<h2>SOLVING</h2>
Find the point-slope equation of the line, with the info given
Formula used, 
| result
The lawn area of uniform width can be written as follows:
A = (40 + 2x) * (35 + 2x) - (40) * (35)
Where,
x: width of the lawn
Substituting the value of the area we have:
316 = (40 + 2x) * (35 + 2x) - (40) * (35)
Rewriting:
316 = 1400 + 80x + 70x + 4x ^ 2 - 1400
Rewriting we have:
4x ^ 2 + 150x - 316 = 0
Solving the polynomial we have:
x1 = - 79/2
x2 = 2
Taking the positive root we have that the grass width des:
x = 2 yards
Answer:
The width of the lawn that surrounds the garden is:
x = 2 yards
Ali's solution is incorrect.
Ali had to add both the terms and should get 10y answer, and not multiply both terms and get answer 9y^2 which is wrong.
Step-by-step explanation:
Ali simplifies the expression 9y+y to 9y2. We need to identify if Ali's solution is correct or incorrect.
Ali's solution is incorrect.
Reason:
We are given the expression: 9y+y
When we add two like terms ( terms having the same variable and exponent), we add the coefficients of both like terms.
In our case 9y+y = 10y
Whereas Ali has done multiplication of both terms and not addition.
In multiplication we add the exponents of the same variables i.e 9y+y = 9y^2
So, Ali had to add both the terms and should get 10y answer, and not multiply both terms and get answer 9y^2 which is wrong.
Keywords: Solving expressions
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