Answer:
perimeter = 28.13 cm
Step-by-step explanation:
Calculate the length of a line drawn from A to C.
sin 85 = b/8, b = 7.97
cos 85 = c/8, c = 0.697
AC² =7.97² + (6 + 0.697)² = 63.52 + 44.85 = 108.37
AC = 10.41
Now you have a right triangle ADC with a known hypotenuse and one leg.
Using the Pythagorean theorem:
DC² = 10.41² - 5²
DC² = 108.37 - 25 = 83.37
DC = 9.13 cm
perimeter = 5 + 6 + 8 + 9.13 = 28.13 cm
Answer:
588
Step-by-step explanation:
((16 - (4/2))^2) × 3 Simplify the inner parentheses
((16 - 2)^2) x 3 Solve inner parentheses again
((14)^2) x 3 Solve exponents
196 x 3 Multiply
588
The perimeter of a shape is the sum of the lengths of its sides.
So, to find the perimeter of this quadrilateral, all we have to do is add the side lengths and simplify.
(x² - 6) + (2x + 5) + (x² - 3x) + (4x² + 2x)
x² + x² + 4x² + (-3x) + 2x + 2x + (-6) + 5
6x² + (-3x) + 2x + 2x + (-6) + 5
6x² + x + (-6) + 5
6x² + x + (-1)
6x² + x - 1
So, the perimeter of the quadrilateral is the quantity (6x² + x - 1).
Hope this helps!
Answer:
Step-by-step explanation:
I'm seeing that f(x) is

What you do to find an inverse is switch the x and y coordinates and then solve for the new y. Switching the x and y gives us:

Now we have to solve for the new y. Begin by muliplying both sides by 6 to get:
6x = 3y - 2 and
6x + 2 = 3y so
2x + 2/3 = y
To put it back into function notation:
