Answer:
Answer:
The width is 4 units, and the length is 10 units.
Step-by-step.
Step-by-step explanation:
area of rectangle = length * width
Let L = length; let W = width.
"The length is 6 units greater than the width.": L = W + 6
area = LW = 40
Since L = W + 6, we substitute L with W + 6.
(W + 6)W = 40
W^2 + 6W = 40
W^2 + 6W - 40 = 0
(W - 4)(W + 10) = 0
W - 4 = 0 or W + 10 = 0
W = 4 or W = -10
A width cannot be a negative number, so we discard the solution W = -10.
W = 4
L = W + 6 = 4 + 6 = 10
The width is 4 units, and the length is 10 units.
Bring it to the form ax + by = c, where a is positive, and there are no fractions in the equation.
Here, we need to add 2/5x to both sides:
2/5x + y = 0
Then multiply everything by 5 to get rid of the fraction
2x + 5y = 0 <==
Answer:
x=11
Step-by-step explanation:
4x+11=5x (angle adb and edf are the same)
11=5x-4x
11=x
x=11
if you want you can check by doing...
(14*11-29)+(5*11)=180
Answer:

Step-by-step explanation:
step 1
Find the slope of the line that is perpendicular to the given line
we have
-----> given line
The slope of the given line is

Remember that
If two lines are perpendicular, then their slopes are opposite reciprocal
therefore
The slope of the line that is perpendicular to the given line is

step 2
Find the equation of the line in slope intercept form

we have

substitute

solve for b

therefore

The Brady family received 1 letter on July 28.
Step-by-step explanation:
Step 1:
Assume a = the number of letters, b = the number of bills, c = the number of ads, and d = the number of magazines.
From the question, they got 15 pieces of mail that day so 
They got 5 more magazines than bills so 
The got the same number of letters as ads so 
They got 3 more bills than ads so 
Step 2:
As we have only one equation to solve the values, we need to make every term in terms of a single term.
We make everything in terms of c.
So 
Substituting all this in the equation, we get


Step 3:
Substituting c = 1 in other terms, we get


and

As a = 1, they received 1 letter that day.