If using the method of completing the square to solve the quadratic equation x^2+11x-38=0 which number would have to be added to "complete the square"?

Answers

Answer 1

Answer:

121/4

Step-by-step explanation:

To complete the square, we have to work with the coefficient of x

We have to divide the coefficient of x by 2, square it and add it to both sides

So we divide 11 by 2; which is 11/2; then square it

we have this as 121/4

This number is what we are going to have added

Answer 2

Answer:

           You need to add   [tex]\dfrac{121}4[/tex]

Step-by-step explanation:

[tex]x^2+11x-38=0\\\\x^2+2\cdot\frac{11}2x-38=0\\\\\underline{x^2+2\cdot x\cdot\frac{11}2+\bold{\big(\frac{11}2\big)^2}}-\big(\frac{11}2\big)^2-38=0\qquad\qquad\qquad\{\big(\frac{11}2\big)^2=\frac{121}4\}\\\\ \big(x+\frac{11}2\big)^2-\frac{121}4-\frac{152}4=0\\\\ \big(x+\frac{11}2\big)^2-\frac{273}4=0\\\\ \big(x+\frac{11}2\big)^2=\frac{273}4[/tex]

[tex]x+\frac{11}2=\pm\frac{\sqrt{365}}2 \\\\x=\frac{-11\pm\sqrt{365}}2[/tex]


Related Questions

Terry has a number cube that is numbered from 1 to 6. She rolls the cube 50 times. Which equation can be used to predict the number of times that she will roll a number that is greater than 4?
(options in picture)
I have around 40 minutes so its not too much of a rush, Thank you! :)​

Answers

Answer:

P(number greater than 4) = 1/6(50)

In numbers 1 to 6 only 5 and 6 are greater than 4.

Hence, the probability that she will get a number greater than 4 is 2 out of 6 or 2/6.

________________________________

The probability that she'll get more than 4 if she throws the dice 50 times–

The probability that she'll get more than 4 if she throws the dice 50 times–

= 50 × 2/6

________________________________

Hence, your answer will be–

Hence, your answer will be–P( Number greater than 4 ) = 2/6 (50)

PLEASE ASAP ILL GIVE BRAINLIEST.

Answers

Answer:

5 N towards north I think

Step-by-step explanation:

What is the distance between the two points 5,3 and (1,0)?

Answers

Answer: The distance between (5,3),(1,0) is 25units square.

Step-by-step explanation:

So, I usually plot the points, and conect them first.

And then I draw a right triangle, so draw two line that conect to the line that we need to find the distance, and form a triangle. Make sure that the line from point (5,3)(1,0) is the Pythagorean triples.

Next, you count the units of the two line that makes a right angle. which is 4 units for the first line, and 3 units for the second.

Thirdly, you plug the numbers into the Pythagorean equation, which is a^2+b^2=c^2 (plug it into a and b, it doesn't matter which number for which letter)

4^2+3^2=c^2

16+9=c^2

25=c^2

[tex]\sqrt{25}[/tex] = [tex]\sqrt{c}[/tex]

c=25

My explanation is kinda confusing, sorry about that.

he entrance fee to the children’s museum was a total of $46.00 for eight tickets. The model below shows the relationship. What was the entrance fee for one ticket?



a
$5.75

b
$5.25

c
$6.25

d
$7.00

Answers

the answer would be A if you divide 46/8

Help me! The question is in the image

Answers

Water Unit Price: $1.50 Total for 2: $3
Apple Unit Price: $2 Total for 2: $4
Nuts Unit Price: $3 Total for 2: $6
Juice Unit Price: $1.33 Total for 2: $2.66
The total price for everything is $15.66

Given m || n, find the value of x and y.
m(2y+19)
n(5x+28)(4x-11)

Answers

Answer:

[tex]m || n \\ (4x - 11) + (5x + 20) = 180 \\ 9x + 9 = 180 \\ 9(x + 1) = 180 \\ x + 1 = 20 \\ x = 19 \\ \\ then \\ (4x - 11) = (2y + 19) \\ (4 \times 19 - 11) = (2y + 19) \\ 65 = 2y + 19 \\ 2y = 46 \\ y = 23[/tex]

A triangle has an area of 153.79 square centimeters and a base of 18.2 centimeters. What is the height?

Answers

The correct answer is 16.9

Answer:

16.9

Step-by-step explanation:

please help due in 10 minutes

Answers

Answer:

Mostly likely 12

Step-by-step explanation:

The higher the age, the more pages...

