Answer:
The ratio of cups of sugar to gallons of lemonade is 3 cups to 1 gallon. How many cups of sugar are needed to make 5 gallons of lemonade?
Step-by-step explanation:
Using the formula given: d = <span>√(3h/2)
We simply substitute the given values of h into the equation and compare the results.
For Wyatt where h = 120:
d = </span>√(3(120)/2)<span>
d = 13.42 miles
</span><span>For Shawn where h = 270:
d = </span>√(3(270)/2)<span>
d = 20.12 miles
</span>
Since the question asks for how much farther can Shawn see, we subtract the results:
20.12 - 13.42 = 6.7
Therefore, Shawn can see 6.7 miles farther.
Answer:
The graph in the attached figure
Step-by-step explanation:
we know that
In a reflection across the y-axis the y-coordinate remains the same, but the x-coordinate is transformed into its opposite
we have
The reflection of f(x) across the y-axis is equal to the function g(x)

The graph in the attached figure
Width = w
Length = 3w - 6
Area = 360
Equation Area = wl
w (3w-6) = 360
3w^2- 6w = 360
3w^2 - 6w - 360 = 0
3 (w^2 - 2w - 120)=0
3(w + 10)(w - 12) = 0
w = -10 & 12
l = 3w-6 = 3 (-10)-6= -30 - 6= -36
l = 3w-6 = 3(12) - 6 = 36-6 = 30
Answer: -10 and 12. Yet, since this is a measurement, it must be positive so 12 ft
Answer:
- Yes, diagonals bisect each other
Step-by-step explanation:
<em>See attached</em>
Plot the points on the coordinate plane
Visually, it is seen that the diagonals bisect each other.
We can prove this by calculating midpoints of AC and BD
<u>Midpoint of AC has coordinates of:</u>
- x = (1 - 1)/2 = 0
- y = (4 - 4)/2 = 0
<u>Midpoint of BD has coordinates of:</u>
- x = (4 - 4)/2 = 0
- y = (-1 + 1)/2 = 0
As per calculations the origin is the bisector of the diagonals.