Answer:
60 square foot
Step-by-step explanation:
Perimeter of a rectangular garden = 58 foot
Let x and y denote length and width of the rectangular garden.
2 (Length + Width) = Perimeter of the rectangular garden

So,
length = x
width = y = 
The length is reduced by 7 feet and the width becomes half.
New length = 
New width = 
New perimeter = 34 foot
![2[(x-7)+\frac{1}{2}(29-x)]=34\\ 2[2(x-7)+(29-x)]=2(34)\\2(x-7)+(29-x)=34\\2x-14+29-x=34\\2x-x-14+29=34\\x+15=34\\x=34-15\\x=19](https://tex.z-dn.net/?f=2%5B%28x-7%29%2B%5Cfrac%7B1%7D%7B2%7D%2829-x%29%5D%3D34%5C%5C%202%5B2%28x-7%29%2B%2829-x%29%5D%3D2%2834%29%5C%5C2%28x-7%29%2B%2829-x%29%3D34%5C%5C2x-14%2B29-x%3D34%5C%5C2x-x-14%2B29%3D34%5C%5Cx%2B15%3D34%5C%5Cx%3D34-15%5C%5Cx%3D19)
So,
New length 
New width = 
Area of the new smaller garden = New length × New Width
= 12 × 5
= 60 square foot
Answer:
y = 0
Step-by-step explanation:
subsitute x = -3 into y = x^2 - 7x + 12
y = -3^2 - 7 x -3 + 12
= 9 - 21 + 12
= 0
Answer:

Step-by-step explanation:
Given the system of equations:

You can pply Substitution method:
First you must solve for "y" from the first equation:

Therefore, the second and final step to solve the system of equations is to substitute the value of "y" into the second equation and solve for "x":

Answer:

Step-by-step explanation:
I assume that it is a composed figure formed by a triangle and a square.Since you did not give the dimensions of the triangle and the dimensions of the square, I will giveyou a general explanation about how to solve this exercise.
The area of the shape will be the sum of the the area of the square and the area of the triangle.
Then, you need to remember that the area of a triangle can be calculated with the following formula:

Where "b" is the base and "h" is the height.
And the area of a square can be found with this formula:

Where "s" is the length of any side of the square.
Therefore, the area of the shape will be

Answer:
Acute
Step-by-step explanation:
7² + 9² ? 11²
49 + 81 ? 121
130 is greater than 121, so it is an acute triangle