The equation of the new path would be y=1/3x+4.
Explanation
If two lines are perpendicular, their slopes are negative reciprocals of each other. The original equation is written in slope-intercept form, y=mx+b, where m is the slope. In this equation, m=-3=-3/1.
In the new equation, the slope would be the opposite sign and flipped; this means it would be 1/3.
We can use the point given, the slope and slope-intercept form to write the equation of the new line:
y=mx+b
3=1/3(-3)+b
3=1/3(-3/1)+b
3=(-3/3)+b
3=-1+b
Add 1 to both sides:
3+1=-1+b+1
4=b
This makes the equation y=1/3x+4.
The 2 sides of the right triangle is 25 and 24.
Any multiple of a Pythagorean triple is also considered a Pythagorean triple. Multiplying 3, 4, 5 by 2 gives 6, 8, 10, which is another triple. To see if a set of numbers makes a Pythagorean triple, plug them into the Pythagorean Theorem.
3,4,5 5,12,13 7,24,25 8,15,17 9,12,15
Final Result: 25,24
Let's start with what we know:
Mary needs at least $50 to pay back her parents
Currently, she has $10, $12, and $25 in her possession. Let's add those values together and see if they equal $50 or more:
10 + 12 + 25
22 + 25 = $47
Since she only has $47, she needs $3 more to pay back her parents.
2g 1b because there's 2 girls and 1 boy
Answer: 1 hour is equal to 46 miles 2 hours is 92 miles and 20 hours is 920 miles
Step-by-step explanation:
92/2 = 46 miles
46 x 2 = 92 miles
46 x 20 = 920