After a age you can see it goes up half of a row in the pages...

It is most likely 18 or 12...

More likely 12

In the diagram below, 'AB is parallel to cd. What is the value of y?

Answers

60 jdfjbdjdjdjd ah inebauwkwhiwiwnais

Answer:

60

Step-by-step explanation:

HELP ME PLSSS. ANSWER NEEDS TO BE EXPLAIN STEP BYE STEPS.CORRECT ANSWER WILL BE BRAINLIST.

Answers

Solution given.

Volume of rectangular prism=2400cm³

area of base*height=2400cm³

For A

satisfied for all

for B

not satisfied for all

for C

not satisfied for all

for D.

not satisfied for all

Option A.is your answer.

What is value of the expression (6^1/2)^2

Answers

Answer:

6

Step-by-step explanation:

Which of the following functions translates the graph of the parent function
f(x)=x2f(x)=x2
horizontally left 8 units?

Answers

Answer:

(x + 8)^2

Step-by-step explanation:

f(x) ----> f(x + 8)

order these numbers from least to greatest​

Answers

Answer:

-17 9/26 - > -17.35 , -17.3 with the mark over  ,- [tex]\sqrt{300}[/tex]   , 172/10

Step-by-step explanation:

Convert all of these into decimals

- [tex]\sqrt{300}[/tex]  -> -17.32

-17 9/26 - > -17.35

172/10 -> 17.2

-17.3 with the mark over 3 is  ->- 17.3333

Now arrange

-17 9/26 - > -17.35 , -17.3 with the mark over  ,- [tex]\sqrt{300}[/tex]   , 172/10

PLZ HELP ME YOU WILL GET GOOD KARMA PLZZZZZZ

Answers

Answer:

I recommend trying this it explains how to do it and gives you the answer

hii! please help asap. i’ll give brainliest

Answers

Answer: B

Step-by-step explanation:

the correct answer your looking for is B

Find the volume of the composite figure.

Answers

Answer: 290 cubic meters

Step-by-step explanation: First, find the volume of each figure. 3 x 6 x 5 = 90, and 5 x 5 x 8 = 200. 90 + 200 = 290

Chris is six years older than his sister Kennedy. The sum of their ages is 38. Write an equation to find Chris and Kennedy's ages. Make certain that you indicate what the variable represents.

Answers

Answer:16 , 22

Step-by-step explanation:

Given

Chris is six-year older than his sister

The sum of their ages is 38

Suppose the age of Chris sister is x

So Chris age is [tex]x+6[/tex]

the sum is

[tex]\Rightarrow x+x+6=38\\\Rightarrow 2x+6=38\\\Rightarrow 2x=32\\\Rightarrow x=16[/tex]

Chris age [tex]16+6=22\ \text{years}[/tex]

Chris sister  Kennedy's age [tex]16\ \text{years}[/tex]

Can somebody please help me

Answers

Answer:

39

Step-by-step explanation:

78/2 = 39

Camila wanted to create a second garden to grow even more vegetables. To determine the dimensions of her second garden, she used a horizontal scale factor of 75% and a vertical scale factor of 150% . The horizontal measurement of the second garden is

Answers

Answer:

Step-by-step explanation:

How do i do this, i need to find an answer fast

Answers

Answer:

y = 5√3

x = 10√3

Step-by-step explanation:

From the given sides

Adjacent = 15

Opposite = y

Hypotenuse = x

Angle of depression = 30degree

Using the SOH CAH TOA identity

tan theta = opp/adj

tan 30 = y/15

y = 15tan30

y = 15(1/√3)

y = 15√3/3

y = 5√3

Similarly

cos theta = adj/hyp

cos 30 = 15/x

x = 15/cos30

x = 15 /√3/2

x = 30/√3

x = 30√3/3

x = 10√3

Find the values of x and y

Answers

Answer:

x = 54, y = 63

Step-by-step explanation:

117° and the left base angle are adjacent and sum to 180°

base + 117° = 180° ( subtract 117° from both sides )

base = 63°

Since the triangle is isosceles ( congruent legs ) then the 2 base angles are congruent , so y = 63

and x = 180 - (63 + 63) ← sum of angles in a triangle

x = 180 - 126 = 54

Select all the true statements.

