Answer:
36.5 inches
Step-by-step explanation:
Given
See attachment for the given data
Required
Which length is closest to 4.2lb
The given data is a linear dataset.
So, we start by calculating the slope (m)

Pick any two corresponding points from the table
So, we have:


So:




The linear equation is then calculated using:

This gives:

Open bracket


To get the length closest to 4.2lb,
we set 
Then solve for x
So, we have:


Collect like terms


Solve for x


A: l x w = a formula for area
l = w + 48 length
w(w+48) = 3024 substitute l with w+48
w^2 + 48w -3024=0 —solution to part A
B: w^2 + 48w - 3024 = 0 factor
(w-36)(w+84) = 0
Solutions for width = 36,-84
A width can’t be negative, so the width is 36 inches
make the denominators the same so you cancompare
I believe the correct answer from the choices listed above is option B. <span>The discriminant of a quadratic equation is negative. One solution is 3+4i . The other would be 3-4i. Hope this answers the question. Have a nice day.</span>
Answer:
it‘s about
32.08 ft (if its not an answer choice try 32 or anywhere near that number)
Step-by-step explanation:
SO this is a simple example of triangles
We would need to find the heigh of the flagpole which is the leg of the triangle
The other side (14ft) is the 2nd leg of the triangle
And we know the hypotenuse is 35 ft
So we put that in Pythagorean Theroux and solve for the first missing leg
a^2+14^2=35^2
a^2+196=1225
a^2=1029
√1029 is about 32.08
So its about 32.08