What number must you add to complete the square? x^2+26x=23

Answers

Answer 1

Answer:

169

Step-by-step explanation:

x²+26x=23

=> to complete the square, the equation should be : x²+26x + (26/2)² = 23 + (26/2)²

<=> x² +26x + 13² = 23 + 13²

<=> x² +26x +169 = 23 + 169

<=> (x+13)² = 192

so, (x+13)² is the square form , and 169 must be added to complete the square

Answer 2
x²+26x=23

For 2ab to complete in (a+b)² formula

2ab=26

a=1

2b=26b=13b²=169

So 169 must be added


Related Questions

If RT is 10 centimeters long, what is ST?

Answers

Answer:

Answer: a

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

First, find x

RT = 2x + 3x

10 = 2x+3x

10 = 5x

10/5 = 2

Now place 2 in place of x in the line ST

ST = 3x

ST = 3 * 2

ST = 6

8b - 5a + 4 for a = -4 and b = 7

If anyone gets this tysm

Answers

Answer:

80

Step-by-step explanation:

Given Question,

8b - 5a + 4

Given Values:

a = -4 and b = 7

Solution,

8(7) - 5(-4) + 4

= 56 + 20 + 4

= 80 (Ans)

Answer:

80

Step-by-step explanation:

8b - 5a + 4

a = - 4

b = 7

8(7) - 5(- 4) + 4

56 - (- 20) + 4

56 + 20 + 4

60 + 20

80

what is A big rubbing alcohol holds 2 liters . How many milliliters is this​

Answers

Answer:

it equals 2000 mililiters

Step-by-step explanation:

Melinda is selling her paintings. The graph depicits the profit she makes given the selling price of the paintings. What is the approximate average rate of change in profit per dollar selling price, when the selling price yields $0 profit to a selling price that yield the maximum profit

Answers

Answer:

The average rate of change is 28.57

Step-by-step explanation:

Given

See attachment for graph

Required

The average rate of change from 0 to maximum profit

At 0, we have:

[tex](x_1,y_1) = (32,0)[/tex]

At maximum, we have:

[tex](x_2,y_2) = (60,800)\\\\[/tex]

The average rate of change (m) is calculatd as:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

So, we have:

[tex]m = \frac{800 - 0}{60 - 32}[/tex]

[tex]m = \frac{800}{28}[/tex]

[tex]m = 28.57[/tex] --- approximated

How many inches is the circumference of this circle?

Type in your answer WITH NO LABEL, JUST THE NUMBER.

Answers

Answer:

Diameter(line going across the circle that you've given) = 6 in

Radius(half of diameter) = 3 in

Circumference(the perimeter of the circle) = 18.85 in

Area = 28.27^2

Step-by-step explanation:

In order to find the circumference, you will need to first find the radius(which is always half the size of the diameter which in this case is 3 in). You will then need to do this formula: 2 x 3.14 x 3 which equals to 18.85.

Answer:

The circumference of a circle is about 18.85 inches.

Step-by-step explanation:

The radius is always half of the diameter, and the diameter is 6 inches.

6 divided by 2 is 3, so the radius of this circle is 3 inches.

The formula for circumference of a circle is :

C = 2πr = 2 · π · 3 ≈ 18.84956

The circumference of a circle is about 18.85 inches.

(y=179x
(y=105x+2046
Solve using elimination method and graph plss
Helpppp

Answers

Answer:

[tex]x= \frac{2046}{74}\\\\y = \frac{366234}{74}[/tex]

Step-by-step explanation:

[tex]y = 179x\ ----- ( 1 ) \\\\y= 105x + 2046 \ ----- (2)\\\\[/tex]

[tex](1) => y - 179x = 0 \ ----- ( 3)\\\\(2) => y - 105x = 2046 \ ------ ( 4)[/tex]

[tex]( 3 ) - ( 4) =>\\\\(-179x +105x ) = 0 - 2046\\\\-74x = -2046\\\\x = \frac{2046}{74}[/tex]

[tex]Substitute \ x \ in ( 1 )\\\\y = 179x \\\\y = 179 \times \frac{2046}{74} = \frac{366234}{74}[/tex]

If (3y-9)^2+7=43, then what is(are the values of y?​

Answers

Answer:

y = 1 and y = 5

Step-by-step explanation:

[tex]( 3 y -9)^2 + 7 = 43\\\\((3y)^2 + (-9)^2 + 2(3y)(-9)) = 43 - 7\\\\(9y^2 + 81 -54y) = 36\\\\9y^2 -54y + 81 -36 = 0\\\\9y^2 -54y + 45 = 0\\\\9(y^2 -6y + 5) = 0\\\\y^2 - 6y + 5 = 0\\\\y^2 - 5y - y + 5 = 0\\\\y(y - 5) -1(y - 5 ) = 0 \\\\( y - 1 )( y - 5) = 0\\\\y = 1 \ , \ y = 5[/tex]

The values of y in the equation (3y-9)^2+7 = 43 are 1 and 5

How to solve for y?

