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
inn [45]
3 years ago
9

Using Suitable Identity ,Find the value of (i) (729)2-(271)2 (ii)98x107

Mathematics
1 answer:
pogonyaev3 years ago
3 0

Answer:

(i) 458000 (ii) 10486

Step-by-step explanation:

(i) (729)²-(271)²

The identity is : a^2-b^2=(a-b)(a+b)

(729)²-(271)² = (729-271) × (729+271)

= 458 × 1000

= 458000

(ii) 98x107 = (100-2) (100+7)

Idenity : (x-a)(x-b) = x^2+(a+b)x+ab

(100-2) (100+7)=100^2+(-2+7)100+(-2)(7)\\\\=10000+500-14\\\\=10486

Hence, this is the required solution.

You might be interested in
The statements below can be used to prove that the triangles are similar.
ki77a [65]

Answer:

StartFraction B C Over Y Z EndFraction = StartFraction 6 Over 3 EndFraction

Step-by-step explanation:

It is stated that both triangles satisfy the Side Side Side (SSS) postulate, and the proportions between 2 sides are provided, therefore, the missing proportion is needed to prove that the triangles are similar, that proportion is: BC/YZ = 6/3

7 0
3 years ago
Read 2 more answers
The sum of three numbers is 98 . The first number is 7 less than the second. The third number is 3 times the second. What are th
loris [4]

Answer:

14, 21, and 63

Step-by-step explanation:

we can set the three unknown numbers as x, y, and z

so

x + y + z =98

now we are given that the first (x)  is seven less than the second (y)

x = y - 7

the third number (z) is three times the second (y)

z = 3y

since we have an equation for z and x in terms of y, we can plug it into the first equation and solve for y.

(y-7) + y + (3y) =98

y - 7 + y + 3y =98

y + y + 3y =105

5y = 105

y=21

now that we know y, we can plug its value into either the second or the third equation to find x or z (I chose to find z first)

z = 3y

z = 3(21)

z = 63

now we can plug in y to find x

x = y - 7

x = 21 - 7

x = 14

so the three numbers should be 14, 21, and 63

7 0
3 years ago
Find the Perimeter and area
Maslowich
Perimeter is 36. This is because the radius and side lengths are the same in a regular hexagon. 

Are is roughly 93.53. 
6 0
4 years ago
Choose the correct statements !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Eddi Din [679]

Answer:

hello

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
In ΔXYZ, the measure of ∠Z=90°, YX = 97, XZ = 65, and ZY = 72. What ratio represents the tangent of ∠Y?
charle [14.2K]

Answer:

65/97 or 0.67

Step-by-step explanation:

TanY = opposite/adjacent

TanY = XZ/YZ

TanY = 65/97

= 0.6701030928

5 0
3 years ago
Read 2 more answers
Other questions:
  • If p is a true statement and q is false, what is the truth value of p ∨ q? T F → T T F → F F T → T F T → F
    11·2 answers
  • he test statistic of zequals1.71 is obtained when testing the claim that pgreater than0.7. a. Identify the hypothesis test as be
    13·1 answer
  • 25 POINTS IF ANSWERED #1 You have just inherited $5,000 from an old, incredibly rich (and smart) math teacher. However there is
    15·1 answer
  • Here goes my 3 question
    12·1 answer
  • Solve for y:<br> 2x + y &gt; 18
    8·1 answer
  • !!!!!!!!!!!!!!!!!!!!!!!!!!
    7·1 answer
  • What is -16 less than or equal to y - 9 ?
    10·2 answers
  • PLEASE HELP I CANT FIGURE IT OUTTTT
    14·2 answers
  • Measure E is equal to?
    12·2 answers
  • A store is offering 40% off regular priced items. The amount of discount on an item is $6, What is the regular price of this ite
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!