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
Leon's older brother is 4 3/4 feet tall. Leon is 1/3 foot shorter than his brother . How tall is leon?
Mademuasel [1]

Let

x------> height of Leon's older brother

y------> height of Leon

Convert mixed number to an improper fraction

4\frac{3}{4}\ ft=\frac{4*4+3}{4}= \frac{19}{4}\ ft443 ft=44∗4+3=419 ft

we know that

x=\frac{19}{4}\ ftx=419 ft -----> equation A

y=x-\frac{1}{3}y=x−31 -----> equation B

substitute equation A in equation B

y=\frac{19}{4}-\frac{1}{3}=\frac{53}{12}\ fty=419−31=1253 ft

Convert to mixed number

\frac{53}{12}=\frac{48}{12}+\frac{5}{12}=4\frac{5}{12}\ ft1253=1248+125=4125 ft

therefore

the answer is

4\frac{5}{12}\ ft4125 ft

3 0
2 years ago
Read 2 more answers
Jake and Katerina are enjoying breakfast at a café in Prague. The crepes cost $2.25 each, and strawberries cost $0.25 each. They
pantera1 [17]
24 strawberries and 8 crepes
3 0
3 years ago
Read 2 more answers
A random walker is observed to take a total of N steps, n of which are to the right (and the rest n^' are to the left). Suppose
ioda

Answer:

p = 0.635

Step-by-step explanation:

A step to the right is n and on ten different days, it was recorded to be

14, 13, 11, 12, 11, 12, 16, 16, 14, 8.

n = average of all the steps,

The average is the sum of variables divided by the number of variables

Average = (14+13+11+12+11+12+16+16+14+8)/10

Average = 12.7 steps.

σₙ² = variance of n

Variance is an average of the squared deviations from the mean.

[Σ(x - xbar)²/N]

Σ(x - xbar)² = (14-12.7)² + (13- 12.7² + (11-12.7)² + (12-12.7)² + (11-12.7)² + (12-12.7)² + (16-12.7)² + (16-12.7)² + (14-12.7)² + (8-12.7)² = 54.1

Variance = σₙ² = (54.1/10) = 5.41

standard deviation = σₙ = √(variance) = √5.41 = 2.326.

The proportion, p can be computed in two ways.

Mean = Np or standard deviation = √[Np(1-p)]

where N = total number of steps = 20

Mean = 12.7 = 20p

p = (12.7/20) = 0.635

Or

Standard deviation = 2.326 = √[20p(1-p)]

5.41 = 20p - 20p²

20p² - 20p + 5.41 = 0

Solving the quadratic equation,

p = 0.5 + 0.143i or p = 0.5 - 0.143i

not a unique or feasible solution, hence, the probability of a step to the right remains p = 0.635

Hope this Helps!!!

5 0
3 years ago
Maggie drank 4 5 liter of water Monday before going jogging. She drank 2 3 liter of water after her jog. How much water did Magg
cluponka [151]
It would be 6 and 3/10 because 4.5 plus 2.3 equals 6.3 so then you just make it into a mixed number and get 6 and 3/10
8 0
3 years ago
N
ExtremeBDS [4]

Answer:

a)13 b)no because at 18th term its -345

8 0
3 years ago
Other questions:
  • Find the slope and y intercept<br><img src="https://tex.z-dn.net/?f=4x%20%2B%203y%20%3D%203" id="TexFormula1" title="4x + 3y = 3
    12·1 answer
  • Can someone please help me with this question please?
    7·1 answer
  • Find the total surface area of this square based<br> pyramid.<br> 10 in<br> 5 in
    7·1 answer
  • Question 4 Multiple Choice Worth 4 points)
    9·1 answer
  • A motor boat and a raft start traveling downstream. After 1 hour, the boat turns around and travels back until it reaches the ra
    8·1 answer
  • Superman needs to save Lois from the clutches of Lex Luthor. After flying for 11 seconds, he is 2160 meters from her. Then at 19
    7·1 answer
  • What are the x- and y-intercepts of f(x)=x^2-49?
    6·1 answer
  • Need help with significant digits
    13·1 answer
  • I am struggling with my math. help me please<br><br><br>HELP ME!!!!
    14·1 answer
  • Giving brainlist please help me out
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!