The equation is given as:

(3y-9)^2+7 = 43

Subtract 7 from both sides of the equation

(3y - 9)^2 = 36

Take the square root of both sides

3y - 9 = ±6

Add 9 to both sides

3y = 9 ± 6

Divide through by 3

y = 3 ± 2

Expand

y = (3 - 2 or 3 + 2)

Evaluate

y = 1 or 5

Hence, the values of y are 1 and 5

Read more about quadratic equations at:

https://brainly.com/question/1214333

#SPJ6

use the diagram below to find all missing angles

Answers

Answer:

Step-by-step explanation:

Soooo, angle 1 is 157 degrees

That means:

Angle 2 is 23 degrees                                   Supplementary Angles

Angle 3 is 157 degrees                                  Vertical Angle to Angle 1

Angle 4 is 23 degrees                                   Vertical angle to Angle 2

Answers:

angle 2 = 23 degreesangle 3 = 157 degreesangle 4 = 23 degrees

=======================================================

Explanation:

Angles 1 and 2 are supplementary as they form a straight line. So the angles add to 180

(angle1)+(angle2) = 180

angle2 = 180-(angle1)

angle2 = 180-157

angle2 = 23 degrees

Angle 4 is congruent to this because angles 2 and 4 are vertical angles. Vertical angles are always congruent. Note how angles 1 and 4 are supplementary.  

Since angles 1 and 3 are the other pair of vertical angles, this must mean angle 3 is 157 degrees.

You Tube
A Maps
A Student Portal - My...
O VYQWAINT VS HA...
M Inbox (139) - swilks.
O GEOMETRY
Finding the side length of a rectangle given its perimeter or area
The area of a rectangular field is 3975 yd?. If the length of the field is 75 yards, what is its width?
yards
Х
?

Answers

Answer:

53 yds

Step-by-step explanation:

Its just 3975 divided by 75

Plzzz someone help i just need the formula

Answers

Answer:

[tex]S(y)=36000*(1+0.03)^{y}[/tex]

Step-by-step explanation:

Answer:

y=36,000×1.03^x

Step-by-step explanation:

Find f(0) if f (x) = log base 10 of 10 + 9^x + (x - 2)(x - 1)

Answers

Answer:

Step-by-step explanation:

the ratio of the following 30 minutes to 2 hours.

Answers

Answer:

30 minutes to 120 minutes.

Step-by-step explanation:

Answer:

2 hrs=120 min

30:120=1:4

Step-by-step explanation:

ans is 1:4

marke brainliest plzzzzzzz

What is the surface area and volume of the sphere shown below?
Your response should show all necessary calculations and diagrams.

Answers

Answer:

ur mom

Step-by-step explanation:

doin doin

What is the value of k in the linear pair below?
A straight line. A line comes out of the line to form angles 104 degrees and k.
A. 14 degrees
B. 76 degrees
C. 104 degrees
D. 180 degrees

Answers

B. I do know if it’s a triangle but 180 degrees is what you need to get to so 104+76=180

PLS HELP ASAP! FIND THE VOLUME OF X.

Answers

Answer:

Step-by-step explanation:

5x + 150 = 180

5x = 30

x = 6

Hope this help!!!

Have a nice day!!!


To prove ABC= ADC, To prove which triangle postulate could you use?

SSS
SAS
ASA
AAS

Answers

Answer:

ASA

Step-by-step explanation:

..................

To prove ABC = ADC, We use ASA triangle postulate.

What is congruency?

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

The similarity of triangles on the other hand is when the corresponding angles are equal but the corresponding sides are not equal but they have the same common ratio.

From the given diagram a quadrilateral ABCD is given,

Line segment AC divides quadrilateral ABCD into two triangles namely

ABC and ADC, and both have a common side AC.

m∠BAC ≅ m∠DAC and m∠BCA ≅ m∠DAC.

Therefore, Triangle ABC and ADC are congruent by ASA, with two angles and a side included between them.

learn more about congruency here :

https://brainly.com/question/7888063

#SPJ7

Find the perimeter of each figure select the figure that have a perimeter of 20 units

Answers

it would have been helpful if you put the picture
23 perimeter units is the answer



Jared flicked the arrow on this spinner four times, and the arrow landed on green each time. If Jared spins the arrow a fifth time what is the theoretical probability that it will land on green

Answers

Answer:

The correct answer would be 3/8.

