Answer:
14
Step-by-step explanation:
To get the answer, add the whole numbers together and then add the fractions together:
9 + 4 = 13
(You can even stop here because 14 is the closest to 13)
Now, add the fractions:
To add fractions you have to have a common denominator. To find the common denominator multiply 3 by 5, and 5 by 3. Like this:
Simplify:
Distribute everything from above
Add
So, the whole fraction will look like this 
. This is closest to 14.
Hope this helps!! Ask questions if you need!
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:
C
Step-by-step explanation:
when you translate coordinates to the right you subtract from the x-value
when reflecting over or about the x-axis all y values change signs
Answer:
a5 =243 x (1/3)^(5-1) = 243x 1/81 =3
Explanation
a(n) = a(1) x r^(n-1)
D: An angle that measures less than a right angle measures
