Answer:
For
, x = 2, or x = - 2.
Step-by-step explanation:
Here, the given expression is :

Now, using the ALGEBRAIC IDENTITY:

Comparing this with the above expression, we get

⇒Either (x-2) = 0 , or ( x + 2) = 0
So, if ( x- 2) = 0 ⇒ x = 2
and if ( x + 2) = 0 ⇒ x = -2
Hence, for
, x = 2, or x = - 2.
Answer:
m∠C = 90°
Step-by-step explanation:
Triangle BDC is a right triangle with the measure of angle D = 90°
By applying Cosine rule in the given triangle,
Since, Cosine of any angle in a right triangle is a ratio of Its adjacent side and Hypotenuse (Opposite side of the right angle)
CosC = 
CosC = 
CosC = 

C = 28.955
C = 29°
Therefore, m∠C = 29° will be the answer.
Answer:
Greatest = 98,321
Least= 12,389
98,321>12,389
Step-by-step explanation:
there are only 5 digits. To get the greatest number, the digits with the most value should be put in front to ensure the great value.
To get the smallest number, the digits with the least value should be put in front.
The greater valued number is greater than the least valued number
First, change the mixed numbers into improper fractions: 1 1/4 —> 5/4 and 3 1/3 —> 10/3
rewrite equation: 4/5(5/4x + 10/3) and then distribute to 4/5(5/4x) + 4/5(10/3) = 20/20x + 40/15
simplify the sum: x + 8/3
convert 8/3 to a mixed number: 2 2/3
final answer: B. x + 2 2/3