
Thank you,
MrB
Answer: y = 3x + 7
Step-by-step explanation:
Since we are given the slope and y intercept we could write the equation in slope intercept form as y=mx +b .Only m and b are needed to write the equation.M is the slope and B is the y intercept.
Answer:
4s¹²/(9t⁴)
Step-by-step explanation:
<u>Solving in steps:</u>
- (3s⁻⁴t⁷s⁰)⁻²(-2s²t⁵)² =
- 3⁻²s⁻⁴ˣ⁻²t⁷ˣ⁻²(-2)²s²ˣ²t⁵ˣ² =
- 1/9×s⁸t⁻¹⁴(4)s⁴t¹⁰ =
- 4/9 ×s⁸⁺⁴t⁻¹⁴⁺¹⁰ =
- 4/9 ×s¹²t⁻⁴=
- 4s¹²/(9t⁴)
Answer:
Step-by-step explanation:
Since we have common denominators inside the parentheses, we can combine the denominators. Then, we get the following expression:
Now, we can multiply the expression inside the parentheses by 2.
Since the expression inside the parentheses cannot be <u>simplified further</u>, we can open the parentheses and simplify the expression.
We can combine the denominators as the denominators are the same.
Finally, we can simplify -4 + 3.
Therefore, the simplified expression is (2m - 1)/5.
Learn more about combining like terms: brainly.com/question/13080103
