Reduce the number of terms in the expression by operating on like terms
for example
Simplify
x^2 - 3x + 4 + x^2 + 6x - 6
the like terms are the x^2 and x^2 , -3x and 6x and 4 and -6
so we have
x^2 + x^2 - 3x + 6x + 4 - 6
= 2x^2 + 3x - 2
This is the simplified form of the original expression
Answer:1188
Step-by-step explanation:
9514 1404 393
Answer:
F. 30·tan(52°)
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationship between the opposite and adjacent sides in a right triangle.
Tan = Opposite/Adjacent
tan(52°) = BD/DL
BD = DL·tan(52°)
The boat-to-dock distance is ...
30·tan(52°) . . . . matches F
Answer:
a = 15
Step-by-step explanation:
The Pythagorean theorem applies:
a² + 20² = 25²
a² = 625 - 400 . . . . . subtract 20²
a = √225 . . . . . . . . . . take the square root
a = 15
_____
You might recognize that the given measures (20, 25) are in the ratio 4:5. There is only one right triangle with sides in that ratio: the 3:4:5 right triangle. That is, the unknown side (a) matches
a : 20 : 25 = 3 : 4 : 5 . . . . numbers on the left are 5 times those on the right
a = 5·3 = 15
126+41+x(this is the third angle)=180
167+x=180
-167 -167
X=13
The third angle is 13 degrees.