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
Sphinxa [80]
3 years ago
10

Give an example of how you would solve an equation by completing the square. Describe the steps.

Mathematics
1 answer:
klemol [59]3 years ago
4 0

Answer:

Step-by-step explanation:

to solve an equation by completing the square in a quadratic formula

f(x)=ax²+bx+c

example :x²-6x-16=0

first rearrange if necessary, move the constant to one side .

x²-6x=16

second you find a new term to complete the square which is (b/2)², and add the term to both sides.(6/2)²=3²=9

x²-6x+9=16+9

x²-6x+9=25

third  factorize : find the common factor between 6 and 9 which is 3

x²-6x+9=25

(x-3)²=25

last solve for x: (x-3)²=25

x-3=√25

x=3±5

x=3+5=8 or 3-5=-2

You might be interested in
1.morgan is 15 years old younger than Mrs.santtos their combined age is 442. jenny won the ping-pong championship eight more tim
swat32
If Morgan is 15 years younger then Mrs.Santos and there combined age is 442 that means that Mrs.Santos is 221, and Morgan is 206.
8 0
3 years ago
Apply the zero matirx:<br> [16 -24] + [ 0 0 ]=[ x y]<br> X=? Y=?
Ainat [17]

Answer:

x = 16

y = -24

Step-by-step explanation:

Recall that the addition of matrices is done when matrices are of the same dimension. In this case, you are in fact adding matrices of the same dimension (dimension 1x2). Recall as well that in the addition of matrices, the elements of each matrix combine only with the element located in the exact same position in the other matrix.

So for this case the first element of the first matrix "16" combines with the first element of the second matrix "0" resulting in an element of value16 + 0 =16 in the new matrix.

Equally, the second element of the first matrix "-24" combines with the second element of the second matrix, resulting in : -24 + 0 = -24.

Therefore, the matrix resultant from this addition is: [16   -24] (same form of the first matrix, which indicates that adding a zero matrix to an existing matrix will not change the first matrix.

5 0
3 years ago
9.2 Multiplying and Factoring Polynomials 8m ( m+6 )
poizon [28]
You would multiply 8m by m and 6 separately. it would be 8m^2 + 48m
7 0
3 years ago
Nine scores have an average of 8. Scores x and x+1 are added, and these increase the average to 9. Find x
Degger [83]

Answer:

x must be 13

Step-by-step explanation:

Represent the nine scores by a, b, c, d, e, f, g, h, i.

Write the following equation to indicate that the average of these nine scores is 8:

a+b+c+d+e+f+g+h+i

----------------------------- = 8, or <em>a+b+c+d+e+f+g+h+i = 72</em> if we multiply both

               9                      sides of this equation by 9.

Next, we add scores x and x+ 1 to

a+b+c+d+e+f+g+h+i  +  x + x + 1

and divide the result by 11, as there are now 11 scores instead of just 9:

a+b+c+d+e+f+g+h+i  +  x + x + 1

----------------------------------------------

                        11

Earlier, we saw that a+b+c+d+e+f+g+h+i = 72.  We can now replace

a+b+c+d+e+f+g+h+i in the above fraction by 72:

 72 + 2x + 1

------------------- = 9 (as the new average is 9)

         11

Multiplying both sides of this equation by 11 results in:

73 + 2x = 99, or  2x = 26.

Then x must be 13, and x + 1 must be 14.

3 0
3 years ago
A rectangular metal plate is measured to be 7.6cm long and 3.1cm wide, both correct to one decimal place.
ElenaW [278]

Answer:

We know that the rectangular plate has measures of:

length = 7.6 ± 0.05 cm

width = 3.1 ± 0.05 cm

(the error is 0.05cm because we know that both measures are correct to one decimal place)

First, the upper bound of the length is equal to the measure of the length plus the error, this is:

L = 7.6 cm + 0.05 cm = 7.65 cm

The upper bound of the area is the area calculated when we use the upper bound of the length and the upper bound of the widht.

Remember that the area for a rectangle of length L and width W, is:

A = W*L

Then the upper bound of the area is:

A = (7.6cm + 0.05cm)*(3.1cm + 0.05cm) = 10.8 cm^2

5 0
3 years ago
Other questions:
  • Evaluate <br> e^-2to one decimal place.
    12·1 answer
  • Intersecting lines are ________ coplanar.<br><br> never<br> sometimes<br> always
    14·2 answers
  • What is the slope of the line that passes through (5,4) and (7,10)?
    9·1 answer
  • What is the sum of (2a - 3b) and (5b - a)
    15·1 answer
  • Two roommates, roommate X and roommate Y, are expecting company and are arguing over who should have to wash the dishes before t
    9·1 answer
  • Please help! 15 points to whoever graphs and solves it!
    13·1 answer
  • How do u make lean purple and how does it get purple and instructions??!!
    11·1 answer
  • If 18 out of 40 snacks are sweet how many sweet snacks will there be per 100 snacks
    14·2 answers
  • Trevin puts 8 gallon of gas
    8·2 answers
  • How long is the arc intersected by a central angle of startfraction pi over 3 endfraction radians in a circle with a radius of 6
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!