5x - 2y = 3
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
The quadrilateral ABCD consists of two triangles. By adding the area of the two triangles, we get the area of the entire quadrilateral.
Vertices A, B, and C form a right triangle with legs ,
, and
. The two legs, 3 and 4, represent the triangle's height and base, respectively.
The area of a triangle with base and height
is given by
. Therefore, the area of this right triangle is:
The other triangle is a bit trickier. Triangle is an isosceles triangles with sides 5, 5, and 4. To find its area, we can use Heron's Formula, given by:
, where
,
, and
are three sides of the triangle and
is the semi-perimeter (
).
The semi-perimeter, , is:
Therefore, the area of the isosceles triangle is:
Thus, the area of the quadrilateral is:
The statement that -6 is in the domain of f(g(x)) is true
<h3>Complete question</h3>If f(x) = -2x + 8 and g(x) = , which statement is true?
- -6 is in the domain of f(g(x))
- -6 is not in the domain of f(g(x))
We have:
f(x) = -2x + 8
Start by calculating the function f(g(x)) using:
f(g(x)) = -2g(x) + 8
Substitute
Set the radicand to at least 0
Subtract 9 from both sides
This means that the domain of f(g(x)) are real numbers greater than or equal to -9. i.e. -9, -8, -7, -6, ...........
Hence, the statement that -6 is in the domain of f(g(x)) is true
Read more about domain at:
#SPJ1