To complete the square, you can add (and subtract) the square of half the x coefficient.
... y = x² -10x + 30
... y = (x² -10x +25) + (30 -25)
... y = (x -5)² +5
Hi there!
For a 3,4,5 triangle the smallest angle measure would be 45 degrees.
Hope this helps !
Answer:
10 1/4
Step-by-step explanation:
Carls age = 12 5/6 - 1 1/3
12 5/6 - 1 1/3
11 (5 - 2) / 6 = 11 3/6
Jane's age = carl's age - 1 1/4
11 3/6 - 1 1/4
10 (12 - 6) / 24 = 10 6/24 = 10 1/4
Answer:
give me brainliest
Step-by-step explanation:
37/2 = 18.50000
Answer:
3.6 hours
Step-by-step explanation:
To solve, create a Rate, Time, Work chart:
Work is rate times time. For Kevin, his work is going to equal x over 6 job. For Anna, her expression for work will equal x over 9 job.
The work is 1 job of calling all clients, so their combined work is equal to 1.
x over 6 plus x over 9 equals 1
In the rational equation, x is the amount of time it takes Kevin and Anna to call the clients together. With rational equations, the terms can be added together once they have common denominators.
x over 6 plus x over 9 equals 1
fraction numerator begin display style x left parenthesis 9 right parenthesis end style over denominator begin display style 6 left parenthesis 9 right parenthesis end style end fraction plus fraction numerator begin display style x left parenthesis 6 right parenthesis end style over denominator begin display style 9 left parenthesis 6 right parenthesis end style end fraction equals fraction numerator begin display style 1 left parenthesis 6 right parenthesis left parenthesis 9 right parenthesis end style over denominator left parenthesis 6 right parenthesis left parenthesis 9 right parenthesis end fraction
fraction numerator 9 x over denominator 54 end fraction plus fraction numerator 6 x over denominator 54 end fraction equals 54 over 54
9 x plus 6 x equals 54
15 x equals 54
x equals 3.6
If Kevin and Anna work together, they can call all the clients in 3.6 hours.
