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3 years ago

Is 16x^2-36x+25^2 a perfect Square trinomial

Mathematics

1 answer:

yulyashka [42]3 years ago

6 0

Answer:

No, middle term should be 40x.

Step-by-step explanation:

$16 {x}^{2} - 2 \times 4x \times 5 + {25}^{2} \\ = {(4x)}^{2} - 40x + {5}^{2} \\ = (4x - 5)^{2} \\$

Hence, for the given trinomial to be a perfect square its middle term should be 40x and not 36x.

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NEED HELP ASAP! PLEASE SHOW WORK THANKS<br><br><br><br> RANDOM ANSWERS WILL BE MODERATED!

Yuri [45]

S = 2(LW +H(L +W))
= 2(2.2*3.0 +7.5(2.2 +3.0))
= 2(6.6 +7.5*5.2)
= 91.2 . . . . cm²

The appropriate choice is
4) 91.2

3 0

3 years ago

If a new jacket sells for $37, find the total cost if you were charged 4% sales tax. Round your answer to the nearest cent.

Shkiper50 [21]

Answer:

$38.48

Step-by-step explanation:

To find the sales tax you add 4% to 100%, which is 104%

Then you turn that into a fraction, which is 104/100

Then you multiply 104/100 by 37

You should get 38.48

Hope this helps! : )

4 0

3 years ago

Read 2 more answers

find the volume of a cylinder if it has a diameter of 8 and a height of 12 leave your answer in terms of pie

Mariana [72]

<h3> ♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ The formula for volume of a cylinder is:

$\pi r^2h$

The radius is half the diameter

Radius = 8/2 = 4

Substitute the values in:

$\pi (4)^2(12)$

Surface area = $192\pi$

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

5 0

3 years ago

Please help w steps! asap

SSSSS [86.1K]

Answer:

(4,6)

Step-by-step explanation:

The midpoint=( $\frac{5+3}{2} ,\frac{11+1}{2} )$

=(4,6)

8 0

3 years ago

An English teacher needs to pick 1111 books to put on his reading list for the next school year. He has narrowed down his choice

forsale [732]

Answer:

There are 3,659,040 ways he can choose the books to put on the list.

Step-by-step explanation:

There are

12 novels

8 plays

12 nonfiction.

He wants to include

5 novels

4 plays

2 nonfiction

The order in which the novels, plays and nonfictions are chosen is not important. So we use the combinations formula to solve this problem.

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

How many ways can he choose the books to put on the list?

Novels:

5 from a set of 12. So

$C_{12,5} = \frac{12!}{5!7!} = 792$

Plays:

4 from a set of 8. So

$C_{8,4} = \frac{8!}{4!4!} = 70$

Nonfiction:

2 from a set of 12

$C_{12,2} = \frac{12!}{2!10!} = 66$

Total:

Multiplication of novels, plays and nonfiction.

$T = 792*70*66 = 3,659,040$

There are 3,659,040 ways he can choose the books to put on the list.

4 0

3 years ago