<h3>
Answer: 16 feet</h3>
Work Shown:
L = 6 = length
W = 2 = width
P = 2(L+W)
P = 2(6+2)
P = 2(8)
P = 16 feet of fencing is needed
An alternative formula is P = 2L+2W
<u>We are given:</u>
Time period: 3 days and 18 hours
Energy consumed in given time period: 5400 watt-hours
<u>Converting time to hours:</u>
We know that one day is 24 hours
So, 3 days = 72 hours
Time period = 3 days + 18 hours
Time period = 72 hours + 18 hours
Time period = 90 hours
Converting to days
Time period = 3.75 days
<u>Watt-hour consumption in a day:</u>
Consumption = 5400 watt-hours / 3.75 days
Consumption = 1440 watt-hours/day
Answer:
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: 
where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when the line crosses the y-axis)
Given that the slope is 3, we can plug this into y=mx+b as <em>m</em>:
Now, to solve for <em>b</em>, simply plug in the given point:
Therefore, the y-intercept is 5. Plug this back into the equation:
I hope this helps!
The equations of the parabolas whose focus and vertex lie in different quadrants will be:
- x = -y²/16 - y/4 + 11/4 and
- y = -x²/24 - 5x/12 + 95/24.
<h3>How to analyze the equations?</h3>
In the third equation, x = -y²/16 - y/4 + 11/4. The value of a = -1/16, b = -1/4, c = 11/4, and k = 3.
Also, in the sixth equation, y = -x²/24 - 5x/12 + 95/24. The value of a = -1/24, b = -5/12, c = 95/24, h = -5.
Therefore, the equations will be the third and sixth equations.
Learn more about parabola on:
brainly.com/question/16166647
#SPJ4
Answer:
The solution of the system is the point (-5,4)
Step-by-step explanation:
<u><em>The question is</em></u>
Solve the system of equations
we have
-----> equation A
----> equation B
Solve the system by elimination
Multiply by 5 both sides equation B
----> equation C
Adds equation A and equation C
<em>Find the value of y</em>
substitute the value of x in any equation
therefore
The solution of the system is the point (-5,4)
