Hello!
We assign (5x + 24) to angle one and (9x - 7) to angle two. If these angles are congruent, then angle one is equal to angle two. To find the value of x, you need to create and equation as follows: 5x + 24 = 9x - 7 and find the value of x like a normal algebraic equation.
5x + 24 = 9x - 7 (subtract 5x from both sides)
24 = 4x - 7 (add 7 to both sides)
31 = 4x (divide 4 to both sides)
x = 31/4
Therefore, the value of x is equal to 31/4.
Hello There!
First w<span>rite down the first coefficient without changes as a table
Next you m</span><span>ultiply the left part of the table by the last entry.
The quotient is </span>
and the remainder would be 13.
Therefore
=
Answer is
Hope This Helps You!Good Luck :)
Answer:
-1
Step-by-step explanation:
Answer:
Adding 6 translates the graph up 6 units.
The leading coefficient, 3, stretches the graph vertically.
Red: 3x^3+6
Blue:x^3
When we multiply a function by a positive constant, we get a function whose graph is stretched or compressed vertically in relation to the graph of the original function. If the constant is greater than 1, we get a vertical stretch; if the constant is between 0 and 1, we get a vertical compression.
I hope this good enough:
Answer:
Step-by-step explanation:
The shaded area is the difference of areas of the rectangle and the square.
<u>Rectangle:</u>
- A₁ = (x + 10)(2x + 5) = 2x² + 5x + 20x + 50 = 2x² + 25x + 50
<u>Square:</u>
- A₂ = (x + 1)² = x² + 2x + 1
<u>Shaded region:</u>
- A₁ - A₂ =
- 2x² + 25x + 50 - (x² + 2x + 1) =
- 2x² + 25x + 50 - x² - 2x - 1 =
- x² + 23x + 49