Answer: x=18
im assuming that this is a right angle
so if it is then that means the total of the angle should be 90 degrees. so 2x+3x should be equal to 90. Just combine like terms to get that 5x=90 and then isolate the variable (divide by 5 on both sides) so x ends up equaling 18.
so x=18
When competing the square, you want to have
at the end, and using the fact that the x term and coefficient are really
, we see that the third option is the most efficient way to start
Answer: X = -4
Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x = 2.55 (rounded)
x = 2. 5454545455 (exact)
Step-by-step explanation:
We can change this sentence, into a mathematical expression and solve:
5.5 · x = 14
x = 14 / 5.5
x = 2.5454545
x = 2.55 (rounded)
Hope this helps!!
<h3>Answer:</h3>
- Vertical scaling by a factor of 1/2
- Vertical translation 5 units downward
<h3>Explanation: </h3>
Multiplying a function value by a constant effectively applies a vertical scale factor to that function. The scale factor is the constant. Here, the parent function x² is multiplied by 1/2 (to give 1/2x²). The vertical scale factor is 1/2.
Adding a constant to a function value causes a vertical translation of that function. Every output value is moved upward (translated) by the amount that is added. Here, that added amount is -5, so the vertical movement is downward 5 units.
For f(x) = x², vertical scaling by a factor of 1/2 makes it 1/2x². Translating that downward 5 units makes it ...
... y = 1/2x² - 5 . . . . . . . . . x² scaled and translated
