Answer:
60 inches
Step-by-step explanation:
The perimeter will be minimized when the tiles are rearranged to form a rectangle with dimensions as close to each other as possible.
<h3>Rectangle dimensions</h3>
The square has a side length of ...
P = 4s ⇒ s = P/4 . . . . . P is perimeter, s is side length
(60 in)/4 = 15 in . . . . length of the side of the square
The square has an area of ...
A = s²
A = (15 in)² = 225 in²
When 1 tile is removed, the resulting area, in square inches, is ...
A = 225 -1 = 15² -1² = (15 -1)(15 +1) = 14×16
<h3>Perimeter</h3>
The perimeter of a rectangle is given by ...
P = 2(L+W)
For this rectangle, the perimeter is ...
P = 2(14 in + 16 in) = 2(30 in) = 60 in
The perimeter of the rectangle is 60 inches.
Answer:
(x − 2 + 2i)(x − 2 − 2i) in standard form
<h2><u><em>
x2−4x+8</em></u></h2>
Answer:
(-1, 1)
Step-by-step explanation:
Hi there!
We want to solve the system of equations given as:
2x-3y=-5
3x+y=-2
Let's solve this equation by substitution, where we will set one variable equal to an expression containing the other variable, substitute the expression as the variable that it equals, solve for the other variable (the variable that the expression contains), and then use the value of the solved variable to find the value of the first variable
In the second equation, we have y by itself; therefore, if we subtract 3x from both sides, then we will get an expression that y is equal to.
So subtract 3x from both sides
y=-3x-2
Now substitute -3x-2 as y in the first equation.
It will look something like this:
2x - 3(-3x-2)=-5
Now do the distributive property.
2x+9x+6=-5
Combine like terms
11x+6=-5
Subtract 6 from both sides
11x=-11
Divide both sides by 11
x=-1
Now substitute -1 as x in the equation y=-3x-2 to solve for y:
y=-3(-1)-2
multiply
y=3-2
Subtract
y=1
The answer is x=-1, y=1; this can also be written as an ordered pair, which would be (-1, 1)
Hope this helps!
If you would like to see another problem for additional practice, take a look here: brainly.com/question/19212538
Answer:
I won't give you the answer straight away so you take the time to read my answer and understand
Step-by-step explanation:
We knoe that 2 to the third is 8. when you square to a negative power, you do squaring normally, and then take the reciprocal of that number. so 8 to the second power is 64, and we flip it over, sp the answer is 1/64
