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
MatroZZZ [7]
3 years ago
9

R2+2r-33=0 solve by completing the square

Mathematics
1 answer:
-BARSIC- [3]3 years ago
8 0
R^2+2r-33=0  move constant to other side by adding 33 to both sides

r^2+2r=33   halve the linear coefficient, square it and add to both sides, in this case it is just one

r^2+2r+1=34  now the left side is a perfect square...

(r+1)^2=34  take the square root of both sides...

r+1=34^(1/2)  subtract 1 from both sides

r=-1+34^(1/2) and -1-34^(1/2)
You might be interested in
I had a summer job cooking two items at a bbq place. I sell burgers for $9.00 and sell chicken sandwiches for $11.25. Because I
pishuonlain [190]

Answer:

He sold 180 chicken sandwiches and 150 burguers.

Step-by-step explanation:

Since 330 items were sold, then the amount of burguers and chicken sandwiches sold must be equal to this value. From this information we have:

burguers + sandwiches = 330

We know that each burguer cost $9 and each chicken sandwich cost $11.25 and that we made a total of $3,375. So we have:

9*burguers + 11.25*sandwiches = 3,375

From the first equation we have:

burguers = 330 - sandwiches

Applying it on the second equation:

9*(330 - sandwiches) + 11.25*sandwiches = 3,375

2,970 - 9*sandwiches + 11.25*sandwiches = 3,375

2.25*sandwiches = 3,375 - 2,970

2.25*sandwiches = 405

sandwiches = 405/2.25 = 180

So,

burguers = 330 - 180  = 150

He sold 180 chicken sandwiches and 150 burguers.

8 0
3 years ago
In triangles GHI and RST, ∠G ≅ ∠R, ∠H ≅ ∠S, and segment GI ≅ segment RT. Is this information sufficient to prove triangles GHI a
user100 [1]

The given information is not sufficient to prove ΔGHI and ΔRST are congruent through SSS congruence.

<h3>What is SSS congruence of triangles?</h3>

As per the SSS congruence of a triangle, if all the three sides of a triangle are equal to the all the three corresponding sides of another triangle, then the two triangles are congruent triangle.

Since one side and two angles of the triangle are given, the triangles can not be proved to be congruent as per the SSS congruence of triangles. Hence, the given information is not sufficient to prove ΔGHI and ΔRST are congruent through SSS congruence.

Learn more about SSS Congruence:

brainly.com/question/535562

#SPJ1

3 0
3 years ago
The difference between two numbers is 34. The larger exceeds 3 times the smaller by 4. Find the numbers.
svlad2 [7]

x-(3x+4)=34

x= -19

-19-(3(-19)+4)=34

-19+(57-4)=34

-19+(53)=34

-19+53=34

34=34

therefore the first number is -19 and the second number is 53


3 0
3 years ago
Can sumone help me?​
Anna [14]

Answer:

Quadrant 1 is the top right side. Quadrant 2 is top left. Quuadrant 3 is bottom left. Quadrant 4 is bottom right.

Step-by-step explanation:

<h3>You must mark the number on the quadrants starting by the middle is the axis (0). Then you count from 1 to how ever much the quadrants end. There the y axis and the x. Those are the lines that seperate the 4 quadrants. Quadrant 1 is both postive #. quadrant 2 is a negative number and a postive. depending on how the x and y are. the X axis is spostive the y is negative. Point A is (10,4) and its quadrant is 4. You must count all the boxes which go all the way up to 10. You must start in the center then either go up for Y or down. Go right or left for X. B is -8,9</h3><h3></h3><h3>I hope this helped. It took me a long time. </h3>
3 0
3 years ago
Find the area of the composite figure.
AysviL [449]

Answer:

The area will be 834.38

Step-by-step explanation:

hope it helps..

5 0
3 years ago
Other questions:
  • Find g[f(4)] if f(x) = 5x and g(x) = 3x - 7.
    6·1 answer
  • The perimeter of a square is 96 inches. if the side length is 2x + 4, what is the value of x and the length of each side?
    10·1 answer
  • How many different ways can this ray be named? What are those names?
    14·1 answer
  • 11×+2-4x-x-2<br>16-13x+24-39​
    14·1 answer
  • A social scientist is interested in determining if there is a significant difference in the proportion of Republicans between tw
    10·1 answer
  • PLZ HELP
    5·1 answer
  • Find x using pythagorean’s theorem or trigonometry
    6·2 answers
  • MARKING BRAINLIEST AND GIVING UP TO 100 POINTS FOR BEST ANSWER!!! ALL OTHERS WILL BE DELETED IF IT IS A SCAM!!!
    9·2 answers
  • FREEEEEEE POINTSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
    8·2 answers
  • Which is the equation of a line that has a slope of -2/3 and passes through point
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!