Step-by-step explanation:

There are 3 greens on this spinner , and 8 in total , so there’sa probability of 3% that the arrow will land on green again .

The theoretical probability that it will land on green is 1.

What is the probability?

It is the likeliness of happening an event. It is calculated by the following formula:

Probability=number of events/number of total events.

How to calculate the probability?

Jared had flicked the arrow all the four times on the green ,it means that the probability that it is landed on green each time is 100%. So the probability that it will land on green fifth time also is 1.

Learn more about probability at https://brainly.com/question/25870256

#SPJ2

Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.
5
60°
10
x
Not drawn to scale

Answers

Answer:

D

5 sq.rt. 3

Step-by-step explanation:

use the pythagorean theorem: a^2 + b^2 =c^2

5^2 + x^2 = 10^2

25+ x^2 =100

x^2 = 100 - 25

x^2 =75

x = [tex]\sqrt{75}[/tex]

x = 5 [tex]\sqrt{3}[/tex]

1. For each of 200 randomly selected cities, Gary recorded the number of churches
in the city (x) and the number of homicides in the past decade (y). He calculated
the linear correlation coefficient and was surprised to find a strong positive linear
correlation for the two variables. Does this suggest that building new churches
causes an increase in the number of homicides? Why do you think that a strong
positive linear correlation coefficient was obtained? Explain your answer with
reference to the term lurking variable.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

When certain variables are examined, there seems to be a sort of spurious relatuoshipnornassocuation between the two variables, this is evident in the relationship between churches and the number of homicide, when a strong positive correlation is observed between number of churches and number of homicides, this relationship is most likely to be due to the effect of a lurking or third variable which creeped into our analysis, a factor which has a posithe correlation on both number of churches and homicide level, Number of homicide and number of churches could have been correlated by the lncreasing population which may lead to overcrowding and competition Hence increasing rate of homicide, similarly, with high rise in population, the growth of church to accommodate the populees will also creep in.

the ratio of A:B is 3:4, the ratio of C:D is 1:2, the ratio of B:C is 2:5 What is the ratio of A:D?

Answers

The answer is attached. I hope this helps answer your question!

If bob gives away 7 blocks, he will have 12 left. How many blocks did he have originally

Answers

Answer:

h

Step-by-step explanation:

19 blocks

Answer:

original blocks  =19

Step-by-step explanation:

original blocks -7 =12

Add 7 to each side

original blocks -7+7 =12+7

original blocks  =19

how to write expression for The product of ten less than a number and the number

Answers

Answer:

x-10

Step-by-step explanation:

ten is less than x

follow me for more answer

The summit of a volcano is 5 kilometers (km) above sea level, as shown below.
If the ocean floor has an elevation of -5 kilometers, which statement describes
the distance of the summit and the ocean floor?
It's not 0 or 5

Answers

Well 5 is -10 km away from -5. We can further prove this by adding -5 + 10, giving us 5. Answer is 10!

Can you help and do it step by step

Answers

Answer:

$4800

Step-by-step explanation:

SI=PRT DIVIDED BY 100..

So it is going to be 400×2×6 divided by 100 which will be 4800

A rectangle is 1 1/2 length and 4 1/4 width what is the area of rectangle




The numbers are a whole and a fraction that’s why there is a space

Answers

Answer:

6 3/8 units

Step-by-step explanation:

1 1/2* 4 1/4= 6 3/8

Simplify: -8x +7-5-5x + 5x
A
- 8x + 2
B
-18x+12
-x-5
D
-X+12

Answers

Answer:

A) -8x+2

Step-by-step explanation:

-8x + 7 - 5 - 5x + 5x

-8x -5x + 5x + 7 - 5

- 8x+2

Find the slope from the given equation. 9y = -3x + 5

Answers

Answer:

-3/9x

Step-by-step explanation:

You rearrange for 'y' so divide both sides by it's coefficient which is 9.

Answer:

The slope is -1/3

What conclusion can be determined from the dot plot below? A dot plot showing two dots above 6, 7, 8, 9 and 10 each. (3 points) a The number of observations is 5. b The median of the data set is 5. c The mean of the data set is 8. d The range of the data set is 8.

