A quadratic in vertex form reads as
(<em>x</em> - <em>a</em>)² + <em>b</em>
where (<em>a</em>, <em>b</em>) is the vertex.
To get the given quadratic in this form, complete the square:
<em>x</em>² - 6<em>x</em> - 40 = <em>x</em>² - 6<em>x</em> + 9 - 49 = (<em>x</em> - 3)² - 49
Or, work backwards by expanding the vertex form and solving for <em>a</em> and <em>b</em> :
(<em>x</em> - <em>a</em>)² + <em>b</em> = <em>x</em>² - 2<em>ax</em> + <em>a</em>² + <em>b</em>
So if
<em>x</em>² - 6<em>x</em> - 40 = <em>x</em>² - 2<em>ax</em> + <em>a</em>² + <em>b</em>,
then
-2<em>a</em> = -6 → <em>a</em> = 3
<em>a</em>² + <em>b</em> = -40 → <em>b</em> = -49
Answer:
The answer is 1
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
The formula for volume is: length*width*height
so, 9*10*9 will give yo your answer
Answer:
21, 27, 33, 39 and so on....
Answer:
2*sqrt(x + 8)
Step-by-step explanation:
You could use the distributive property to answer your question
[sqrt(x + 8) + sqrt(x + 8)]
=sqrt(x + 8) [1 + 1]
=2*sqrt(x + 8)
