Parallel lines have the same slope.
so to find any line, you need a set of points, and a slope.
we already have the slope, being 3.
so, use the equation
y- (y-point)/ x-(x-point)=slope.
y-6. 3
---- = ---- (make it a fraction by puttingitover 1)
x-1. 1
cross multiply.
1(y-6)=3 (x-1)
y-6=3x-3
add 6 to both sides
Final answer: Y=3x+3
Answer:
Step-by-step explanation:
GH : √(8-4)^2 + (2-5)^2 = √16+9 = √25 = 5
HI : √(-6-2)^2 + (2-8)^2 = √64+36 = √100 = 10
IJ : √(-2-2)^2 + (-3+6)^2 = √16 + 9 = √25 = 5
JH : √(-2-4)^2 + (-3-5)^2 = √36 + 64 = √100 = 10
Slope of the line that contains GH
(2-5)/(8-4) = -3/4
Slope of the line that contains HI
(-6-2) / (2-8) = 8/6 = 4/3
I calculated the distance between points. Thanks to that I noticed that the opposite sides are congruent, so the quadrilateral can be a rectangle or a parallelogram. So I found the slope of the lines that contain two consecutive sides and I discovered that are perpendicular. So the quadrilateral is a rectangle because its angles are all of 90 degrees
You do not have enough money to pay your sister back and the amount left is $29
<h3>A. Do you have enough money to pay your sister back? </h3>
The given parameters are:
Amount borrowed = $130
Earnings = $12 per hour for 4 hours
Earnings = $12 per hour for 6 hours
Tip = $5
The total earnings is
Total = 12 * 4 + 12 * 4 + 5
Evaluate
Total = $101
101 is less than 130
Hence, you do not have enough money to pay your sister back
<h3>How much money left</h3>
The amount left is calculated as:
Amount left = $130 - $101
Evaluate
Amount left = $29
Hence, the amount left is $29
Read more about equations at:
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Answer:
X>-4
Step-by-step explanation: solve for X by simplifying both sides of the inequality then isolating the variable
