Answer:
424 ft and 3 inches
Step-by-step explanation:
To calculate the diagonal of a square, multiply the length of the side by the square root of 2 --> d = a√2
a² + a² = diagonal²
diagonal = √(a² + a²) = √(2 x a²) which simplifies to diagonal = a√2
If area is given --> d = √(2*area)
Knowing square perimeter --> d = (perimeter/4)*√2
Answer:
- Lena's Method: 280
- Jackson's Method: 280
Step-by-step explanation:
Lena's Method:
- 8 + 12 = 20
- Plug 20 in: 14(20)
- 14(20) = 14 × 20 = 280
Jackson's Method:
- 14 × 8 = 112
- 14 × 12 = 168
- Re-write the expression: 112 + 168
- 112 + 168 = 280
I hope this helps!
~ Simplifying
-4x + -4 = -7(x + 4)
~ Reorder the terms:
-4 + -4x = -7(x + 4)
~ Reorder the terms:
-4 + -4x = -7(4 + x)
-4 + -4x = (4 * -7 + x * -7)
-4 + -4x = (-28 + -7x)
~ Solving
-4 + -4x = -28 + -7x
~ Solving for variable 'x'.
~ Move all terms containing x to the left, all other terms to the right.
~ Add '7x' to each side of the equation.
-4 + -4x + 7x = -28 + -7x + 7x
~ Combine like terms: -4x + 7x = 3x
-4 + 3x = -28 + -7x + 7x
~ Combine like terms: -7x + 7x = 0
-4 + 3x = -28 + 0
-4 + 3x = -28
~ Add '4' to each side of the equation.
-4 + 4 + 3x = -28 + 4
~ Combine like terms: -4 + 4 = 0
0 + 3x = -28 + 4
3x = -28 + 4
~ Combine like terms: -28 + 4 = -24
3x = -24
~ Divide each side by '3'.
x = -8
~ Simplifying
x = -8
9514 1404 393
Answer:
x = 1, x = 7
Step-by-step explanation:
You can see from the graph that the x-intercepts of f(x) are ...
0 = f(-3)
0 = f(3)
To find the corresponding values of x for f(x-4), we can solve ...
0 = f(x -4)
x -4 = -3 ⇒ x = 1
x -4 = 3 ⇒ x = 7
The x-intercepts of the function after translation 4 units right are ...
x = 1, x = 7
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Your sketch will be the same curve moved 4 units to the right. (Add 4 to every x-value shown.)
