Bearing in mind that an absolute value expression is in effect a piece-wise function with two cases, thus

$\bf |-n|=
\begin{cases}
+(-n)\\
-(-n)
\end{cases}\implies 
\begin{cases}
-n\\
n
\end{cases}
\\\\\\
n|-n|=2n\implies 
\begin{cases}
n-n=2n\implies 0=2n\implies &0=n\\
n+n=2n\implies 2n=2n\impliedby &inconsistent
\end{cases}$

6 0

2 years ago

Please help me . Find x.

Paladinen [302]

Answer:

12) 5.96 ; 13)

Step-by-step explanation:

12). x and 5 are legs, so

opposite leg/adjacent leg = tangent 40°

5/x= tan40°, 5= x*tan40°, x= 5/tan40° ≈ 5.96

13). 15 is opposite leg

24 is hypotenuse

opposite leg/hypotenuse = sin(x)

sin(x) = 15/24

x = arcsin(15/24) ≈ 38.68°

6 0

2 years ago

A child finds a cone-shaped pile of wet sand at the beach. She uses a bucket to move the sand pile to a different spot. The buck

Anika [276]

Answer:

Girl- Where's the radius and the heights of the cone tho-

Step-by-step explanation:

8 0

2 years ago