Answer:
B. Parallel
Step-by-step explanation:
Equation 1 simplified: y = 3x+7
Equation 2 simplified: y = -x/3-3
The slopes are completely different, ruling out the possibility of the lines being parallel.
But we also see the slopes of the equations are opposite and negative to each other. Making the lines perpendicular.
Use the distributive property:
5*b+5*2+b=20
5b+10+b=20.
Combine like terms:
6b+10=20.
Subtract 10 from both sides:
6b+10-10=20-10
6b=10.
Divide both sides by 6:
6b/6=10/6
b=5/3=1 2/3.
Brian travels 1 2/3 hours. This means Annie travels
5(1 2/3+2)=5(3 2/3)=5(11/3)=55/3=18 1/3 hours.
Hope this helps!
Answer: examples are floods, hurricanes, tornadoes, volcanic eruptions, earthquakes, tsunamis, storms, and other geologic processes.
Step-by-step explanation:
24 different ways can they line up to receive their championship rings.
What is a permutation mean in math?
- When the order of the arrangements matters, a mathematical technique called a permutation can be used to calculate the number of alternative arrangements in a collection.
- Common mathematics problems involve choosing only several items from a group of items in a specified sequence.
What are permutations used for?
- When an arrangement requires an order or a sequence, permutations are used.
- Combinations are employed when determining merely the number of potential groups is required and neither the order nor the sequence of arrangements is necessary.
Given,
No. of captains of the football team = 4
So,
4 ways we can line up their championship rings = (4,4)
4 ×3 ×2 ×1 = 24
Therefore, 24 different ways can they line up to receive their championship rings.
Learn more about permutation
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Answer:
y = 4x+3
m =4
b =3
Step-by-step explanation:
y=4x+3
This is already solved for y
This is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = 4x+3
m =4
b =3
