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
iragen [17]
3 years ago
14

Find the value of a square + b square when a+b = 8 and ab = 10

Mathematics
1 answer:
Ne4ueva [31]3 years ago
5 0

As we know,

\boxed{ \boxed{(a + b) {}^{2}  =  {a}^{2}  +  {b}^{2}  + 2ab}}

now, let's plug the given values to find a² + b²

  • (8) {}^{2}  =  {a}^{2}  +  {b}^{2}  + (2 \times 10)

  • 64 =   {a}^{2}  +  {b}^{2}  + 20

  • {a}^{2} +   {b}^{2}  = 64 - 20

  • a {}^{2} +  b {}^{2}  = 44
You might be interested in
Solve -3x + 12 = x – 4<br><br> Show your work
jeka94

Answer:

Step-by-step explanation:

-3x +12 =x-4

+3x

12 = 4x -4

+4

16 = 4x

Divide by 4

4 = x

3 0
3 years ago
Read 2 more answers
Kobe has collected 750 football cards and 660 baseball cards. He wants to divide them into piles so that each pile has only one
Harrizon [31]

Answer: 30 cards

Step-by-step explanation:

To find the greatest possible number of cards in each pile such that there is the same number of cards in each​ pile we need to find the greatest common factor of 750 and 660.

Using Euclid division method , we have

750=1(660)+90\\\\660=7(90)+30\\\\90=3(30)+0

Hence, the greatest common factor of 750 and 660 = 30

Thus, there will be 30 cards in each pile.

4 0
3 years ago
Why does the angle formed by the radius of a circle and a tangent of a circle has a measure of 90 degrees?
drek231 [11]
<span>Theorem:
A tangent to a circle forms a right angle with the circle's radius, at the point of contact of the tangent.</span>
5 0
3 years ago
Emilio earns $11 per hour. He works 14 hours a week. His employer withholds $32 from each paycheck for taxes. If he is paid week
adelina 88 [10]
$122, because 11x14= 154, then 154-32=122. 
8 0
3 years ago
Read 2 more answers
Write a rule for the following graph
djyliett [7]

Answer:

y = x + 1

Step-by-step explanation:

This is in slope intercept form. 1 is the point that you start at: (0, 1)

The slope is 1

y = 1x + 1 or

y = x + 1

7 0
3 years ago
Other questions:
  • What are the domain and range of the step function below?
    5·2 answers
  • Rodney bought a 25-pound bag of dog food. His dog ate 10 2/5 pounds of the food in the first month and 10 4/5 pounds in the seco
    10·2 answers
  • In a typical children's soccer game, there is one goal scored approximately every 18 minutes. The number of goals scored follows
    13·1 answer
  • A taxi charges a base fee plus $0.75/km.
    6·2 answers
  • N + 9 &gt;_ 13 (with the “_” under the “&gt;”
    13·2 answers
  • Complete the following equality. 4 days = hours
    14·2 answers
  • Ratio 7:5 large to small stickers. How many large if the total is 96?
    6·1 answer
  • Find the measure of each angle in the triangle.
    11·1 answer
  • 1. Um prêmio em dinheiro foi dividido entre 3
    8·1 answer
  • The level of the water is 5 percent more than it was last year.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!