Answer:
x = -2
Step-by-step explanation:
5x + 2(x - 4) = 5x + x - 10
First, we need to to multiply out the parathesis in the equation:
5x + 2(x - 4) = 5x + x - 10
5x + 2x - 8 = 5x + x - 10
Next, we can combine "like terms" to simplify the equation further:
5x + 2x - 8 = 5x + x - 10
7x - 8 = 6x - 10
Now we can isolate the variable "x" to one side:
7x - 8 = 6x - 10
x - 8 = -10
x = -2
To check our work, we can replace x with -2 in our original equation:
5x + 2(x - 4) = 5x + x - 10
5(-2) + 2 (-2 - 4) = 5(-2) + -2 - 10
-10 + 2 (-6) = -10 -2 - 10
-22 = -22
I hope this helps!
-TheBusinessMan
Answer:
FG is 18 units
Step-by-step explanation:
if the trapezoid is isosceles then DE = GF so we can create this equation:
4x + 2 = 5x - 2
4x = 5x - 4
-x = -4
x = 4
FG = 4(4)+2 which is 18
Answer:
use a hint it usally helps me
Step-by-step explanation:
Due to <em>length</em> restrictions, we kindly invite to check the explanation of this question to understand the derivation of the <em>polynomic</em> expressions.
<h3>How to determine a family of cubic functions</h3>
<em>Cubic</em> functions are polynomials of grade 3. In this case, we have pairs of <em>cubic</em> functions of the following form:
y = (x - h)³ + k (1)
y = - (x - h)³ + k (2)
a) Where (h, k) are the coordinates of the vertex of each <em>cubic</em> function. There is a translation of (x, y) = (3, 1) between each two <em>consecutive</em> pairs of <em>cubic</em> functions. Hence, we have the following fourteen cubic functions:
- y = (x + 9)³ - 3
- y = - (x + 9)³ - 3
- y = (x + 6)³ - 2
- y = - (x + 6)³ - 2
- y = (x + 3)³ - 1
- y = - (x + 3)³ - 1
- y = x³
- y = - x³
- y = (x - 3)³ + 1
- y = - (x - 3)³ + 1
- y = (x - 6)³ + 2
- y = - (x - 6)³ + 2
- y = (x - 9)³ + 3
- y = - (x - 9)³ + 3
b) Another family of functions with a similar pattern is shown below:
- y = (x + 9)² - 3
- y = - (x + 9)² - 3
- y = (x + 6)² - 2
- y = - (x + 6)² - 2
- y = (x + 3)² - 1
- y = - (x + 3)² - 1
- y = x²
- y = - x²
- y = (x - 3)² + 1
- y = - (x - 3)² + 1
- y = (x - 6)² + 2
- y = - (x - 6)² + 2
- y = (x - 9)² + 3
- y = - (x - 9)² + 3
To learn more on cubic functions: brainly.com/question/25732149
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