Answer:


Step-by-step explanation:
<u>Errors in Algebraic Operations
</u>
It's usual that students make mistakes when misunderstanding the application of algebra's basic rules. Here we have two of them
- When we change the signs of all the terms of a polynomial, the expression must be preceded by a negative sign
- When multiplying negative and positive quantities, if the number of negatives is odd, the result is negative. If the number of negatives is even, the result is positive.
- Not to confuse product of fractions with the sum of fractions. Rules are quite different
The first expression is

Let's arrange into format:

We can clearly see in all of the factors in the expression the signs were changed correctly, but the result should have been preceeded with a negative sign, because it makes 3 (odd number) negatives, resulting in a negative expression. The correct form is

Now for the second expression

Let's arrange into format

It's a clear mistake because it was asssumed a product of fractions instead of a SUM of fractions. If the result was correct, then the expression should have been

Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x - 1 ← is in slope- intercept form
with slope m = 3
Parallel lines have equal slopes, thus
y = 3x + c ← is the partial equation of the parallel line
To find c substitute (2, 2) into the partial equation
2 = 6 + c ⇒ c = 2 - 6 = - 4
y = 3x - 4 → B
Answer:

1 is a whole number, an integer, and rational.
Step-by-step explanation:
Answer:
48.1 m³ available, 2.5m³ not available
Step-by-step explanation:
Tan(X) = 4.5/(5.8+1.7)
Tan X = 3/5
Hypotenuse² = 3² + 5² = 34
Sin X = 3/sqrt(34)
X = 30.96
1/sinX = 1.7/SinY
Y = 61.003°
Third angle: 180 - X - Y = 88.037
Volume
= ½ × 1.7 × 1 × sin(88.038) × 3
= .
= 2.548
= 2.5m³
Available for storage:
½×4.5×7.5×3 - 2.548
= 48.077 = 48.1 m³