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-2x + 5 < 7
-2x + 5 < 7
<u> -5 -5 </u> deduct 5 from both sides
-2x < 2
<u>÷ -2 ÷ -2 </u> divide both sides by negative 2. Because of the division
x > -1 using a negative number, the sign is then reversed.
from < it becomes >.
The value of x should be greater than -1. It can be 0, 1, 2, so on...
To check: Revert back to the original sign which is <.
x = 1
-2x + 5 < 7
-2(1) + 5 < 7
-2 + 5 < 7
3 < 7
Answer:
y = x - 5
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 = x - 3 ← is in slope- intercept form
with slope m = 1
• Parallel lines have equal slopes, hence
y = x + c ← is the partial equation of the parallel line.
To find c substitute (3, - 2) into the partial equation
- 2 = 3 + c ⇒ c = - 2 - 3 = - 5
y = x - 5 ← equation of parallel line
The area of a square is simply the side length squared and we are given that the area is 125 so:
s^2=125
s=√125
s=5√5
Now using the area equation again, and adding 1 inch to s we have:
A=(s+1)^2, and using s found above we have:
A=(5√5+1)^2
A=125+10√5+1
A=126+10√5 in^2
A≈148.36 in^2 (to nearest hundredth of a square inch)
