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
sleet_krkn [62]
3 years ago
10

The difference of two numbers is 16 and the sum of their squares is 130. What are the numbers.

Mathematics
1 answer:
Korvikt [17]3 years ago
4 0
x - y = 16
x^2 + x^2 = 130

----------------
x^2 - y^2 = 256
+(x^2 + y^2 = 130)
2x^2 = 386
x^2 = 193
x = <span>13.892 (3DP)
----
</span>x - y = 16
13.892 - y = 16
-y = 2.108
y = -2.108
The numbers are: 13.892 and -2.108
You might be interested in
1/2 of the people in the clinic are men, 1/3 are elderly, how many people are not elderly or men?
Nostrana [21]

1/6 of the people are not elderly or men

<h3>How to determine the proportion?</h3>

The given parameters are:

Men = 1/2

Elderly = 1/3

The number of people that are not elderly or men are:

People = 1 - Men - Elderly

So, we have:

People = 1 - 1/2 - 1/3

Evaluate

People = 1/6

Hence, 1/6 of the people are not elderly or men

Read more about proportion at:

brainly.com/question/1781657

#SPJ1

7 0
2 years ago
2b^2 +32b + 128 <br> Pls answer this
KengaRu [80]

Answer:

{2b}^{2}  + 32b + 128

Factor and get

x =  - 8

8 0
3 years ago
Read 2 more answers
Which inequality represents the sentence? The difference of seven and two tenths and a number is more than twenty nine. 7. 2 - n
Slav-nsk [51]

The inequality which represent, the difference of seven and two tenths and a number is more than twenty-nine, is

7.2-n > 29

<h3>What is the inequality equation?</h3>

Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.

Inequality is represented with the greater then(<), less then(>) or with the other inequity signs like less than equal to \leq or greater than equal to \geq.

Tenth is written as the fractional part of the number 10. The value of one tenth is equal to 1/10 or 0.1.

The sentence given for the inequality expression is, that the differences of seven and two tenths, and a number is more than twenty-nine.

The number seven and two tenths can be written as,

7\dfrac{2}{10}

Suppose the unknown number is n.  Now, the differences of seven and two tenths, and this number (<em>n</em>) is more than twenty-nine.  The more than word means, the greater than sign for equation. Thus, it can be expressed as,

7\dfrac{2}{10}-n > 29\\\dfrac{72}{10}-n > 29\\7.2-n > 29

Hence, the inequality which represent, the difference of seven and two tenths and a number is more than twenty-nine, is

7.2-n > 29

Learn more about the inequality equation here:

brainly.com/question/17724536

7 0
2 years ago
Madeline drove 180 miles in 4 hours. If she drove at a constant rate, how far did shetravel in one hour?On the double number lin
Tcecarenko [31]

We have a question on motion with the elements of distance, time taken and speed.

This question in particular is asking us for distance per unit time (in this case, hours).

We are required to find out how much distnace is covered in on hour and our approach will be as follows:

\text{Speed= }\frac{\text{Distance}}{\text{time}}=\frac{180\text{miles}}{4\text{hours}}=\frac{45\text{ miles}}{1\text{ hour}}

This right here just tells us that 4 hours, Madeline covered 180 miles and since her rate was constant (equal distances in equal times), then she also covered 45 miles in an hour.

Now we plot our number line.

8 0
1 year ago
Find the lateral area and total surface area of each of the following. GEOMETRY!!! HELP PLS
AlexFokin [52]

(a) The lateral surface area of the prism is 720 sq units and the total surface area is 752 sq units.

(b) The lateral surface area of the cone is 136π sq units and the total surface area is 200π sq units.

(c) The lateral surface area of the cylinder is 242π sq units and the total surface area is 484π sq units.

<h3>Lateral surface area of the prism</h3>

L.S.A = Ph

where;

  • P is perimeter of the base
  • h is height of the prism

h² = 17² - 8²

h² = 225

h = 15

L.S.A = (3 x 16) x 15 = 720 sq units

<h3>Total surface area of the prism</h3>

T.S.A = PH + 2B

T.S.A = 720 + 2(16) = 752 sq units

<h3>Lateral surface area of the cone</h3>

L.S.A = πrt

where;

  • t is the slant height = 17

r² = 17² - 15²

r² = 64

r = 8

L.S.A = π(8)(17) = 136π sq units

<h3>Total surface area of the cone</h3>

T.S.A = πrt + πr²

T.S.A = 136π sq units + π(8)²

T.S.A = 200π sq units

<h3> Lateral surface area of the cylinder</h3>

L.S.A = 2πrh

where;

  • r is the radius of the cylinder = 11
  • h is height of the cylinder = 11

L.S.A = 2π(11 x 11) = 242π sq units

<h3>Total surface area of the cylinder</h3>

T.S.A = 2πrh + 2πr² = 2πr(r + h)

T.S.A = 2π(11)(11 + 11)

T.S.A = 484π sq units.

Thus, the lateral surface area of the prism is 720 sq units and the total surface area is 752 sq units.

  • the lateral surface area of the cone is 136π sq units and the total surface area is 200π sq units.
  • the lateral surface area of the cylinder is 242π sq units and the total surface area is 484π sq units.

Learn more about surface area here: brainly.com/question/76387

#SPJ1

3 0
2 years ago
Other questions:
  • How to find the measurements of an angles
    6·1 answer
  • What is the value of -3r+ 8 when r=4?<br> 0 -12<br> 0 -4<br> O4<br> o 12
    6·2 answers
  • 4+ 2x = 12; ( 2) having trouble with dis :(
    12·1 answer
  • Of the 420 sandwiches Joanna makes 20% are tuna sandwiches 40% are are ham sandwiches and the rest are egg sandwhiches.How.many
    14·2 answers
  • What would a decimal number look like between one and two
    10·1 answer
  • 1. TRIATHLON The course for a local
    13·1 answer
  • Use the equation Y = 3/27x-54 +5.
    10·2 answers
  • Rudolfo has 15 toys in his toy box, and he adds 2 new toys every month. Based on this information, which representation best sho
    13·1 answer
  • Can somebody help me with the question i asked before this.....please
    14·1 answer
  • 1v1=p2v2, where p1 and v1 are the initial pressure and volume of a gas and p2 and v2 are the final pressure and volume of the ga
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!