Answer:
The width is 50 yards and the length is 141 yards.
Step-by-step explanation:
Let's call: L the length of the field and W the width of the field.
From the sentence, the perimeter of the rectangular playing field is 382 yards we can formulate the following equation:
2L + 2W = 382
Because the perimeter of a rectangle is the sum of two times the length with two times the width.
Then, from the sentence, the length of the field is 9 yards less than triple the width, we can formulate the following equation:
L = 3W - 9
So, replacing this last equation on the first one and solving for W, we get:
2L + 2W = 382
2(3W - 9) + 2W = 382
6W -18 +2W = 382
8W - 18 = 382
8W = 382 + 18
8W = 400
W = 400/8
W = 50
Replacing W by 50 on the following equation, we get:
L = 3W - 9
L = 3(50) - 9
L = 141
So, the width of the rectangular field is 50 yards and the length is 141 yards.
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Answer:
Step-by-step explanation:
Given the expression
Remove parentheses: (a)=a
Group like terms
Add similar elements
∵ 
Add similar elements
∵ 
Thus, the equivalent expression in simplified form:
Answer:
Equation
is in the standard dorm.
Step-by-step explanation:
Here, the x - intercept = 4 , so ( 4,0) is a point on the line.
and the y - intercept = 5, so ( 0,5) is a point on the line.
So, the slope of the equation is given as = 
Now, the SLOPE INTERCEPT FORM of an equation is :
y = mx + b: here m = slope and b = y- intercept
or, 
Now, standard form is Ax +By = C
So, the standard form is
Hence, the above equation
is in the standard dorm.
Answer:
Work shown below!
Step-by-step explanation:
(x + 4)(x - 3) = 
