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
Dima020 [189]
1 year ago
10

One number is 6 more than another. The difference between their squares is 204. What are the numbers?

Mathematics
2 answers:
Elenna [48]1 year ago
7 0

Answer: 20 and 14

Step-by-step explanation:

Using a little guess and check, we can figure out that the numbers are 6 apart and the difference between their squares is 204.

20^2 = 400\\14^2=196

20^2-14^2 = 204

A trick to doing this is to start with a number that is easily squared like 10 or 20 and see if the difference between their numbers is larger or smaller and change your numbers based on them.

Hope this helped :)

Crazy boy [7]1 year ago
4 0

Answer:

14 and 20

Step-by-step explanation:

<u><em> Let x and y be two numbers where x < y</em></u><em>.</em>

We are given :

y - x = 6

y² - x² = 204

Then

y - x = 6

(y - x)(y + x) = 204

Then

y - x = 6

6 × (y + x) = 204

then

y - x = 6       (Equation 1)

y + x = 34    (Equation 2)

Then

(Equation 1) + (Equation 2) ⇒ 2y = 40 ⇒ y = 20

Now ,we substitute y by 20 in equation 1 :

y - x = 6

⇔ 20 - x = 6

⇔ 20 - 6 = x

⇔ x = 14

You might be interested in
An object is thrown upward from the top of a 192 ft building with an initial velocity of 64 feet
Airida [17]

Answer:

t=6

Step-by-step explanation:

ground height = 0

(are you sure your formula is correct? isn't it - 16t²?)

if h=16t² +64t+192 is true then

16t² +64t+192 = 0

t² + 4t + 12 = 0

t = (-4 ± √(4² - 4*12)) / 2*1 = (-4 ± √-32) / 2 = -2 ± 2√-2

There is no solution of t

if it is h= - 16t² +64t+192

0 =- 16t² + 64t + 192

t² - 4t - 12 = 0

(t + 2) (t -6) = 0

t should be positive

t = 6 sec

7 0
3 years ago
Rachel earned $85.25 for working 6 1 4 hours. How much does Rachel earn per hour?
GaryK [48]

Answer:

Rachel earns per hour is $ 13.64 .

Step-by-step explanation:

As given

Rachel earned $85.25 for working 6 \frac{1}{4} hours.

i.e

Rachel earned $85.25 for working \frac{25}{4} hours.

Now calculate earning of Rachel for 1 hour .

Rachel\ earning\ for\ one\ hour = \frac{Total\ earning}{Total\ time}

Rachel\ earning\ for\ one\ hour = \frac{85.25}{\frac{25}{4}}

Rachel\ earning\ for\ one\ hour = \frac{85.25\times 4}{25}

Rachel\ earning\ for\ one\ hour = \frac{341}{25}

Rachel\ earning\ for\ one\ hour = \$ 13.64

Therefore Rachel earns per hour is $ 13.64 .

7 0
3 years ago
Read 2 more answers
Write the equation of the line parallel to<br> y=-2/3x+4 and through the point (–3, 15)
MrRa [10]
Parallel = same slope
y = -2/3x + b
Plug in point
15 = -2/3(-3) + b
15 = 2 + b, b = 13
Solution: y = -2/3x + 13
6 0
3 years ago
Read 2 more answers
(0,65-3,21)por(-8,12)=?
PIT_PIT [208]

Answer:  =20,7872

Step-by-step explanation:

For this exercise it is important to remember the multiplication of signs. Notice that:

(+)(+)=+\\\\(-)(-)=+\\\\(-)(+)=-\\\\(+)(-)=-

In this case you have the following expression given in the exercise:

(0,65-3,21)(-8,12)

Then you can follow the steps shown below in order to solve it:

Step 1: You must solve the subtraction of the numbers 0,65 and 3,21. Then:

=(-2,56)(-8,12)

Step 2: Now you must find the product of the decimal numbers above. In order to do that you must multiply the numbers.

(As you can notice, both are negative, therefore you know that the product will be positive).

Then, you get that the result is the following:

 =20,7872

5 0
3 years ago
Please tell me answers ​
Anna11 [10]

Answer:

no 8 is 90° and no 9 is two

Step-by-step explanation:

90° and two circles can pass through a given point

8 0
3 years ago
Other questions:
  • It is known that the mass, m(t), of a radio-active substance decreases as it decays, and that the equation governing this is m′(
    15·1 answer
  • Sandi is 13 years old. Karla is 3 times Sandi's age. How old is Karla?
    9·1 answer
  • UW = m and WX = y + 14 Write an expression for UX.
    6·1 answer
  • What is the solution of 1/2 x= 5/6
    12·2 answers
  • Three brothers bought a pack of 24 baseball cards to share. Can they each get the same number of cards. How do you know?
    13·1 answer
  • If three hats cost 24.30 how much is 1 hat
    9·1 answer
  • What is the sum of three consecutive whole numbers with 4y as the middle whole number?
    13·1 answer
  • Answer all three questions please
    14·1 answer
  • 72 times 73? <br>Need help answering​
    10·2 answers
  • Write a function g whose graph represents a horizontal stretch by a factor of 4 of the graph of f(x)=|x+3|.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!