Hello from MrBillDoesMath!
Answer:
l = 12 feet, w = 5.5
Discussion:
Let w be the width of the pen and "l" the length. From the problem statement
l = w + 6.5 and the perimeter, P, of the fence -= 35.
Now the perimeter of the rectangle is given by the formula
P = 2l + 2w.
In our case, P = 35 and l = w + 6.5 so the equation becomes:
35 = 2(w+6.5) + 2w =>
35 = 2w + 13 + 2w =>
35 = 4w + 13 => (subtract 13 from both sides)
35-13 = 4w =>
22 = 4w =>
w = 22/4 = 5.5 feet
As, l = w + 6.5, l = 5.5 + 6.5 = 12 feet
Thank you,
MrB
The given pair of lines are not perpendicular.
<h3>What is a line?</h3>
The line is a curve showing the shortest distance between 2 points.
5x - 5y = -2 - - - - - (1)
Transform the equation into standard form,
5x + 2 = 5y
y = 5x /5 + 2/5
y = x + 2/5
The slope of equation 1 is
and intercept c = 2 / 5
Similarly
x + 2y = 4 - - - - - - - -(2)
Transform it into standard form
y = -x/2 + 4 /2
y = -x / 2 + 2
Slope of the equation 2
= -1 / 2 and intercept c = 2
Slope of line 1 * slope of line 2 = 1 * -1/2 = -1/2
Since the lines are not perpendicular because the pair of lines does not satisfy the property of perpendicular lines i.e

Thus, the given pair of lines are not perpendicular.
Learn more about lines here:
brainly.com/question/2696693
#SPJ1
Answer:
D) 3/15
Step-by-step explanation:
(-2/5) - (-9/15) = (-6/15) - (-9/15) = (-6/15) + (9/15) = 3/15
Answer:
4
Step-by-step explanation:
8% is also 8/100. This would be true for all percents 0 to 100%. If it were 42% it can be written as 42/100.
So, 8% is 8/100. If you want to find 8/100 of 50 multiply them.
8/100 * 50/1 = (8*50) /100
400/100 = 4
Answer: 3j-6k+4
Step-by-step explanation:
First you have to distribute the 3 to the j and the -2k since they are both in the parentheses. So it would look like (3*j) +(-2k*3)+4 and if you simplify that it is 3j-2k+4. After that there are no like terms so that is your answer.