Answer:
Step-by-step explanation:
a: A(4,-3) B(4,-1) C(1,-1) D(1,-3)
b: A(-4,3) B(-4,1) C(-1,1) D(-1, 3)
c:yes because you are just changing the direction not the shape or size
You can formulate your own equations by analyzing the given problem and its statements. You can do some illustrations so you can understand it better. Introduce some variables and the rest is algebra. For example:
An orange costs $2 while a banana costs $1.5. How many oranges and bananas do you have to buy such that the total cost would equal to $20. You bought a total of 12 fruits.
First, you have to introduce variables. Let 'x' be the number of oranges and 'y' be the number of bananas. One equation you can get from here is knowing the amount of total cost: 2x + 1.5y = 20. Then, the other equation would be knowing the amount of fruits: x+y=12. You have two unknowns and two equations. Hence, you can solve the problem. Solving them simultaneously, you would get that x=4 and y=8.
Answer:
Below in bold.
Step-by-step explanation:
c) 3 x (9^2)^3/4 x ((81^3)^5/6
= 3 x 81^3/4 x 81^15/6
= 3 x 81^(3/4 + 15/6)
= 3 x 81^13/4
= 3 x 3^13
= 3^14
= 4,782,969.
f) (5x^-1y^2)^-2 / (25 x^2 y - 1)^2
= 5^-2 x^2y^-4 / 625 x^4y^-2
= 5^-2 x^-2 y^-2 / 5^4
= 5^-6 x^-2y^-2
= 0.000064x^-2y^-2.
Answer:
Cora's spend will be = $ 16.66
Step-by-step explanation:
Let y be the amount Ben spent
As Ava spent three times Ben will be 3y and half as much Cora(2y)
so the equation becomes
y + 2y + 3y = 50
6y = 50
y = 50/6
y = 8.33
So Cora's spend will be : 2y = 2(8.33) = 16.66 units currency
Note: if currency is in $
Then Cora's spend will be = $ 16.66
