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
frutty [35]
3 years ago
9

The sum of the squares of two numbers is 18. the product of the two numbers is 9. find the numbers.

Mathematics
2 answers:
OLEGan [10]3 years ago
8 0

Answer:

x=3 y=3

Step-by-step explanation:

The sum of the squares of two numbers is 18, and the product of those two numbers is 9, you just need to create an equation:

So the sum of the squares is 18, the first number will be represented as X and the second as Y:

x^{2}+ y^{2} =18

And the other one is that the product of the two numbers is 9:

xy=9

We have a system of equations here, we clear X from the first one:

x=\frac{9}{y}

And instert that value of x in the first one:

x^{2}+ y^{2} =18\\(\frac{9}{y} )^{2}+ y^{2} =18\\81=y^2(18-y^2)\\y^4-18y^2+81=0\\(y^2-9)(y^2-9)=0\\Y^2-9=0\\y^2=9\\y=3

By solving this equation we get that the first number is 3.

The second number is solved by inserting the value of Y into one of the equations, in this case we will use the second:

xy=9\\x=\frac{9}{y} \\x=\frac{9}{3} \\x=3

So we get that x and y are both 3.

zhuklara [117]3 years ago
4 0
A graph shows the two numbers are either (3, 3) or (-3, -3).

You might be interested in
A certain westbound U.S. highway truck route near a river has a downhill grade of 9%. (a) Explain what a 9% downhill grade means
pashok25 [27]

Answer:

A) A 9% downhill grade means that the decrease in elevation of the road over the segment is 9% of the change in Horizontal distance over the same segment. In other words, for every 100 horizontal feet the road descends 9 feet and the road has a slope of 0.09 vertical feet per horizontal foot.

Step-by-step explanation:

A Certain westbound U.S highway truck route near a river has a downhill grade of 9%

A) A 9% downhill grade means that the decrease in elevation of the road over the segment is 9% of the change in Horizontal distance over the same segment. In other words, for every 100 horizontal feet the road descends 9 feet and the road has a slope of 0.09 vertical feet per horizontal foot.

In other to make things clear, lets assume

for X = 1 , y = 9% = 0.09

for y =  9 , x = 9 / 0.09 = 100

slope = y/x = 0.09 / 1 = 0.09

5 0
3 years ago
Select the correct answer.
joja [24]

Answer:

D. 21/2

Step-by-step explanation:

We simply have to evaluate the first three terms based on the progression's formula:

t= 1,  the first term is 8, as we see:

8(\frac{1}{4})^{t-1} = 8(\frac{1}{4})^{1-1} = 8 * 1 = 8

t=2, the second term is 2, as we see:

8(\frac{1}{4})^{t-1} = 8(\frac{1}{4})^{2-1} = 8 * \frac{1}{4} = 2

t=3, the third term is 1/2, as we see:

8(\frac{1}{4})^{t-1} = 8(\frac{1}{4})^{3-1} = 8 * \frac{1}{16} = \frac{1}{2}

The sum of the first 3 terms is then: 8 + 2 + 1/2 = 10 1/2

Among the answer choices, D. 21/2, which is 10 1/2.

3 0
3 years ago
What is the value of x?<br> 4 cm<br> 32 cm<br> 40 cm
Luba_88 [7]

Answer:

x=5

Step-by-step explanation:

Since 32 is 8 times 4 cm, then 40/8=5.

7 0
3 years ago
Read 2 more answers
Twice the sum of a number and negative nine
Mice21 [21]
2(x+-9)
2(x-9)
Distribute
2x-18 is the simplified expression
3 0
3 years ago
It is believed that the best angle to fly a kite is 30 degrees. If you fly a kite at this angle and let out 200 feet of string,
poizon [28]

Answer:

200 feet of the ground at a thirty degrees angle does not make a difference .

u need to know whether it is the top or bottom of it, the kite

6 0
2 years ago
Other questions:
  • The length of a rectangle is (x+22. The width of the rectangle is (x^2+1). Which expression represents the perimeter of the rect
    8·2 answers
  • A pool is filled at a rate of 105gal/min. What is the rate in ml per second
    13·1 answer
  • What percent of 60 is 15
    13·2 answers
  • Levi wants to order the fractions 1/3, 2/5, and 11/30 in descending order? How can you help him by using a common denominator? E
    14·1 answer
  • Solve the equation for x.<br> x2 = 484<br> X = +
    7·1 answer
  • PLEASE HELP!!! It’s urgent
    12·2 answers
  • Help i give you brinly
    7·1 answer
  • Select the correct symbol
    5·2 answers
  • What is the area of the triangle?<br> 4<br> 2<br> units?
    8·1 answer
  • Barry and Leila decided to have a contest to find who could read more per week. Barry read for hours and Leila read for hours. H
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!