Answer:
(4, - 0.5 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[
,
]
Here (x₁, y₁ ) = C(1, - 6) and (x₂, y₂ ) = D(7, 5) , then
midpoint = (
,
) =
,
) = (4, - 0.5 )
Answer:
---Atlanta
--- Salt Lake City
Step-by-step explanation:
Given
The round trip flight data of Atlanta and Salt Lake City
Required
The mean price of both
Mean is calculated as:

For Atlanta



For Salt Lake City


Answer:
x = -2, 3, -4.
Step-by-step explanation:
x^3 - 10x = -3x2 + 24 = 0
x^3 + 3x^2 - 10x - 24 = 0
The last term is 24 and the coefficient of x^3 is 1 so +/- 1, +-2, +/- 3 and +/- 4 could be among the roots ( by The Rational Root Theorem).
Let x = 1
f(x) = 1^3 +3(1)^2 - 10 - 24 = -30 so it's no t .
f(-1) = -1 + 3 + 10 - 24 = -12 so it's not -1.
Let x = 2:
f(2) = 2^3 +3*4 - 20 - 24 = -32 so its not 2
f(-2) = -8 + 12 + 20 - 24 = 0 so x = -2 is a root
and therefore x+ 2 is a factor and we divide:
x + 2 ) x^3 + 3x^2 - 10x - 24 ( x^2 + x - 12 <------ The quotient
x^3 + 2x^2
x^2 - 10x
x^2 + 2x
-12x - 24
-12x - 24
..............
Now x^2 + x - 12 = (x - 3)(x + 4)
So (x + 2)(x - 3)(x + 4) = 0
This gives
x = -2, 3, -4.




In matrix multiplication, the number of columns in the 1st matrix is equal to the number of rows in the 2nd matrix.

Multiply each element of the 1st row of the 1st matrix by the corresponding element of the 1st column of the 2nd matrix. Then add these products to obtain the element in the 1st row, 1st column of the product matrix.

The remaining elements of the product matrix are found in the same way.

Simplify each element by multiplying the individual terms.

Now, sum each element of the matrix.
