Answer:
Step-by-step explanation:
The formula for determining the area of a rectangle is expressed as
Area = length × width
Their backyard is rectangular, with a length of 3x – 5 feet and a width of 4x – 10 feet. This means that the area of the backyard is
(3x - 5)(4x - 10)
= 12x² - 30x - 20x + 15
= (12x² - 50x + 15) square feet
Their rectangular swimming pool, along with its surrounding patio, has dimensions of x + 8 by x – 2 feet. This means that the area occupied by the swimming pool and its surrounding patio is
(x + 8)(x - 2)
= x² - 2x + 8x - 16
= x² + 6x - 16
Assuming the swimming pool and its surrounding patio will not be covered with new grass, then the area of the region of the yard that they want to cover with new grass is
12x² - 50x + 15 - (x² + 6x - 16)
= 12x² - 50x + 15 - x² - 6x + 16
= 12x² - x² - 50x - 6x + 15 + 16
= 11x² - 56x + 31 square feet
Answer:
6 meters
Step-by-step explanation:
The sum of the lengths of any two sides of a triangle is always greater than the length of the third side. And this MUST be true for all the combinations
The only length where this is true is 6
3+5 is greater than 6
2+6 is greater than 5
5+6 is greater than 3
Answer:
x = 1, y = -2
Step-by-step explanation:
- 2x + 10y = -22 _______(1)
-2x - 4y = 6 _______(2)
From (1),
10y + 22 = 2x
x = (10y + 22) / 2
x = 5y + 11 .______(3)
Substitute (3) into (2),
-2 ( 5y + 11) -4y = 6
-10y - 22 - 4y = 6
-14y = 6 + 22
-14y = 28
y = 28/ -14
y =-2
Substitute y = -2 into (3).
x = 5y + 11
x = 5(-2) + 11
x = -10 + 11
x = 1
Therefore, the solution is x = 1, y = -2.
First, let's identify the like terms.
2 and 17
2n and 3n
Next, you would need to combine them. Ex: Add 2n to both sides, and subtract 17 from both sides.
2 - 2n = 3n + 17
2 = 5n + 17
-15 = 5n
Now, all you would need to do is isolate the n. To do this, you would divide both sides by 5.
-15 = 5n
-3 = n
n = -3
The solution would be -3.
I hope this helps!
Answer:
Step-by-step explanation:
Use FOIL: <em>(a + b)(c + d) = ac + ad + bc + bd</em>
