Answer:
Side length: z + 4
Perimeter: 64
Step-by-step explanation:
Hello!
Since the area of a square is the square of the sde length,
using the special binomial product formula: (a+b)² = a² + 2ab + b²:
The side length of the square is (z+4)².
The perimeter is 4(z + 4), where z is 12:
The side length is z + 4, the perimeter is 64
If you dived three hundred by twenty four you get twelve point five. than multiply 18 and than you get 225
Answer:
x=-1
Step-by-step explanation:
x+3
------- = 3 + 1/x
x+2
Get a common denominator on the right
3*x/x + 1/x
3x/x + 1/x = (3x+1)/x
x+3 3x+1
------- = ---------
x+2 x
We can use cross products to solve
(x+3) *x = (3x+1) * (x+2)
x^2+3x = 3x*x +x + 3x*2 +2
Simplifying
x^2 + 3x = 3x^2 +7x+2
Subtract x^2 from each side
x^2 -x^2 + 3x = 3x^2-x^2 +7x+2
3x = 2x^2 +7x+2
Subtract 3x from each side
3x-3x = 2x^2 +7x -3x+2
0 = 2x^2 +4x +2
Divide by 2
0 = x^2 +2x +1
Factor
0 = (x+1) (x+1)
Using the zero product property
x+1 =0
x=-1
Answer:
option B is correct, i.e. (f+g)(x) = x² + 3x - 5.
Step-by-step explanation:
Given f(x) = 3x + 1.
Given g(x) = x² - 6.
To find (f+g)(x).
The rule of Arithmetic of functions is:- (f+g)(x) = f(x) + g(x).
(f+g)(x) = (3x+1) + (x²-6).
(f+g)(x) = x² + 3x + 1 - 6.
(f+g)(x) = x² + 3x - 5.
Hence, option B is correct, i.e. (f+g)(x) = x² + 3x - 5.
Use the Pythagorean Theorem to find the length of the side marked "x."
x^2 + (10 mi)^2 = (13 mi)^2. Thus, x^2 + 100 mi^2 = 169 mi^2.
Next, x^2= (169-100) mi^2, or x^2 = 69 mi^2. Find the positive square root of both sides of this equation. What is it?
