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4 years ago

Factor 121m^2-198m+81

Mathematics

1 answer:

Pie4 years ago

5 0

1) Rewrite it in the form a^2-2ab+b^2, where a=11m and b=9

(11m)^2-2(11m)(9)+9^2

2) Use Square of Difference: (a-b)^2=a^2-2ab+b^2

(11m-9)^2

Your answer is (11m-9)^2

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Find the distance between the following two points: (-1,6) and (-8,9). Round to the nearest TENTH.

laila [671]

Answer:

-9, 15

Step-by-step explanation:

Add them both together to get your answer.

8 0

3 years ago

How do you do this 21x + 11 = 21x

luda_lava [24]

21x+11=21x
—-subtract 21x on both sides

11=0
—-subtract 11 on both sides

0=-11

Answer: There are no solutions

7 0

4 years ago

What is the measurements of N? Plz help

densk [106]

Answer:

B.) 18

Step-by-step explanation:

90 + 72 = 162

180 - 162 = 18

(90 comes from the right angle)

(72 is already present)

(a triangle adds up to 180 degrees)

5 0

4 years ago

Ben was in charge of ordering 3636 pizzas for the office party. He ordered three types of pizza: cheese, pepperoni, and suprem

shutvik [7]

Answer:

Ben bought 11 cheese pizzas, 16 pepperoni pizzas and 9 supreme pizzas

Step-by-step explanation:

We can solve this problem with a equation system. I will abbreviate the amount of cheese pizzas he buyed as C, the amount of pepperoni ones as P, and the amount of supreme ones as S. I will also remove the $ notation

The system is given as follows

C+P+S = 36

8C + 11P + 14S = 390

11P = 2*(8C) = 16C

We can easily replace 11P with 16C in equation 2, obtaining

8C + 16C + 14S = 390

24C + 14S = 390

S = (390- 24C)/14 = 195/7 - 12/7 C

Note that, also from equation 3, we have that

11P = 16 C

P = 16/11 C

Now, we can obtain the value of C using equation 1 replacing S and P with the founded values

C+P+S = 36

C + 16/11 C + 195/7 - 12/7 C = 36

C + 16/11 C - 12/7 C = 36-195/7 = 57/7

Taking C as common factor we obtain

C (1+16/11-12/7) = 57/7

C * 57/77 = 57/7

C = (57/7) / (57/77) = 11

Now, we replace this value in the formula we obtain for P and S

P = 16/11 * C = 16/11 * 11 = 16

S = 195/7 - 12/7 * 11 = 63/7 = 9

Now, we verify:

C+P+S = 11+16+9 = 36
8C + 11P + 14S = 8*11 + 11*16 + 14*9 = 88 + 176 + 126 = 390
2(8C) = 2*88 = 176 = 11P

Thus, Ben bought 11 cheese pizzas, 16 pepperoni pizzas and 9 supreme pizzas.

8 0

3 years ago

He has a record contract that Pays him a base rate of $200 a month and then additional $12 for each album that he sells. Last mo

slavikrds [6]

Answer:

He sold a total of 37 albums last month.

Step-by-step explanation:

Given,

Total earned money = $644

Base payment = $200

Additional payment for each album = $12

We have to find the number of albums sold by him.

Solution,

Let the number of albums be 'a'.

Total earned money is the sum of base payment and additional payment for each album multiplied with number of albums sold.

So framing in equation form, we get;

$644=200+12a$

Subtracting both side by '200' using subtraction property, we get;

$200+12a-200=644-200\\\\12a=444$

Now dividing both side by '12' using division property, we get;

$\frac{12a}{12}=\frac{444}{12}\\\\a=37$

Hence he sold a total of 37 albums last month.

3 0

3 years ago