Answer:
1) 2 hours
2) 96 miles
Step-by-step explanation:
1) Eliot and William went hiking. They went at the same speed. Let x mph be their speed.
<u>Elliot:</u>
Distance = 8 miles
Speed = x mph
Time 
hours
<u>William:</u>
Distance = 12 miles
Speed = x mph
Time 
hours
It took Eliot 
less than William, then
![\dfrac{8}{x}+\dfrac{2}{3}=\dfrac{12}{x}\\ \\\dfrac{2}{3}=\dfrac{12}{x}-\dfrac{8}{x}\\ \\\dfrac{2}{3}=\dfrac{4}{x}\\ \\2x=3\cdot 4\ \ [\text{Cross multiply}]\\ \\2x=12\\ \\x=6\ mph](https://tex.z-dn.net/?f=%5Cdfrac%7B8%7D%7Bx%7D%2B%5Cdfrac%7B2%7D%7B3%7D%3D%5Cdfrac%7B12%7D%7Bx%7D%5C%5C%20%5C%5C%5Cdfrac%7B2%7D%7B3%7D%3D%5Cdfrac%7B12%7D%7Bx%7D-%5Cdfrac%7B8%7D%7Bx%7D%5C%5C%20%5C%5C%5Cdfrac%7B2%7D%7B3%7D%3D%5Cdfrac%7B4%7D%7Bx%7D%5C%5C%20%5C%5C2x%3D3%5Ccdot%204%5C%20%5C%20%5B%5Ctext%7BCross%20multiply%7D%5D%5C%5C%20%5C%5C2x%3D12%5C%5C%20%5C%5Cx%3D6%5C%20mph)
So, William's hike was
hours long.
2) <u>Initially:</u>
Distance = 120 miles
Speed = 55 mph
Time 
hours
<u>Final:</u>
Speed = 44 mph
Time 
hours
Distance 
Hello!
We have to use a certain formula to find the area of a parallelogram. The formula is:
A = bh
Since we already have the area and the base of the parallelogram, we will be able to find the height!
Notice how we multiply the base by the height to find the area? Well, we'll have to do the opposite to find one of its dimensions.
What's the opposite of multiplication? Division!
Formula for base:
B = A ÷ h
Substitute:
B = 60 ÷ 5
B = 12
ANSWER:
The base is 12 feet long.
Good Day!
Answer:
Step-by-step explanation:
y= x - 2
the graph would be parallel to y=x and every point would be shifted down 2 units
If you took any point on y = x and represented it as (x,y) then the new point would be (x,y - 2)
Answer:
Step-by-step explanation:
One solution: when two lines intersect in exactly one point.
Infinitely many solutions: When one of two lines can be shown algebraically to be exactly the same as the other. The two lines coincide.
No solution: The two lines have the same slope but different y -intercepts. They can't and don't intersect.
