Answer:
B. 10
C. All real numbers.
Step-by-step explanation:
6 (2x-4) = 8(x + 2)
Distribute the numbers outside of the factors:
12x - 24 = 8x + 16
Subtract both sides by '8x'
12x - 8x - 24 = 8x - 8x + 16
4x - 24 = 16
Add '24' to both sides:
4x = 40
Divide both sides by 4:
x = 10. Therefore, <u>B. 10</u> is the correct answer.
3(4p - 2) = -6(1 - 2p)
Distribute the numbers similarly to the example before:
12p - 6 = -6 + 12p
Subtract '12p' from both sides:
12p - 12p -6 = -6 + 12p - 12p
0 -6 = -6
Add '6' to both sides:
0 - 6 + 6 = -6 + 6
0 = 0
Therefore, the solution consists of <u>all real numbers.</u>
<em>Options:</em>
<em>Rotation of 180° about point B
</em>
<em>Rotation of 90° about point b
</em>
<em>Reflection over the x-axis
</em>
<em>Translation down 2 units</em>
<em></em>
Answer:
Rotation of 180° about point B
<em></em>
Step-by-step explanation:
Considering coordinates of point B
Assume the coordinates of the line at point B is (x,y)
i.e. 
First, we need to determine the slope at point B
Taking coordinates about the origin.
The slope of B is:
Where
--- origin
becomes
Taking the options one after the other:
Option A.
When rotated by 180°, the resulting coordinates of B would be
Taking the slope of B'
The slope of B is:
Where
--- origin
becomes
Notice that the slope of B and B' is the same;
<em>Hence:</em>
<em>Rotation of 180° about point B answers the question</em>
<em></em>
<em>There's no need to check for other options</em>
Answer:
C.
uniform commercial code
Step-by-step explanation:
The uniform commercial code law are set of laws regulating the sale of properties and all business transactions such as loans, selling goods, leasing equipment and so on. The uniform commercial code law is a state law which controls all commercial transactions in the US. It was first published in 1952 and is adopted by all the 50 states in the US thereby making all commercial transactions easy.
(x^4 - 7x³ + 16x²) - (7x² - 2x^4)
x^4 + 2x^4 - 7x³ + 16x² - 7x²
3x^4 - 7x³ + 9x²
Answer:
x = 3.18/2
Step-by-step explanation:
x - (-2/3) = 1.06
x + 2/3 = 1.06
3/2 * 2/3 + x = 1.06 * 3/2
x = 3.18/2
