Answer:
x = -1 ± √109
Step-by-step explanation:
2x • 3x + (2 • 3)x + 6x = 648
According to PEMDAS (parentheses/exponents | multiplication/division | addition/subtraction), we should solve the parentheses first.
(2 • 3) = 6
Now we have:
2x • 3x + (6)x + 6x = 648
Now let's multiply.
2x • 3x = 6x²
6 • x = 6x
Now we have.
6x² + 6x + 6x = 648
Combine like terms.
6x² + 12x = 648
Let's factor out a 6.
6(x² + 2x) = 648
Divide both sides by 6.
x² + 2x = 108
Let's use completing the square.
Our equation is in a² + bx = c form.
Divide b by 2.
2/2 = 1
Then square it.
1² = 1
Add 1 to both sides.
x² + 2x + 1 = 108 + 1
Simplify.
x² + 2x + 1 = 109
Now we want to factor the left side. A shortcut is just to use b/2.
(x + 1)² = 109
Take the square root of both sides.
x + 1 = ±√109
The square root is as simplified as possible.
Subtract 1 from both sides.
x = -1 ± √109
Hope this helps!
Answer:
the second one dose I believe
Answer:
Step-by-step explanation:
To solve this inequality, we have to find x (or make x the subject of the inequality:
since ⁻ˣ/₃ ≤ 6 [multiply both sides by 3]
- x ≤ 18 [multiply both sides by -1; this flips the inequality sign]
<h3> x ≥ - 18 [this is the solution]</h3><h3 />
To graph the inequality, draw the line x = - 18 with a solid line, and then shade the region that is x > -18.
We use a solid line because the point x = -18 is included. However, hypothetically, if the inequality was x > -18 only, a broken line would be used to show that the line x = -18 is not included.
Answer:
the cercumference is 144.513
Step-by-step explanation:
20 * 4 = 80 = perimeter of the square 24*2 = 48, the length of two sides of the rectangle. Deducting from 80 we are left with 32 and dividing by 2 we know the rectangle is 24 x 16 Area = L * W, so you can calculate the area of the rectangle.
384
