Answer: D. x=9√3; y=18
Step-by-step explanation:
This is a 30-60-90 special triangle, where we can use the rules to find the value of x and y. (For specific explanation, please look at the attachment below)
-----------------------------------------------------------------------------------------------------
<u>X value</u>
- The shortest side of the triangle that corresponds with [x] is 9 units. This is because it is half of the larger triangle's side length.
- Using the rules, the shortest side is x, then the second short side is x√3
- Substitute value in= x√3=(9)√3=9√3
Y value
- The shortest side of the triangle that corresponds with [x] is 9 units. This is because it is half of the larger triangle's side length.
- Using the rules, the shortest side is x, then the longest side is 2x
- Substitute value in= 2x=2(9)=18
Hope this helps!! :)
Please let me know if you have any questions
Answer:
B. equivalent
Step-by-step explanation:
Our two equations are:
Let's use substitution and plug in the expression for y in the second equation. That way, we're getting rid of a variable so we can solve for the other:
This means that there are an infinite number of solutions possible for this system - any x value will work. So, the answer is equivalent, because these two equations are essentially the same.
The vertex form of y = 2x² - 12x + 25 is y = 2(x - 3)² + 7
Step-by-step explanation:
The vertex form of a quadratic function is y = a(x - h)² + k, where
∵ y = 2x² - 12x + 25
∵ y = ax² + bx + c
∴ a = 2 , b = -12 , c = 25
∵
∴
∴
∴ h = 3
∵ k = f(h)
∴ k = f(3)
∵ y = 2x² - 12x + 25
- Substitute x by 3 to find k
∴ k = 2(3)² - 12(3) + 25
∴ k = 18 - 36 + 25
∴ k = 7
∵ The vertex form is y = a(x - h)² + k
∵ a = 2 , h = 3 , k = 7
∴ y = 2(x - 3)² + 7
The vertex form of y = 2x² - 12x + 25 is y = 2(x - 3)² + 7
Learn more:
You can learn more about the quadratic function in brainly.com/question/9390381
#LearnwithBrainly