Answer:
B
Step-by-step explanation:
Matrices are equal when they are of the same order and their corresponding entries are equal.
This is the case for the given matrix and matrix B
Answer:
2
Step-by-step explanation:
Simplify the following:
(-6 - 4)/(-5)
Hint: | Group the negative terms in -6 - 4 together and factor out the minus sign.
-6 - 4 = -(6 + 4):
(-(6 + 4))/(-5)
Hint: | Evaluate 6 + 4.
6 + 4 = 10:
(-10)/(-5)
Hint: | In (-10)/(-5), the numbers 10 in the numerator and -5 in the denominator have gcd greater than one.
The gcd of 10 and -5 is 5, so (-10)/(-5) = (-(5×2))/(5 (-1)) = 5/5×(-2)/(-1) = (-2)/(-1):
(-2)/(-1)
Hint: | Cancel common terms in the numerator and denominator of (-2)/(-1).
(-2)/(-1) = (-1)/(-1)×2 = 2:
Answer: 2
That would be $2,070 because 3.5% of 2000 is 70
Answer:
B
Step-by-step explanation:
Givens
a^2 + b^2 = c^2
a = 4x
b = x + 2
c = 3x + 4
Solution
(4x)^2 + (x + 2)^2 = (3x + 4)^3 Remove all the brackets.
16x^2 + x^2 + 4x + 4 = 9x^2 + 24x + 16 Collect like terms on the left
17x^2 + 4x + 4 = 9x^2 + 24x + 16 Subtract the terms on the right
8x^2 - 20x - 12 = 0
This factors into
(4x - 12)(2x + 1)
There are 2 answers
4x - 12 = 0
4x = 12
x = 12/4
x = 3
or
2x + 1 = 0
2x = - 1
x = - 1/2
You have to look at x = -1/2 carefully. The problem is that 4x = 4*(-1/2) = - 2 which is not possible in Euclidean Geometry.
So the only answer is x = 3
Answer: Id personally say D
Step-by-step explanation:
