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
kow [346]
2 years ago
5

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

Mathematics
1 answer:
alina1380 [7]2 years ago
3 0

Answer:

13 and 16.

Step-by-step explanation:

Let the 2 parts be x and y, then:

x + y = 29

x^2 + y^2 = 425

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

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

x^2 + 841 - 58x + x^2 - 425 = 0

2x^2 - 58x + 416

x^2 - 29x + 208 = 0

208 = 2*2*2*2*13

= 16 * 13

So factoring we get:

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

x = 13 ,16

So the numbers are 13 and 16.

You might be interested in
Evaluate the expression for the given value of the variable. y -8 +12;y=32
MrMuchimi

Answer:

36

Step-by-step explanation:

32-8+12=24+12=36

4 0
2 years ago
What is a cube number that us greater than 100 but less that 200
wlad13 [49]
Let the number<span> be H T O. Ones digit = O Given that. O =10−5 ⇒ O =5. Also is given that tens digit T is 2 </span>more than<span> ones digit O ⇒ tens digit T = O +2=5+2=7. ∴ The </span>number<span> is. H 75. Given also is that "</span>number<span> is </span>less<span> than </span>200<span> and </span>greater than 100<span> " ⇒ H can take value only =1. We get our </span>number<span>as 175.</span>
3 0
3 years ago
(HELP PLS WILL MARK BRAINLIEST) For her birthday, Allie received $75. She wants to buy some CDs
Yuki888 [10]

Answer:

5

Step-by-step explanation:

She received $75

1 CD cost $14.95

Therefore the number of CDs that can be bought are $75/$14.95 is

5.016

3 0
3 years ago
Read 2 more answers
A person places $37700 in an investment account earning an annual rate of 5%,
lorasvet [3.4K]

Answer:

8,229,437 cents

Step-by-step explanation:

Using the compound interest formula;

A = P(1+r)^n

Given

Principal invested = $37700

rate r = 5% = 0.05

Time t = 16years

Substitute into the formula

A = 37700(1+0.05)^16

A  = 37700(1.05)^16

A = 37700(2.1829)

A = 82,294.37

Hence the amount of money, to the  nearest cent, in the account after 16 years is 8,229,437 cents

4 0
2 years ago
The total mass of Sandeep and his sister, Leela, is 54.75 kg. The total
krok68 [10]
He is 38 kg.


I'll use only the first letters of their names, to make it simpler:

S+L=54.75
S+M=105
M=4L

S+4L=105
105-54.75=4L-L=3L
L=50.25/3=16.75
S=54.75-16.75=38
6 0
2 years ago
Read 2 more answers
Other questions:
  • a company sells a container of trail mix that is 10% cnady pieces and another container that is 25% candy pieces. how many cups
    10·1 answer
  • Determine the value of x
    11·2 answers
  • The following graph shows a proportional relationship.
    5·1 answer
  • If g(x) = 4x^2 - 16 were shifted 5 units to the right and 2 down, what would the new equation be?
    13·1 answer
  • Which triangle congruence theorem proves the triangles below are congruent?
    9·1 answer
  • The coordinates of the vertices of parallelogram MATH are M(-7,5), A(6,5), T(4,-2), and H(-9,-2). What are the coordinate of G,
    11·1 answer
  • Find the length of the side labeled “x”.<br> a) 4.88<br> b) 10.96<br> c)5.34<br> d)26.95
    11·2 answers
  • A rectangle is removed from a right triangle to create the shaded region shown below. Find the area of the shaded region.
    13·1 answer
  • Use the similar triangles below to find the height of the tree
    6·2 answers
  • After four days, Trudy's average exercise time was 45 minutes per day. If she exercises 60 minutes on the fifth day, what will b
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!