Answer:
Step-by-step explanation:
Ok, so i cant really awnser all the questions on that page but a very important thing to know is that it is proportinal if the layout is y=mx. the m is usually replaced with something else though. So for that first question, its proportianal. Try your best to turn those story problems into equations and then see if it matches the y = mx equation if not, its not
Answer:
where is the picture
Step-by-step explanation:
where is the picture
Answer:
100,000,000 + 20,000,000 + 5,000,000 + 700,000 + 40,000 + 600 + 80 + 9
One hundred twenty five million, seven hundred forty thousand six hundred eighty nine
Step-by-step explanation:
Answer:
tan (48°19'23'') => 1.1232
Step-by-step explanation:
60' minutes are present in a degree, and 60 * 60' seconds are present in a degree;
48°19'23'' = 48 + 19/60 + 23/3600
= 
= 
= 
= 48.323°
tan(48.323°) = 1.1232
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
