Answer:
-5
Step-by-step explanation:
Using rules of exponents we can change this equation to
y ^ (-9 * b) = y^45
-9*b = 45
b = -5
You would write AB with a horizontal line segment over the letters A and B
So you would write this 
If you cannot draw that on your computer, then I would stick to saying "segment AB".
Hello from MrBillDoesMath
Answer: y = 3x -10
Discussion
:
Since the line is parallel to y = 3x + 7, the lines have the same slope. This means the point intercept of the parallel line is
y = 3x + b
As the new lines passes through (2, -4). substitute the x and y values of that point in the new equation:
(-4) = 3 (2) + b =>
-4 = 6 + b => (subtract 6 from each side)
-4 -6 = (-6 + 6) + b =>
-10 = 0 + b =>
b = -10
y = 3x -10 is the equation of the parallel line
Thank you,
Mr. B
Answer:
8
Step-by-step explanation:
Math Word Problem: Twice one number added to another number is 18. Four times the first number minus the other number is 12. Find the number.?
Let the two numbers be x and y
As per statement twice one number added to another number is 18.
2x + y = 18
y = 18 - 2x…Eq..1
Four times the first number minus the other number is 12.
4x - y = 12…Eq..2
Now substituting the value of y from Eq..1 to Eq..2
4x - y = 12
4x - (18 - 2x) = 12
4x - 18 + 2x = 12
4x + 2x = 12 + 18
6x = 30
x = 30 / 6
x = 5
Thus one number is 5. Now calculating the other number by putting the value of x in Eq. 1
y = 18 - 2x
y = 18 - 2×5
y = 18 - 10
y = 8
Other number is 8
Answer the two numbers are 5 and 8
Let us check the correctness of answer by putting the value of x and y in Eq. 1
y = 18 - 2x
8 = 18 - 2 × 5
8 = 18 - 10
8 = 8
Means answer is correct
