All categories

3 years ago

Determine which polynomial is a perfect square trinomial. (5 points) 4x2 − 12x + 9 16x2 + 24x − 9 4a2 − 10a + 25 36b2 − 24b − 16

Mathematics

2 answers:

bogdanovich [222]3 years ago

5 0

The answer is (2x-3)and 2 to the 2nd power at the end or after the parenthisis

grin007 [14]3 years ago

5 0

Answer:

Polynomial 1 is the perfect square polynomial.

Step-by-step explanation:

Polynomial 1. 4x² - 12x + 9

= (2x)² - 2(3)(2x) + 3²

= (2x - 3)² Perfect square

Polynomial 2. 16x² + 24x - 9

= (4x)² + 2(4x)(3) - (3)²

But we can not square it because formula to square is (a² + b² - 2ab) = (a - b)²

Instead of -(3)² there should be +(3)².

Polynomial 3. (4a² - 10a + 25)

= (2a)² - 2(5a) + 5²

We can not square it because instead of 2(5a) there should be 2(5)(2a) therefore not a perfect square polynomial.

Polynomial 4. (36b² - 24b - 16)

= (6b)² - 2(4)(6b) - 4²

We can not square it again because (4)² is with negative notation.

Therefore, Polynomial 1 is the answer.

You might be interested in

you have $60 and your sister has $120. You are saving $7 per week and your sister is saving $5 per week. How long wil it be befo

lora16 [44]

Answer:30 weeks

Step-by-step explanation:

60+7w=120+5w

2w=60w=30

6 0

3 years ago

Please Help! I will give you the brainiest and a lot of points!

slamgirl [31]

#19

$\\ \sf\longmapsto \dfrac{7}{5}$

#20

$\\ \sf\longmapsto \dfrac{9}{5}$

#21

$\\ \sf\longmapsto \dfrac{11}{7}$

#22

$\\ \sf\longmapsto \dfrac{12}{7}$

#23

$\\ \sf\longmapsto \dfrac{2}{2}=1$

#24

$\\ \sf\longmapsto \dfrac{3}{2}$

#25

$\\ \sf\longmapsto \dfrac{5}{2}$

#26

$\\ \sf\longmapsto \dfrac{6}{2}=3$

#27

$\\ \sf\longmapsto \dfrac{8}{2}=4$

#28

$\\ \sf\longmapsto \dfrac{9}{2}$

#29

$\\ \sf\longmapsto \dfrac{13}{4}$

#30

$\\ \sf\longmapsto \dfrac{19}{4}$

#31

$\\ \sf\longmapsto \dfrac{37}{6}$

#32

$\\ \sf\longmapsto \dfrac{25}{6}$

4 0

3 years ago

Read 2 more answers

new vintage 1965 convertible requires an ol change every 400 miles and replacement of all fBuids every 13,000 mles If these serv

tekilochka [14]

Answer: There are 26000 miles that will both be due at the same time.

Step-by-step explanation:

Since we have given that

Number of miles required by new vintage = 400

Number of miles if these services have must been performed by the dealer = 13000

We need to find the number of miles from now that will both be due at the same time.

We would use "LCM of 400 and 13000":

As we know that LCM of 400 and 13000 is 26000.

So, there are 26000 miles that will both be due at the same time.

3 0

3 years ago

What is this 9000 x 0

saveliy_v [14]

It is 0 because anything multiplied by 0 is 0.

5 0

3 years ago

Given: -16 = m/5 -18; <br> Prove: m=10

spayn [35]

Answer:

I have proven m is 10. have a good day and give brainliest if possible.

3 0

3 years ago