ΔADC is a right angle triangle, we will use the Pythagorus Theorem to find the length CD.
Formula of the Pythagorus Theorem :
⇒ a² + b² = c²
⇒ AD² + CD² = AC²
The value of AD is 54 and the value of AC is 90:
54² + CD² = 90²
Solve for CD:
54² + CD² = 90²
CD² = 90² - 54²
CD² = 5184
CD = √5184
CD = 72
ΔADC is also a right angle triangle, we will use the Pythagorus Theorem to find the length BD.
Formula of the Pythagorus Theorem :
⇒ a² + b² = c²
⇒ BD² + CD² = BC²
The value of CD is 72 and the value of BC is 97:
BD² + 72² = 97²
Solve for BD:
BD² = 97² - 72²
BD² = 4225
BD = √4225
BD = 65
Answer: The length of BD is 65 units.
F(x) = -2(x + 3)^2 - 1
vertex = (-3, -1)
domain is all real number values of x and
range is all real numbers values of y less than or equal to -1.
Answer:
a. 40
Step-by-step explanation:
Given
and 
We plug in 2x into .
We now substitute x=-3.
The correct choice is A.
Hey there!
The answer to your question is one zero.
To solve this, we can first start by finding the cube root.
![\sqrt[3]{1000}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B1000%7D)
The answer to this is 
, because 
Now, we can see that there is one zero at the end of .
Hope it helps and have a great day/night! Stay safe!
