Step-by-step explanation:
(a+bi)2
=a2 +2abi +b2i2
=a2 +2abi + b2. (-1)
=a2 -b2 +2abi
Answer = (a+b(a-b) +2abi
Answer:
B. 4.5c + 4 = 24
Step-by-step explanation:
T = cx + py is the equation you are given.
T = 24 because it is the total amount of money you can spend.
x = 4.5 because each phone case costs 4.50 dollars
p = 2 because you bought 2 pop sockets.
y = 2 because each pop socket costs 2 dollars.
There is no c because you don't know the number of phone cases you bought.
Now, we have to substitute the values into the equation:
24 = 4.5x + 2(2)
24 = 4.5x + 4
4.5x + 4 = 24 <--- This is your answer
Hope this helps!
Answer:
2 is the correct option.
Step-by-step explanation:
We have the equation
.
We will plot the graphs of the function
and
.
Then, the intersection points of both the graph will be the solution of the equation
.
From the graphs, we see that,
The intersection points of the graphs are (0,1) and (2.337,10.347).
The solution of the equation is the value of 'x' co-ordinate where they intersect.
So, we get, x = 2 is the correct option.
By counting grid squares, we see the library is 5 miles north and 6 miles east of Ashley's house. Using the Pythagorean theorem, we can find the straight-line distance to be
.. d = √(5^2 +6^2)
.. = √(25 +36)
.. = √61 . . . . . miles
.. ≈ 7.81 . . . . miles
Answer:
Area = 21/2 = 10.5 area units
Step-by-step explanation:
Two of the points are on the same line (the y-axis) as they both have x-coordinates of 0. This can thus be the base of your triangle.
Two more are on the same line (y= -9) as they both have the same y-coordinate of -9. This can be the height of your triangle.
So you have a base which is between -2 and -9 (7 units) and a height which is between 0 and 3 (3 units) so now just use the equation for area of a triangle