Answer:
A B
Additive Identity (x) x + 0 = x
Additive Inverse (x) b + (-b) = 0
Multiplicative Identity (x) x • 1 = x
Multiplicative Inverse (x) x • (1/x) = 1
4y - x = 5 + 2y ..... (1)
3x + 7y = 24 ..... (2)
by grouping like terms in (1)
4y - x = 5 + 2y
4y - 2y - x = 5
<span>-x + 2y = 5 </span> ..... (1a)
by multiplying (1a) through by -3
(-3)(-x) + 2(-3)y = 5(-3)
3x - 6y = -15 ..... (1b)
by subtracting 1a from 2
3x -3x + 7y - (-6y) = 24 - (-15)
13y = 39
⇒ y = 3
by substituting y=3 into (2)
3x + 7(3) = 24
3x = 24 - 21
3x = 3
⇒ x = 1
∴ solution to the system is x=1 when y = 3
Answer:
Step-by-step explanation:
• Suppose the angle is PQR where Q is the midpoint.
• Keep the compass at angle vertex Q and adjust some wide setting (the width is not important).
• Without changing the compass, draw an arc across each leg of the angle
• Now keep the compasses on the point drawn on each leg, and draw an arc in the interior of the angle.
• Using a ruler, draw a line through the vertex to the point where the arcs cross
Answer:
It has amplitude of 
.
It is a horizontal shift of the parent function 
units left.
Step-by-step explanation:
We have the function, 
.
It is clear that the parent function is 
.
So, we see that,
The amplitude of the function f(x) is , which gives, 
.
Also, g(x) is translated units to the left, which gives, 
.
Further, the function is translated 1 unit downward, resulting in .
So, the correct options are,
It has amplitude of .
It is a horizontal shift of the parent function units left.
