<h3>Answer:</h3>
Length: 12 yd
Width: 5.5 yd
<h3>Explanation:</h3>
Let x represent the width of the rectangle in yards. Then 2x+1 can represent the length (double the width plus 1 yard). The area is the product of length and width so we have the relation ...
... x(2x+1) = 66
... 2x² +x -66 = 0
This can be solved using any of several methods. One of them is to factor the equation. To do that, we can look for factors of 2·66 = 132 that differ by 1. Since 132 = 11·12, those are the numbers we're looking for. Then ...
... 2x² +12x -11x -66 = 0 . . . . use our found numbers to rewrite the x term
... 2x(x +6) -11(x +6) = 0 . . . . .factor by grouping
... (2x -11)(x +6) = 0
... x = 11/2 or -6 . . . . . values that make the factors zero. Only the positive value is a useful solution.
... The width of the rectangle is 5.5 yards. Its length is 2·5.5+1 = 12 yards,
Answer:14
Step-by-step explanation:
Probability that you have chosen 2 red marbles is 3/11
<h2>How to solve?</h2>
Total number of marbles = 6 + 5 = 11
Number of red marbles = 6
Number of blue marbles = 5
Important Points:
1. Replacement is not allowed
2. Blue is followed by Red
Probability has been introduced in Maths to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen.
Probability of Blue first = 5/11
Probability of Red second = 6/10 (one marble is already taken out)
Probability = 5/11 * 6/10 = 3/11
Learn more about Probability:
brainly.com/question/4313883
#SPJ4
Answer:
(4x-3)(x+1)
Step-by-step explanation:
The perimeter of a triangle is the sum of its side lengths.
The perimeter of the triangle is: 
<u>The sides of the triangle are:</u>
Side 1 = (8d - 3) cm
Side 2 = (6d + 2) cm
Side 3 = (7f + 8) cm
The perimeter (P) is calculated as:
P = Side 1 + Side 2 + Side 3
So, we have:
Remove brackets
Collect like terms
Hence, the perimeter of the triangle is:
Read more about perimeters at:
brainly.com/question/6465134
