Answer:
x = 12.
Step-by-step explanation:
If P(5,4),Q(8,10) and R(x,18) are collinear
then the slope of PQ equals the slope of QR
hence:
(10 - 4)/(8 - 5) = (18 - 10)/(x - 8)
6/3= 8/(x - 8)
2 = 8/(x - 8)
multiplying both sides by (x - 8) gives:
2(x - 8) = 8
2x - 16 = 8
2x = 8 + 16 = 24
hence x = 12
Answer:
FALSE
Step-by-step explanation:
the correct answer is FALSE
A matrix is said to be orthogonal when it is multiplied by its own transpose then the matrix comes out to be Identity.
the basic condition for a matrix to be diagonalizable is that the matrix should be symmetric.
but an orthogonal matrix is not necessarily symmetric so, the statement is false.
Answer:
c.
Step-by-step explanation:
a.
b.
c.
d.
You could also replace x for 8 in every equation and see if both sides give the same answer
The number with the largest exponent is the largest value overall. In this case, that would be 2.1 x 10^8 which is the largest value since 8 is the largest exponent.
Note: The number 4.5 x 10^6 is the number 4.5 million, while the number 2.1 x 10^8 is the number 210 million. The positive exponent means "move the decimal point that number of times to the right". So 4.5 x 10^6 means "move the decimal point 6 spots to the right" so you can convert to standard form. The larger the exponent, the more places the decimal point moves to the right.
