Answer:
Step-by-step explanation:
Given:
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1st problem:
Distribute:
Combine like terms:
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2nd problem:
Distribute -3 to first factor:
Use foil to simplify:
Replace 
with -1:
Combine like terms:
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3rd problem:
Distribute 2 to the second factor:
Use foil to simplify:
Replace with -1:
Combine like terms:
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4th problem:
Distribute:
Combine like terms:
Simplify:
A. Reflection over y = 2
B. Reflection over y axis, reflection over y = 1
C. I'm guessing you just have to draw this one, just put the center on (2,0) and enlarge it by the scale factor
To get the equation of the line, you need two points that belong to this line.
From the given graph, we can choose any two points: (0,-4) and (-2,0)
The general for of the linear straight line is:
y = mx + c where m is the slope and c is the y-intercept
First, we will calculate the slope using the following rule:
slope = (y2-y1) / (x2-x1)
slope (m) = (0--4) / (-2-0) = 4/-2 = -2
The equation of the line now is: y = -2x + c
Then, we will get the value of the c. To do so, we will choose any point and substitute in the equation. I will choose the point (0,-4)
y = -2x + c
-4 = -2(0) + c
c = -4
Based on the above calculations, the equation of the line is:
y = -2x - 4
Answer:
a=-8/5
Step-by-step explanation:
(-1/2a-5)=3a+1
To find the opposite of 1/2 a−5, find the opposite of each term.
-1/2a-(-5)= -3a+1
The opposite of −5 is 5.
-1/2a+5=-3a+1
add 3a to both sides
-1/2a+5+3a=1
Combine-1/2and 3a to get 5/2a
5/2a+5=1
Subtract 5 from both side
5/2a=1-5
Subtract 5 from 1 to get −4.
5/2a=-4
Multiply both sides by 2/5 =0.4, the reciprocal of 5/2=2.5.
a=-4x(2/5)
express -4x(2/5)=1.6 as single fraction.
a= -4x2/5
Multiply −4 and 2 to get −8.
a=-8/5
Fraction −8/5 ≈−1.6 can be rewritten as −8/5 =−1.6 by extracting the negative sign.
a=-8/5
