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
Ugo [173]
2 years ago
14

1. since A^2= 36x^2, a=? 2. since b^2= 49, b=?

Mathematics
2 answers:
Wewaii [24]2 years ago
7 0

Answer:

D

Step-by-step explanation:

36x² - 49 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

then

36x² - 49

= (6x)² - 7²

= (6x - 7)(6x + 7)

Thus 6x - 7 is a factor of the expression

Leto [7]2 years ago
5 0

We need to simplify the expression <em>36x² - 49</em> , but let's recall the identity which is the main key to solve this question i.e

  • {\boxed{\bf{a^{2}-b^{2}=(a+b)(a-b)}}}

So , here we can write the above expression as

{:\implies \quad \sf (6x)^{2}-(7)^{2}}

Now , using the above identity this can be written as :

{:\implies \quad \sf (6x-7)(6x+7)}

So , here both <em>(6x-7)</em> and <em>(6x+7)</em> are factors of 36x²- 49 , but in the options their is only <em>6x - 7.</em>

<em>Hence , Option D) 6x - 7 is correct </em>

As here , <em>36x² = (6x)² = a²</em> , so <em><u>a = 6x</u></em> and as <em>49² = 7² = b²</em> , so <em><u>b = 7 </u></em>

You might be interested in
Divide mentally<br> 270 divide 3=
yanalaym [24]

27/3 = 9 so 270/3 = 90

4 0
3 years ago
Read 2 more answers
What is the value of x in the equation 2.5 x + 10 = x minus 0.5?
irinina [24]

Answer:

x=7

Step-by-step explanation:

2.5x+10=x-0.5\\2.5x-(x)+10-(10)=x-(x)-0.5-(10)\\1.5x=-10.5\\x=7

6 0
2 years ago
Read 2 more answers
Paula filed for Chapter 7 bankruptcy when she was 25 years old. How old will she be when the bankruptcy is removed from her cred
Arlecino [84]
She will be 35, because Chapter 7 bankruptcies stay for ten years.
7 0
3 years ago
Read 2 more answers
Joanne and Ed Greenwood built a new barn with an attached arena. To finance the loan, they paid $1,326 interest on $47,600 at 4%
gizmo_the_mogwai [7]

Answer:

Step-by-step explanation

Note that

Interest is represented by I=1326

The principal is represented by P=47,600

Rate is R =4%

And Time is year

Interest is calculated using the formulae,

I =PRT/100

From the above formulae, time can be calculated as

T=100I/PR

T= 100×1326/(47600×4)

T= 132600/190400

T= 0.6964 years

To convert to days, multiply by 365(since those no of days make a year)

T= 0.6964×365=254 days

This was approximated to the nearest day

Answer is 254 days

6 0
3 years ago
The graph shows the printing rate of Printer A. Printer B can print at a rate of 25 pages per minute. Complete this sentence: Th
frez [133]

Answer:

a equal to c 25 b greater than

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • The family size bottle of sunscreen holds 12 oz of sunscreen. The regular bottle holds 75% less. How many fewer fluid ounces doe
    6·2 answers
  • Find the anwser to y=2x -4. &amp; 4x+y=2
    13·1 answer
  • Based on a graph below which sequence of transformation is needed to carry ABCD onto its image A’B’C’D?
    8·1 answer
  • Which expression is equivalent to ....
    5·2 answers
  • Prove that \P(A) \cup \P(B) \subseteq \P(A \cup B) and find a counter-example to show that we don't always have equality
    8·1 answer
  • If a car travels 160 miles in 8 hours, what is the car’s speed?
    14·1 answer
  • The drama club sold tickets to a play for $5 each. They also made $55 in soda and popcorn sales. If the drama club made a total
    13·2 answers
  • A college has a student to teacher ratio of 35 to 2. If there are 170 teachers at the college, how many students attend the
    9·1 answer
  • Stuck on this hope someone can help me
    13·1 answer
  • Please beging help me thanks ​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!