All categories

3 years ago

Factor 6m^2+25mn+11n^2 and if you can please tell me a step-by-step explanation, please! Thanks :)

Mathematics

2 answers:

Aleonysh [2.5K]3 years ago

7 0

For this case, we have to factor the following expression:

$6m ^ 2 + 25mn + 11n ^ 2$

The term that is in the middle must be rewritten as a sum of two terms whose product is:

$6 * 11 = 66$

and whose sum is 25.

Those numbers are 22 and 3.

$22 * 3 = 66\\22 + 3 = 25$

Rewriting the term of the medium we have:

$6m ^ 2 + 3mn + 22mn + 11n ^ 2$

We factor the maximum common denominator of each group:

$3m (2m + n) + 11n (2m + n)$

We factor the polynomial by factoring the maximum common denominator, $(2m + n)$ :

$(2m + n) (3m + 11n)$

Answer:

$(2m + n) (3m + 11n)$

Alja [10]3 years ago

4 0

idk ......sorry‍♀️‍♀️‍♀️

You might be interested in

Please answer!!! Will mark brainliest answer !!!

kenny6666 [7]

Answer:

A, D

Step-by-step explanation:

When we multiply the fractions, we can get:

$\frac{1}{5^{4} }$

This is also equivalent to:

$5^{-4}$

When looking at the answer choices, the only ones that equal $5^{-4}$ are A and D because:

$(5^{-2})^{2} =5^{-4}$

$5^{2}*5^{-6} = 5^{-4}$

3 0

3 years ago

Answer ASAP pls pls answer

Harrizon [31]

Answer:

Figures with the same size and shape are congruent.

5 0

3 years ago

Read 2 more answers

Of the 25 fish that Karl caught

otez555 [7]

Answer:

1,820 trout

Step-by-step explanation:

Set up a proportion where x is the number of trout in the lake:

$\frac{7}{25}$ = $\frac{x}{6,500}$

Cross multiply and solve for x:

25x = 45,500

x = 1820

So, you could expect 1,820 trout to be in the lake.

7 0

3 years ago

1 2 3 4 5 6 7 8 9 10 11 12 13

Rina8888 [55]

Answer:

The mean will increase more than the median, but both will increase.

[third option listed]

Step-by-step explanation:

the median of a data set is the number in the middle [when listed from lowest to highest in value]

1 2 3 4 5 6 7 8 9 10 11 12 13

is the current median

let's consider what adding 12 would mean--it would mean that we move the median slightly higher [further along in the data set] because there are more numbers (but let's try this out to confirm:)

1 2 3 4 5 6 7 8 9 10 11 12 12 13

[if a median placement is shared between two numbers, the mean/average of those two numbers is taken, and that is considered to be the median]

so, 7.5 is the current median

(this is an increase of 0.5)

the mean of a data set is what we commonly refer to as the "average"

[you find this value by adding all of the numbers in the data set together and dividing by the number of terms in the data set]

1 2 3 4 5 6 7 8 9 10 11 12 13

mean of original data set:

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 [= 91]

_______________________________________

[91 ÷ 13 = 7]

because our number is greater than our original mean [12 > 7], we know that the mean must increase:

[91 + 12 = 103]

[103 ÷ 14 ≈ 9.36]

[we had an increase of 2.36]

so, median increased by 0.5, mean increased by 2.36

so, both values increased, whilst the mean increased by more than the median [as to be expected]

you could also express this as "The mean will increase more than the median, but both will increase." [third option listed]

hope this helps!! :)

3 0

2 years ago

2x+3(x-4)=4(2x+3) solving one linear equation form

Art [367]

Answer:

x= -8

Step-by-step explanation:

2x+3x-12=8x+12

5x-12=8x+12

5x-8x=12+12

-3x=24

24/-3

x= -8

4 0

3 years ago