Option 1 : -22
using formula
(a + b )(a - b ) = a^2 - b^2
(√10 + 2√8) (√10 - 2√8)
= (√10)^2 - (2√8)^2
= 10 - 2×2×8=10-32
= -22
2nd question answer is option 3
Is this rsm? lol okay.
x is the amount of money invested at 5%
y is the amount of money invested at 6%
the total amount of money invested is $6000, or x+y
when it says the yearly income is $337.50, it means that the 5% of x plus the 6% of y equals $337.50.
now write the two equations:
x+y =6000
0.05x + 0.06y = 337.50
now, find y for the first equations, which is y= 6000 - x. use this equation to substitute for the second equation.
0.05x + 0.06(6000 -x) = 337.50
blah, blah, blah, solve for x... you should get x = 2250, and y = 3750.
I hate money problems like this, hope it helps.
Answer:
distributive property
Step-by-step explanation:
we know the distributive property states that the multiplication of a number (in this case, the number 4) by a sum (in this case is a subtraction: x-6) is equal to the sum of the multiplications of that number for each of the terms that belong to the sum:
we have: 4(x-6)
we apply the distributive property, so we have
4(x-6)=4*x-4*6
4(x-6)=4x-24
Since the starting and original place is a 4 x 3 rectangle, and the new position already has a side length of 3. We are now going to look for the two points that make a second side of 4. So, the points C(1, -5) and D(4, -5) satisfy the requirements.
