Answer:
Look below
Step-by-step explanation:
Given that CDB is 90 degrees, ACB is 90 degrees, and ACD is 60 degrees, we can determine that DCB = 90-60 = 30 degrees.
This means triangle BCD is a 30-60-90 (angle measures) right triangle
The proportions of the sides (from smallest to largest) is
x:x√3:2x
We are given that BC = 6 cm. This means...
2x=6
x=3
This means DB is 3 cm and CD is 3√3 cm
Using the linear pair theorem, we can find that Angle CDA is 90 degrees. This means ACD is also a 30-60-90 triangle.
x=3√3
x√3=9
2x=6√3
Now we need to find AB
AB = AD + DB
AB = 9 + 3
AB = 12 cm

Answer:
2x -6
Step-by-step explanation:
2x is slope
-6 is y intercept
The function passes though -6
a slope of 2 means the function goes up 2 and over 1 unit for every 1 x unit
Distribute the 8p to all of the numbers in the parenthesis. You would multiply the coefficient and add the exponents. The answer would be B.
Answer:
-5x^2 +14x +24
Step-by-step explanation:
(x-4)(-5x - 6)
FOIL
first : x*-5x = -5x^2
outer : -6x
inner: -4*-5x = 20x
last: -4*-6 = 24
Add them together
-5x^2 -6x+20x +24
-5x^2 +14x +24