Answers

Answer:

C. The mean of the data set is 8.

Step-by-step explanation:

From the dot plot we can make a frequency table as follows:

Number of books read                      Frequency

       6                                                       2  

       7                                                       2

       8                                                       2

       9                                                       2

       10                                                      2

Since, the number of dots are  10 or then sum of the frequencies is 10.

           Hence, the number of observations are 10.

Also, the median of the set is: 8

Now, the mean is calculated as:

                  Hence, Mean of the data set is: 8

Now, the range of the data set is the difference between the minimum and the maximum value.

                  Hence, range=10-6=4

           The range of the data set is 4.

Answer:

c

Step-by-step explanation:

A grocery store manager notices that this month her store sold a total of 521 gallons of ice cream, which represents a decrease of 10% from last month. On the other hand, her store sold 791 pounds of broccoli this month, which represents an increase of 25% from last month. How much ice cream and broccoli did the store sell last month? Round your answers to the nearest integer.

Answers

Answer:

Last month the grocery store sold 578.88 gallons of ice cream and 632.8 pounds of broccoli.

Step-by-step explanation:

Since a grocery store manager notices that this month her store sold a total of 521 gallons of ice cream, which represents a decrease of 10% from last month, and on the other hand, her store sold 791 pounds of broccoli this month, which It represents an increase of 25% from last month, to determine how much ice cream and broccoli did the store sell last month, the following calculation must be performed:

Ice cream = 100 - 10 = 90

90 = 521

100 = X

100 x 521/90 = X

52,100 / 90 = X

578.88 = X

Broccoli = 100 + 25 = 125

125 = 791

100 = X

100 x 791/125 = X

79,100 / 125 = X

632.8 = X

Therefore, last month the grocery store sold 578.88 gallons of ice cream and 632.8 pounds of broccoli.

Other Questions
Thank you everyone for helping me this year to get good grades I am giving points. What is the expected constant growth rate of dividends for a stock currently priced at Php 50, that is expected to pay a dividend of Php 5 next year, and has a required return of 20%? Find the sum1/(1x3) + 1/(2x4) + 1/(3x5) + .... + 1/(98x100) cu hnh electron ca nguyn t Ca -WRITE THE FOLLOWING SENTENCES AND WRITE THE CORRECTNTUATIONS:1. Our teacher said we must bring socks shoes t-shirts and shorts2. I wanted to take biscuits sweets fruits and chips for thejourney How are the functions of the brain and heart different? (2 points) aThe brain cleans the blood before it is distributed to all parts of the body, while the heart passes oxygen into the blood. bThe brain pumps blood to all parts of the body, while the heart filters the blood before it is distributed to all parts of the body. cThe brain reduces the sugar level in the blood, while the heart helps break down the food into smaller pieces. dThe brain sends and receives messages through the spinal cord and the nerves, while the heart pumps blood to all parts of the body. Deep devotion to or extreme pride in ones nation hi can somebody plz help me How does the geography of Mississippi contribute to the high occurrence of hurricanes Select the gramatically correct sentence. A.Veo Isabella B.Yo veo a Isabella C.A yo veo Isabella D.Yo veo Isabella. What impact does the use of rhyme have on the poem The sky is low? A) The rhyme creates a powerful emotional effect. B) The rhyme creates a drowsy, monotonous effect. C) The rhyme creates a musical effect, as in a song. D) The rhyme creates a conversational effect, as in dialogue Find z such that 3.8% of the standard normal curve lies to the left of z. (Round your answer to two decimal places.) Match the vocabulary word to its correct definition1. arithmetic sequencean individual quantity or number ina sequencethe fixed amount added on to get2. common differenceto the next term in an arithmeticsequencea sequence in which a fixed3. sequenceamount is added on to get the next terma set of numbers that follow a4 termpattern, with a specific first number answer choices: a. 66b. 53 c. 87d. 73 Will give brainliest if correct!! 34 Minutes. 34 SeconWhich of the following is NOT true of incentives's role in a free market economy?They may lead to both higher production and higher consumption.They reward consumers for brand loyalty and buying consistency.They offset opportunity costs for both producers and consumers.They serve to motivate individuals by rewarding efficiency. Please help me The question is at what rate did rain fall The diameter of a circle is 15 in. Find its circumference in terms of \pi Which is the most likely counterclaim that theopposition will use?required by lawO The passing of a new law is an interesting andcomplex process to witness.O Making people vote will result in uneducated voterswho vote randomly.O Voting makes citizens more engaged in the politicalevents that affect them.O Citizenship is a privilege that people should respectby doing their civic duty. The LCM of three numbers is 360 and the GCD of the same numbers is 2.If one of the numbers is 40.Find the other 2 numbers