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
zepelin [54]
2 years ago
12

Find the value of a that makes the ordered pair a solution of the equation

Mathematics
1 answer:
alex41 [277]2 years ago
3 0

Answer:

a = 5

Step-by-step explanation:

assuming (a-1, 9) is in the form of (x,y):

9(a-1) - 5(9) = -9

9a - 9 - 45 = -9

9a = 45

a = 5

You might be interested in
What is the binomial expansion of (x 2y)7? 2x7 14x6y 42x5y2 70x4y3 70x3y4 42x2y5 14xy6 2y7 x7 14x6y 42x5y2 70x4y3 70x3y4 42x2y5
AysviL [449]

You can take x = a, 2y = b and then can apply the binomial theorem.

The expansion of given expression is given by:

Option D: x^7 + 14x^6y + 84x^5y^2 + 280x^4y^3 + 560x^3y^4 + 672x^2y^5 + 448xy^6 + 128y^7 is

<h3>What is binomial theorem?</h3>

It provides algebraic expansion of exponentiated(integer) binomial.

According to binomial theorem,

(a+b)^n = \sum_{i=0}^n ^nC_i a^ib^{n-i}

<h3>How to use binomial theorem for given expression?</h3>

Taking a = x, and b =2y, we have n = 7, thus:

(x+2y)^7 = \: ^7C_0x^0(2y)^7 + \: ^7C_1x^1(2y)^6 + \: ^7C_2x^2(2y)^5 + \: ^7C_3x^3(2y)^4 + \:^7C_4x^4(2y)^3 + \:^7C_5x^5(2y)^2 + \:^7C_6x^6y^1 + \: ^7C_0x^7y^0\\\\&#10;(x+2y)^7 = 128y^7 + 448xy^6 + 672x^2y^5 + 560x^3y^4 + 280x^4y^3 + 84x^5y^2 + 14x^6y + x^7\\\\&#10;(x+2y)^7 = x^7 + 14x^6y + 84x^5y^2 + 280x^4y^3 + 560x^3y^4 + 672x^2y^5 + 448xy^6 + 128y^7

Thus, Option D: x^7 + 14x^6y + 84x^5y^2 + 280x^4y^3 + 560x^3y^4 + 672x^2y^5 + 448xy^6 + 128y^7 is correct.

Learn more about binomial theorem here:

brainly.com/question/86555

6 0
2 years ago
If you want to know the probability of spinning a spinner in a game that has 8 equal-sized
aleksandr82 [10.1K]

the answer is 1/8. Because you divide how many pieces there are by that same number.

7 0
3 years ago
Read 2 more answers
Unit 3 homework 2 geometry
ioda
Where is the question?
6 0
2 years ago
Consider the quadratic equation ax^2+bx+5=0,where a, b and c are rational numbers and the quadratic has two distinct zeros.
FrozenT [24]
You have shared the situation (problem), except for the directions:  What are you supposed to do here?  I can only make a educated guesses.  See below:

Note that if    <span>ax^2+bx+5=0    then it appears that c = 5 (a rational number).

Note that for simplicity's sake, we need to assume that the "two distinct zeros" are real numbers, not imaginary or complex numbers.  If this is the case, then the discriminant,    b^2 - 4(a)(c), must be positive.  Since c = 5, 

b^2 - 4(a)(5) > 0, or b^2 - 20a > 0.

Note that if the quadratic has two distinct zeros, which we'll call "d" and "e," then 

(x-d) and (x-e) are factors of ax^2 + bx + 5 = 0, and that because of this fact,

         - b plus sqrt( b^2 - 20a )
d =  ------------------------------------
                      2a

and

 </span>         - b minus sqrt( b^2 - 20a )
e =  ------------------------------------
                      2a

Some (or perhaps all) of these facts may help us find the values of "a" and "b."  Before going into that, however, I'm asking you to share the rest of the problem statement.  What, specificallyi, were you asked to do here?

7 0
3 years ago
What does 6 more than twice mean?
ivann1987 [24]

Answer:

2x+6

Step-by-step explanation:

you want to get 6 more than twice of a number, in this case, x. Hope this helps!

6 0
2 years ago
Read 2 more answers
Other questions:
  • Prayut is buying peanuts to make satay sauce to serve with
    15·1 answer
  • A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed
    14·1 answer
  • What function equation is represented by the graph?
    7·1 answer
  • Solve the inequality and graph the solution.
    5·1 answer
  • Five cats ate 1/4 cup of food how much food did five cats eat
    10·1 answer
  • Please be fast! What is the true solution to the equation below?
    9·2 answers
  • It's all on the picture ​
    7·2 answers
  • As an estimation we are told 5 miles is 8 km.<br>Convert 80 km to miles.​
    7·1 answer
  • What is the length of the side of a square that has an area of<br> 49 square centimeters
    13·2 answers
  • 750 divided by 10 to the 3rd power
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!