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
sweet-ann [11.9K]
3 years ago
12

The sum of two numbers is 9. And the sum of their reciprocals is 1/2.find the numbers

Mathematics
1 answer:
Musya8 [376]3 years ago
7 0
Set up a system of equations:

x + y = 9
1/x +1/y = 1/2

The easiest way to solve would be substitution.
x + y = 9 can be solved for y:

y = 9 - x

Then plug this into the second equation and solve for x:

1/x + 1/(9-x) = 1/2
(9-x) + x = x(9-x)/2
9 = (9x-x²)2
18 = 9x - x²
x² - 9x + 18 = 0
(x-6)(x-3) = 0
x = 6, 3

You can check your answer by plugging the two numbers back into both of the equations:

6 + 3 = 9
1/6 + 1/3 = 1/2

The two numbers are 6 and 3.
You might be interested in
Isosceles triangle $ABE$ of area 100 square inches is cut by $\overline{CD}$ into an isosceles trapezoid and a smaller isosceles
emmainna [20.7K]

Answer:

5 inches

Step-by-step explanation:

See attachment for explanation.

4 0
3 years ago
Which Figure has a line sysmmetry F,H,J,L,R
Makovka662 [10]

Answer:

njnjfsdnjfe

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The FOIL method is used to multiply a binomial by a binomial.<br> True<br> O<br> False
riadik2000 [5.3K]

Answer:

True

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is the image of point (4, 5) after a counterclockwise rotation of 270º about the origin?
andriy [413]
A <span>counterclockwise rotation of 270º about the origin is equivalent to a </span><span>clockwise rotation of 90º about the origin.

Given a point (4, 5), the x-value, i.e. 4 and the y-value, i.e. 5 are positive, hence the point is in the 1st quadrant of the xy-plane.

A clockwise rotation of </span><span>90º about the origin of a point in the first quadrant of the xy-plane will have its image in the fourth quadrant of the xy-plane. Thus the x-value of the image remains positive but the y-value of the image changes to negative.
Also the x-value and the y-value of the original figure is interchanged.
For example, given a point (a, b) in the first quadrant of the xy-plane, </span><span>a counterclockwise rotation of 270º about the origin which is equivalent to a <span>clockwise rotation of 90º about the origin will result in an image with the coordinate of (b, -a)</span>

Therefore, a </span><span>counterclockwise rotation of 270º about the origin </span><span>of the point (4, 5) will result in an image with the coordinate of (5, -4)</span> (option C)
3 0
3 years ago
Lilia is saving money for dance lessons. She already has $10. Each week she is going to save $5. Write an equation, in slope-int
katrin [286]

The equation which represents the amount of money, y, that Lilia will save in x weeks is;

  • y =$5x + $10.

<h3>Slope-intercept form of linear equations</h3>

The slope-intercept form of linear equations usually takes the form;

  • y = mx + c

According to the information given;

  • Lilia already has $10.

Therefore, the y-intercept of the equation is; $10.

  • And since she saves $5 each week;

The slope of the equation is; $5.

By substitution, the required equation is;

  • y =$5x + $10.

Read more on slope-intercept form of equations;

brainly.com/question/1884491

4 0
2 years ago
Other questions:
  • A homeowner is planting a vegetable garden. The location
    9·1 answer
  • Ahmed is taking orders for lunch . A slice of pizza costs $2.5 and a chicken sandwich cost $3.5 . He collects $21.5 for the grou
    15·2 answers
  • Side AC = 4, side BC = 6, side DF = 4, and side EF = 6. What side corresponds to side AB and can be used to show that ΔABC ≅ ΔDE
    5·1 answer
  • Can You help me with this 6+(4+x)=(6+4)+x
    8·1 answer
  • The team must score an additional 6 points to win the game. There are 10 more chances to score one point.
    14·1 answer
  • SUMA Y RESTA DE FRACCIONES
    5·1 answer
  • A jar contains 1 blue marble, 11 yellow marbles, and 8 green marbles. What is the probability of randomly choosing a blue marble
    14·2 answers
  • Question 4 of 16
    12·1 answer
  • Given: wzx and yzx are right triangles, wx = yx. Prove wxz ~= yx .....plz answer will give brainlyest!!
    14·1 answer
  • A parachutists speed during a free fall reaches 180 kilometers per hour. What is this speed in meters per second? At the speed,
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!