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
solmaris [256]
3 years ago
13

The sum of the square of a positive number and the square of 44 more than the number is 8080. what is the​ number?

Mathematics
2 answers:
Elodia [21]3 years ago
8 0
<span>Let the unknown number be x
   x^2 + (x + 44)^2 = 8080
 x^2 +x^2 +88x +44^2 = 8080
 2x^2 +88x + 1936-8080=0
 2x^2 +88x - 6144 = 0
   divide through by 2
 x^2 + 44x -3072 =0
   Solving the quadratic equation, we have
 x= 37.65 or - 81.65</span>
mash [69]3 years ago
5 0
Let the number be x, therefore, its square is x², and 44 more than the number is x+44 whose square is (x+4)².
Thus the sum will be x² + (x+44)²² = 8080
                                  x² + x² + 88x + 1936= 8080 Combining the right terms 
                                  2x² + 8x - 6144 = 0 dividing by 2
                                     x² + 44x - 3072 =0 solving for x
                          x = 37.6 or -81.6
Therefore, the positive number is 37.6
                                
You might be interested in
‍♀️✨✌️CAN SOMEONE PLS HELP I NEED THIS TURNED IN BEFORE 12 ‍♀️
Alenkasestr [34]

Answer:

BUDDY YOU OUT OF LUCK

Step-by-step explanation:

5 0
3 years ago
Will give crown will post one more
zubka84 [21]

Answer:

1 is 22; 2 is 19; 3 is 16; 4 is 13; 5 is 10

Step-by-step explanation:

Give me that crown again

6 0
3 years ago
Read 2 more answers
Math PT Question 19 Which of the following is the correct equation for the trend line in the scatter plot ?
ki77a [65]

Using the points where the blue line crosses the X and Y axis:

(0,5) ans (-1, 0)

The slope is the change in Y over the change in X:

0-5 / -1 - 0 = -5/-1 = 5

Slope = 5

Y intercept = y1 = 5

Equation = y = 5x+5

8 0
3 years ago
Read 2 more answers
Translate the following phrase to a mathematical expression: a number times fifteen.
crimeas [40]

Answer:

it could either be n15

15n

because a number multiplied by 5 is

n15

but in mathematics a number comes before a letter when writing a mathematical expression

8 0
3 years ago
Read 2 more answers
Identify whether the equation represents an exponential growth or exponential decay function.1. y = 1/4 (1/e)^-2x2. y = (1/e)^4x
zvonat [6]

The general formula for exponential growth and decays is:

y=y_0e^{kx}

if k>0 then then it is an exponential growth function. If k<0 then the function represents an exponential decay.

Now we need to classify each of the functions:

1.

The function

y=\frac{1}{4}(\frac{1}{e})^{-2x}

can be wrtten as:

\begin{gathered} y=\frac{1}{4}(e^{-1})^{-2x}^{} \\ =\frac{1}{4}e^{2x} \end{gathered}

comparing with the general formula we notice that k=2, therefore this is an exponential growth.

2.

The function

y=(\frac{1}{e})^{4x}

can be written as:

\begin{gathered} y=(\frac{1}{e})^{4x} \\ y=(e^{-1})^{4x} \\ y=e^{-4x} \end{gathered}

comparing with the general formula we notice that k=-4, therefore this is an exponential decay.

3.

The function

y=2e^{-x}+1

comparing with the general formula we notice that k=-1, therefore this is an exponential decay.

5 0
1 year ago
Other questions:
  • PLEASE HELP ME WILL MARK BRAINLIEST
    14·1 answer
  • Round to the nearest ten thousand 905154
    9·1 answer
  • What is the denominator of a fraction with a numerator of 8?
    9·2 answers
  • A baseball team won 10 games and lost 7 games. Approximately what percent of games did the team win?
    10·2 answers
  • What property is shown 4/5 + (-4/5) =0
    10·1 answer
  • What is two plus two​
    7·2 answers
  • An inconsistent independent system of equations is a system with
    10·2 answers
  • (MIDDLE SCHOOL MATH) please help!
    6·2 answers
  • A = pq^2r<br><br> make r the subject
    13·1 answer
  • How many 1/5’s are in 2
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!