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goldenfox [79]
4 years ago
15

Identify the factors of x2 + 36y2. (5 points)

Mathematics
1 answer:
Sergio039 [100]4 years ago
6 0
Factors can be checked by reverse method, check the choices and find which prime matches the given:
Let us try the first item:
(x + 6y)(x-6y)
=x²-6xy +6xy -36y²
=x² - 0xy - 36y²
= x² - 36y²

Let us try the second item:
(x+6y)(x+6y)
=x² + 6xy +6xy + 36y²
=x² + 12xy + 36y²

Let us try the third item:
(x-6y)(x-6y)
=x²-6xy-6xy+36y²
=x² - 12xy +36y²

No correct factors from the given choices.
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Mr. Fishie bought a tank for $15 and 10 fish which cost $f each. If he gave the cashier two 20-dollar bills, what was his change
Gnesinka [82]

Answer:

$25 - $10f

Step-by-step explanation:

Fishie's name is fishy.  

We know Mr. Fishie spent $15 on a tank.  His 10 fish cost 10*$f.  His total is:

Total =15 + 10*f

His change after 2 $20 would be:

$40 - ($15 - $10f), or

$25 - $10f

3 0
2 years ago
Simplify the expression: 1/1+cot^2x
Art [367]

When you simplify the expression 1/1+cot^2x the final product is C. sin^2 (x).

Hope this helps!

8 0
3 years ago
Find the area of the largest square contained by a circle of radius r = 1cm. Explain your answer and justify that it is correct.
Elena-2011 [213]

Answer:

2 square cm

Step-by-step explanation:

Given :

A square is inscribed in a circle whose radius is r = 1 cm

Therefore, the diameter of the circle is 2 r = 2 x 1

                                                                      = 2 cm.

So the diagonal of the square is 2r.

Using the Pythagoras theorem, we find each of the side of the triangle is $r \sqrt 2$.

Therefore, the area of the square is given by $\text{(side)}^2$

                                                                         = $(r\sqrt 2)^2$

                                                                         $= 2 r^2$

                                                                         $= 2 (1)^2$

                                                                         $=2 \ cm^2$

Hence the area of the largest square that is contained by a circle of radius 1 cm is 2 cm square.

7 0
3 years ago
Tickets to a concert cost $2 for children, $3 for teenagers and $5 for adults. When 570 people attended the concert, the total t
Ilia_Sergeevich [38]

Answer: 220

<u>Step-by-step explanation:</u>

Children (x): $2

Teens (y): $3, \frac{3}{4}x

Adults: (z): $5

Quantity: x + y + z = 570  ⇒  x + \frac{3}{4}x + z = 570  ⇒ 1.75x + z = 570  

Cost: 2x + 3y + 5z = 1950  ⇒  2x + 3(\frac{3}{4}x) + 5z = 1950  ⇒  2x + 2.25x + 5z = 1950  ⇒  4.25x + 5z = 1950

Qty:    1.75x +  z =  570  →  5(1.75x +  z =  570)  →    8.75x + 5z = 2850

Cost: 4.25x + 5z = 1950 → -1(4.25x + 5z = 1950 → <u> -4.25x - 5z</u> = <u>-1950 </u>

                                                                                  4.50x        =   900

                                                                                          x       =    200

Teens (y): \frac{3}{4}x

           y = \frac{3}{4}(200)

             = \frac{600}{4}

             = 150

Quantity: x + y + z = 570  

              200 + 150 + z = 570

                     350     + z = 570

                                    z = 220


6 0
3 years ago
Pls help I’ll brainlest ASAP
Burka [1]
So, and, but, but, or, nor, so. Im pretty sure this is correct.
5 0
3 years ago
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