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Oksana_A [137]
3 years ago
15

Is a triangle with the side lengths 15, 36, and 39 a right triangle?

Mathematics
1 answer:
Alex73 [517]3 years ago
8 0

Answer:

yes

Step-by-step explanation:

You might be interested in
Find the polynomial function
laiz [17]

Answer:

y = 2x³ +x² -3x +6

Step-by-step explanation:

The polynomial correlation function of a graphing calculator can work with the table of function values to give you the equation. (See attached)

_____

If you want to solve this by hand, you can write the equations for the unknown coefficients in the polynomial function, then solve those. First of all, notice that you are given the y-intercept, (0, 6), so you know one of the coefficients already. That leaves a system of 3 equations in 3 unknowns that need to be solved.

___

<em>Writing the equations</em>

... ax³ +bx² +cx +6 = y . . . . the generic linear equation in a, b, c that you're writing

For x = -1:

... -a +b -c +6 = 8

For x = 1

... a + b + c + 6 = 6

For x = 2

... 8a +4b +2c +6 = 20

In augmented matrix terms, this set of linear equations looks like ...

\left[\begin{array}{ccc|c}-1&1&-1&2\\1&1&1&0\\8&4&2&14\end{array}\right]

___

<em>Solving the equations</em>

There are a number of ways to solve these. Again, a graphing calculator often has solution functions, such as reducing a matrix to row-echelon form, that will solve this in a keystroke or two.

If you add the first two equations, you get ...

... 2b = 2 ⇒ b = 1

Substituting that into the first equation allows you to simplify it to ...

... -a -c = 1

Dividing the third equation by 2 (and substituting for b) makes it ...

... 4a +c = 5

Adding these equations gives ...

... 3a = 6 ⇒ a = 2

Then ...

... c = -a -1 = -2 -1 = -3

And our polynomial function is ...

... y = 2x³ +x² -3x +6

7 0
3 years ago
Mr.O'Brien is paid $10 per hour for the first 40 hours he works in a week. He is paid 1.5 times that rate for each hour after th
erma4kov [3.2K]


In first 40 hours he earns = 7.30 x 40 = $292
Each hour after his rate = 7.20 x 1.5 = $10.80 per hour
In extra four hours he earns = 10.80 x 4 =  $43.20 

Total earnings = $292 + $43.20 = $335.20 
Therefore you don't agree
Hoped this helped you

8 0
3 years ago
A. y= -9/8x-9/11 <br> B. y= 9/8x + 11/8<br> C. y= -8x - 11<br> D. y = 8/9x - 11/9
Nutka1998 [239]

Answer:

y=\frac{8}{9}x- \frac{11}{9}

6 0
3 years ago
A fruit punch juice mix flavor is made using 30% cherry flavoring and 70% blueberry flavoring, if Jim wants to make fruit punch
mojhsa [17]
14 containers of blueberries


I HOPE THIS HELPS!!

4 0
3 years ago
Read 2 more answers
A bag contains 5 white balls and 4 black balls, in how many ways 2 balls be drawn?
Elodia [21]

Answer:

4 ways (WW-BB-WB-BW)

Step-by-step explanation:

3 0
3 years ago
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