Answer:
81y^4 - 16x^2, difference of squares.
Step-by-step explanation:
So we need to expand the following product:
(9y2-4x)(9y2+4x) = 9y2*9y2 + 4x*9y2 - 4x*9y2 -4x*4x = 81y^4 - 16x^2
And this type of product is the difference of squares.
Consider two pairs of coordinates (x₁, y₁) and (x₂, y₂), the mid-point of these coordinates are
We have midpoint (-1, 7i) and one pair of coordinate (3, 8i)
The other pair of coordinate would be given by
The value of x is (2 × -1) - 3 = -2 - 3 = -5
The value of y is (2 × 7) - 8 = 14 - 8 = 6
The value of x represents the real part
The value of y represents the imaginary part
The other coordinate is (-5, 6i)
Answer:
12 cleaners
Step-by-step explanation:
8 cleaner can clean in 3 hours = 1 office
1 cleaner can clean in 3 hours = part of job
1 cleaner can clean in 1 hours = part of job
Let the number of cleaner required to finish the job in 2 hours = x
hence
x cleaner can clean in 1 hours = part of job
x cleaner can clean in 2 hours = part of job
Hence
Hence we need 12 men to complete the same job in 2 hours
Answer:
4 and 5
Step-by-step explanation:
Let's make an equation to solve. Let's call "one number" x. Another number is 1 more than x, so now we have x + 1. x plus x + 1 is equal to 9... and this gives us our equation:
x + (x + 1) = 9
We can now simplify by adding like terms together:
2x + 1 = 9
Now, let's take away 1 from both sides:
2x = 8
We can finally divide both sides by 2 to isolate x:
x = 4
One of our numbers is 4. Our other number is one more than 4, and 4 + 1 = 5. So our numbers are 4 and 5.
Hopefully this was helpful! If you need more help, let me know.
The and would be y=-1/3x-5 because to find slope you would use the equation y2-y1 divided by x2-x1 and find the slope of -4/12 which simplifies to -1/3 and the y-int is -5 so you would just plug that in.