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Soloha48 [4]
2 years ago
5

Write the trinomial as a square of a binomial. x²+2xy+y^2

Mathematics
1 answer:
Minchanka [31]2 years ago
7 0
The answer is (x+y)^2
Hope this helps!!

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1.What is the shape of the graph of any quadratic function?
likoan [24]

Answer:

Inverted parabola

Two complex solution

Step-by-step explanation:

any quadratic equation can be expressed in terms of ax^2 + bx + c = 0

It has two solutions which can be found using formula X =( -b + \sqrt{b^2 -4ac} )/2a \\or  \ ( -b - \sqrt{b^2 -4ac} )/2a

We know that  for any value inside the square root function

if it is positive its solution will be real number

for example  \sqrt{9} we can have two real solution -3 and 3

if it is negative its solution will be complex number

for example  \sqrt{-9}we can have two complex solution

expressed in term of a + ib or a - ib

------------------------------------------------------------------------------------------

Given in the problem

we have  ax^2 - bx + c

so its solution will be

X =( -(-b) + \sqrt{b^2 -4ac} )/2a \\or  \ ( -(-b) - \sqrt{b^2 -4ac} )/2a\\\\X =( b + \sqrt{b^2 -4ac} )/2a \\or  \ ( b - \sqrt{b^2 -4ac} )/2a\\

Since in this expression it is given in problem statement that b^2 - 4ac < 0 which will be a negative number and for negative number, its square root is complex number.

also X has two values as given above it will have two solution

hence it will have two complex solution based on above discussion.

Also for any quadratic equation shape of its curve if plotted on coordinate plane is parabolic.

If it has complex solution then curve of such expression  will not pass through X axis

7 0
3 years ago
Ricardo borrows $1,850 for 10 months at an interest rate of 12.25%. What amount will
jonny [76]

9514 1404 393

Answer:

  $2038.85

Step-by-step explanation:

The value of the loan at that point is given by ...

  A = P(1 +rt) . . . . . Principal P, rate r, time t (years)

  A = $1850(1 + 0.1225·(10/12)) = $2038.85

Ricardo will have paid back $2038.85 at the end of the loan period.

_____

<em>Additional comment</em>

We assume that the loan accrues simple interest and that the amount due is the sum of principal and interest at the end of the loan period.

The question is not specific as to whether interest compounds, or whether intermediate (monthly) payments are made. There are many possible ways the loan could be repaid, generally involving different amounts for the different terms.

7 0
3 years ago
This circle is centered at the origin, and the length of its radius is 8. what is the equation of the circle?
melomori [17]
Hello : 
note : 
<span>
<span>an equation of the circle Center at the A(a,b) and ridus : r is :
(x-a)² +(y-b)² = r²
</span></span>in this exercice : a =0    b = 0     r =8
<span>the equation of the circle is : x²+y² = 64</span>
8 0
3 years ago
Read 2 more answers
Solve 7x/3 &lt; 2 please
Mekhanik [1.2K]

Answer:

\large\boxed{x

Step-by-step explanation:

\dfrac{7x}{3}

8 0
3 years ago
Read 2 more answers
Gisele trains 7 days per week for a biathlon. She covers a total of 20 miles cycling and running each day. Gisele cycles a total
IgorLugansk [536]

The choice which describes the solution is; The solution is 5, which represents the number of miles she runs each day.

<h3>Word problems</h3>

According to the task content;

  • The total distance covered running and cycling per day is; 20miles

  • Additionally, she cycles a total of 105 miles each week.

From the statement above; it follows that;

The number of miles she cycles per day since 7 days make a week is;

  • 105/7 = 15.

Hence, it follows that the equation; (15+r) = 20 represents the daily distance covered by cycling and running.

On this note, it follows that;

  • r = 20 -15 = 5.

Hence, The solution is 5, which represents the number of miles she runs each day.

Read more on word problems;

brainly.com/question/21405634

4 0
2 years ago
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