Answer:
43.5 unit^2.
Step-by-step explanation:
Area of the triangle
= 1/2 * base * height
= 1/2 * AB * AC.
AB = √ [(6-1)^2 + (6-8)^2] = √29
AC = √ [(8 - (-7))^2 + (1 - (-5)^2] = √261
So the area = 1/2 * √29 * √261
= 43.5
I think the answer is:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(
−
∞
,
∞
)
(
-
∞
,
∞
)
Set-Builder Notation:
{
x
|
x
∈
R
}
{
x
|
x
∈
ℝ
}
Hope this helped:)
Answer:

Step-by-step explanation:
Start by multiplying both sides by 2, this will get rid of the fraction on the left side and will result in the equation 
Then, subtract 2m from both sides, which leaves the equation as 
Then, subtract 6 from both sides, this results with the equation 
Finally, divide both sides by 10, this will result in m=-1
Answer:

Step-by-step explanation:
In this graph, we have the coordinate point (
). Without translations, cos(0) = 0, which means that the graph is shifted to the right by
. We also know that the graph is shifted down by 1 because we have the point
(
), but accounting for the right shift, this point should really by (
). cos(
) = -1, but on the graph it is -2, meaning that it is shifted down by 1.
Therefore, accounting for the right shift by
and the shift down by 1, our equation is
.
Question 1.x - 7 > - 8
Adding 7 to both sides, we get:
x - 7 + 7 > - 8 + 7
x > -1
Thus the answer to the inequality is option Fourth.Question 2.
A number exceeds 66. Let that number be x. The number exceeds 66 means that the number is larger than 66. So in form of an expression we can write the inequality as:
x is greater than 66
x > 66
So, option 1st gives the correct answer.Question 3.The tiles are square shaped and area of a square can be calculated as the square of its Length.
Area of square = (Length)²
If we are given the Area, we can find the length as:
Length =

For Tile A, the length will be:
So length is a Rational number
For Tile B, the length will be:
So length is a Rational number
For Tile C, the length will be:
So, Length is not Rational.
For Tile D, the length will be:
Length is not Rational
Thus, the lengths of Tile A and Tile B are rational only.
Therefore, the correct answer is 1st option