1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Aleonysh [2.5K]
4 years ago
7

Which binomial is a factor of49x^2+84xy+36y^2

Mathematics
1 answer:
Alex17521 [72]4 years ago
3 0

Answer:

(7 x + 6 y)^2

Step-by-step explanation:

Factor the following:

49 x^2 + 84 x y + 36 y^2

The coefficient of x^2 is 49 and the coefficient of y^2 is 36. The product of 49 and 36 is 1764. The factors of 1764 which sum to 84 are 42 and 42. So 49 x^2 + 84 x y + 36 y^2 = 49 x^2 + 42 x y + 42 x y + 36 y^2 = 7 x (7 x + 6 y) + 6 y (7 x + 6 y):

7 x (7 x + 6 y) + 6 y (7 x + 6 y)

Factor 7 x + 6 y from 7 x (7 x + 6 y) + 6 y (7 x + 6 y):

(7 x + 6 y) (7 x + 6 y)

(7 x + 6 y) (7 x + 6 y) = (7 x + 6 y)^2:

Answer: (7 x + 6 y)^2

You might be interested in
THE FASTEST AND MOST ACCURATE GETS THE BRAINLIEST NO LINKS PLS. Hannah and Harold are making cookies for a bake sale, and they n
Mandarinka [93]

Answer:

They need to make at least 12 batches.

Step-by-step explanation:

First, we need to find how many cookies in total, so we multiply 70 by 4.

70*4 = 280.

Secondly, 1 batch makes 2 dozen cookies, or technically 24 cookies. So we need to find how many batched with 280 divided by 24. This results in 11.6 repeating. But if you round it up, you get 12.

Time to check:

12 * 24 = 288. So it's the amount of cookies needed with 8 remaining.

Hope this helps.

4 0
3 years ago
Which of the following expressions is equivalent to 4y + z + y − 8 + 6z
AlladinOne [14]

Answer:

the second one

Step-by-step explanation:

4y+y = 5y

z+6z = 7z

+8

4 0
3 years ago
Read 2 more answers
A recipe called for the ratio of tumeric to cumin to be 5 : 4. If you used 40 ounce of tumeric, how many ounces of cumin would y
VashaNatasha [74]

Answer:

32 ounces of cumin

Step-by-step explanation:

You have a ratio of

Tumeric : Cumin

5 : 4

40 ounces : ?

You divide 40 by 5 and get 8.

So you do 8 x 4 and get 32 ounces

6 0
3 years ago
Helpppppppppp there are 2 pics attached
fiasKO [112]

Answer:

Option A

Option B

Option E

Option G

Option A and E go together

and

Option B and G go together.

4 0
3 years ago
Melanie invested $3800 in an account paying in interest rate of 2 3/8% compounded quarterly Sebastian invested $3800 in an accou
nekit [7.7K]

Answer:

$317

Step-by-step explanation:

Formula for compound interest is;

A = P(1 + (r/n))^(nt)

For melanie;

P = $3800

r = 2⅜% = 0.02375

n = 12/4 = 3

t = 16 years

Thus;

A = 3800(1 + (0.02375/3))^(3 × 16))

A ≈ $5548

For Sébastien;

P = $3800

r = 2¾% = 0.0275

n = 12

t = 16

Thus;

A = 3800(1 + (0.0275/12))^(12 × 16))

A ≈ 5865

Difference between Sébastien and Melanie's final amount = $5865 - $5548 = $317

6 0
3 years ago
Other questions:
  • Jamal wrote the inequality x/16 <6 . Which situation best represented by this inequality Helpppppp
    8·1 answer
  • Marty is making curtains. He buys 6 yards of fabric that costs p dollars per yard and 8 yards of fabric that costs q dollars per
    9·1 answer
  • Jodie has an orange grove. She noticed that if 27 trees are planted per acre, each tree produces about 568 oranges per year. For
    10·1 answer
  • What is a reasonable estimate for 3/2 x 5 1/4
    7·1 answer
  • Which expression can be used to find the surface area of the following triangular prism?
    15·2 answers
  • X/3 -4 = -29 what does X equal? Plz help
    5·1 answer
  • 11=w+3–solving equations
    14·2 answers
  • If x=5, then 3x+4x-15 equals what
    12·1 answer
  • Step by step explaination<br> 2x + 4 &lt; 8
    6·1 answer
  • How do I solve this? ​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!