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
monitta
3 years ago
15

Divide 29 into two parts so that the sun of the squares of the parts is 425.Find the value of each Part.

Mathematics
2 answers:
Julli [10]3 years ago
7 0

Answer:

The 2 parts are 13 and 16.

Step-by-step explanation:

WE can set up a system of equations. If the 2 parts are x and y we have:-

x + y = 29

x^2 + y^2 = 425

From the first equation y = 29 - x, so substituting for y in the second equation:-:-

x^2 + (29 - x)^2 = 425

x^2 + x^2 - 58x + 841 = 425

2x^2 - 58x + 416 = 0

2 (x^2 - 29x + 208) = 0

We need 2 numbers whose sum is 29 and whose product is 208. Yhet are 13 and 16, so:-

2(x - 13)(x - 16) = 0

x = 13, 16  

So y = 29-13 , 29 - 16  = 16,13

Thus one number is 13 and the other is 16.

Taya2010 [7]3 years ago
4 0

Answer:

13 and 16

Step-by-step explanation:

let the 2 parts be x and y, then

x + y = 29 → (1) and

x² + y² = 425 → (2)

From (1) → x = 29 - y → (3)

substitute x = 29 - y into (2)

(29 - y)² + y² = 425 ( expand factor )

841 - 58y + y² + y² = 425 ( rearrange into standard form )

2y² - 58y + 416 = 0 ← in standard quadratic form

divide all terms by 2

y² - 29y + 208 = 0

Consider the factors of 208 which sum to - 29

These are - 13 and - 16, hence

(y - 13)(y - 16) = 0

equate each factor to zero and solve for y

y - 13 = 0 ⇒ y = 13

y - 16 = 0 ⇒ y = 16

substitute these values into (3)

x = 29 - 13 = 16 and x = 29 - 16 = 13

The 2 parts are 13 and 16


You might be interested in
8.25% convert to a decimal then round to fourth decimal Place I
Amiraneli [1.4K]
As 100%=1.0

8%=0.08

8.25%= 0.0825
8 0
3 years ago
Whoever gueses the right nuber between ten what im thinking gets brainly(1 ATTEMP)
Delvig [45]

Answer: 2)4r<628x) 56^9 h (1

Step-by-step explanation:

3 0
3 years ago
What is 47+50- __ - 32
Klio2033 [76]

This question doesn't make sense.Are you sure you wrote it correctly?

8 0
3 years ago
Find the measure of angle 1.
Elena-2011 [213]
6x+8=8x-4
12=2x
x=6

6(6)+8
36+8
44 = measure of angle 1
4 0
3 years ago
What is the area? Plz help fast I will mark brainliest ASAP
sweet [91]
1.5 is the area which makes it the diameter
7 0
3 years ago
Read 2 more answers
Other questions:
  • Andy is scuba diving. he starts at sea level and then descends 10 feet in 212 minutes. part a how would you represent andy's des
    11·1 answer
  • Which expression gives the value of x?
    10·1 answer
  • An article reported that for a sample of 41 kitchens with gas cooking appliances monitored during a one-week period, the sample
    9·2 answers
  • The density function for the number of times the riders scream on a roller coaster is given by....
    15·1 answer
  • Use the raw data below to create a table that can be used to create a histogram with 5
    12·1 answer
  • When the quotient of a long division problem has a remainder, it means the
    13·1 answer
  • Kate wants to buy a new bicycle from a sporting goods store. The bicycle she wants normally sells for $800. The store has a sale
    5·2 answers
  • A carpenter started with a board that was 31 inches long. He cut 2 pieces that were each 3 inches long. He then cut 3 pieces tha
    7·1 answer
  • F(5)=12 for a geometric sequence that is defined recursively by the formula f(n)=0.3xf(n-1) where n is an integer and n&gt;0. fi
    11·1 answer
  • Jean drove 64 miles per hour for a total of 448 miles on a trip. She used the equation below to calculate the time, t, it would
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!