Good evening
Answer:
- 18x + 15
- 3(6x + 5)
Step-by-step explanation:
Unfortunately you didn’t provide the expressions to chose from ,however we can get other expressions From this one like this:
5(4x+3) - 2x = 20x + 15 - 2x
= (20x - 2x) + 15
= 18x + 15
we can also write 18x + 15 = 3×(6x) + 3×(5x) = 3(6x + 5)
then
these two expressions :
are equivalent to 5(4x+3) - 2x
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:)
Answer:
A discrete graph is a graph that is composed of distinct isolated points. A discrete graph has space between possible data values
Step-by-step explanation:
i hope this helps :)
Answer:
f(g(9)) = 945/16
Step-by-step explanation:
To find f(g(x)), you have to substitute g(x) wherever there is an x in f(x).
g(x) = x + 3/4
f(x) = x² - 4x - 3
f(g(x)) = (x + 3/4)² - 4(x + 3/4) - 3
f(g(x)) = x² + 3/2x + 9/16 - 4x + 3 - 3
f(g(x)) = x² - 5/2x + 9/16 + 3 - 3
f(g(x)) = x² - 5/2x + 9/16
Now, put a 9 wherever there is an x in f(g(x)).
f(g(9)) = (9)² - 5/2(9) + 9/16
f(g(9)) = 81 - 5/2(9) + 9/16
f(g(9)) = 81 - 45/2 + 9/16
f(g(9)) = 117/2 + 9/16
f(g(9)) = 945/16
Given:
The figure of a quadrilateral ABCD.
To find:
The perimeter of the quadrilateral ABCD.
Solution:
In an isosceles triangle, the two sides and base angles are congruent.
In triangle ABD,
[Given]
is an isosceles triangle [Base angle property]
[By definition of isosceles triangles]
...(i)
In triangle BCD,
[Given]
All interior angles of the triangle BCD are congruent, so the triangle BCD is an equilateral triangle and all sides of the triangle area equal.
[Using (i)] ...(ii)
Now, the perimeter of quadrilateral ABCD is:



Therefore, the perimeter of the quadrilateral ABCD is 35 units.