A. 2 + (−2) is equal to zero.

B. (−3) + (−4) is positive.

C. −2 − (− 2) is positive.

D. 5 + (−2) is positive .

E. 7 − (−10) is negative.

Answers

Answer:

A and D

Step-by-step explanation:

Answer:

A. 2 + (−2) = 2 - 2= 0, true.

B. (−3) + (−4) = - 3 - 4 = -7 is negative, False

C. −2 − (− 2) = -2 + 2 = 0, neither positive nor negative, false.

D. 5 + (−2) = 5 - 2 = 3,is positive true.

E. 7 − (−10)= 7 + 10 = 17  is psoitive, false

options : A, D

The table shows the median annual salaries of a librarian associated with two levels of education.



Based on the data in the table, how much more money would a person with a master’s degree earn than a person with a bachelor’s degree over 15-year career?

Answers

Answer:

C) $160,500

Step-by-step explanation:

52,500×15=787,500

63,200×15=948,000

948,000- 787,500= 160,500

A sphere fits inside a cube with the sphere's diameter equal to the width of the cube, 20 centimeters. What is the volume of the cube not filled by the sphere? Round to the nearest cm³


A) 3813cm³
B) 3225cm³
C) 4079cm³
D) 3546cm³

Answers

Answer is 3813cm^3

First, find the volume of the sphere and cube.

Volume of sphere:
4/3 x pi x radius^3
4/3 x pi x 10^3
Sphere volume = 4188.790205

Volume of cube:
Length x width x height
20 x 20 x 20
Cube volume = 8000

Afterwards, subtract the volume of the cube by the volume of the sphere.

8000 - 4188.790205 = 3811.209....

The volume of the cube not filled by the sphere is 3811.209. Option A is the correct.

What is volume?

The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic m.

The volume of sphere is found as;;

[tex]\rm V_{sphere}= \frac{4}{3} \pi r^3 \\\\ V_{sphere}= \frac{4}{3} \times 3.14 (10)^3 \\\\ V_{sphere}= 4188.79 \ cm^3[/tex]

The volume of cube is found as;

Volume of cube = Length x width x height

Volume of cube =20 x 20 x 20

Volume of cube = 8000

The volume of the cube not filled by the sphere is found by subtract the volume of the cube by the volume of the sphere.

V=8000 - 4188.790205

V = 3811.209

The volume of the cube not filled by the sphere is 3811.209.

Hence, option A is the correct.

To learn more about the volume, refer to the link;

https://brainly.com/question/13338592

#SPJ2

If x>0 and y<0 where is the (x,y) point located

Answers

Answer:

If x > 0 and y < 0, the point (x, y) must be located in Quadrant IV.

Hope it helps

*35 BRAINLY POINTS! BRAINLIEST TO THE FIRST CORRECT PERSON!*

The table below shows the cost of a pizza based on the number of toppings. (attached)
Which function represents the cost of a pizza with n toppings?

C(n) = 12 + n

C(n) = 1.5n + 12

C(n) = 12 + 1.5(n – 1)

C(n) = 12n

Answers

Answer:

C(n) = 12 + 1.5(n – 1)

Step-by-step explanation:

why is this true 7a+4-2a=7a+ -2a+4​

Answers

Answer:

Step-by-step explanation:

Notice that both sides involve 7a - 2a, and both involve 4.  By the associative property the order in which the addends appear is immaterial; the left side therefore equals the right side.

Answer:

7a + 4 - 2a = 7a - 2a + 4

5a + 4 = 5a + 4

Step-by-step explanation:

7a + 4 - 2a = 7a - 2a + 4

​7a + 4 - 2a

Rearrange the terms.

7a - 2a + 4

Combine like terms.

5a + 4

The left side simplifies to 5a + 4.

7a - 2a + 4

5a + 4

The right side also simplifies to 5a + 4.

1 and 2 are complementary angles. The measure of 1 is 62 degrees. The measure of 2 is 2x degrees. Find the value of x. The figure is not drawn to scale. The value of x is ?

Answers

Complementary = 90 degrees
Measure 1 + measure 2 = 90
62 + 2x = 90
2x = 28, x = 14

Solution: x = 14

What is the mean of 53,13,34,41 26,61,34,13,69?

Answers

the mean is 38.2
the 2 is repeating

Plz help me and plz no links first person to answer it correctly will get brainliest

Answers

Answer:

B

Step-by-step explanation:

The standard form of a circle equation is:

(x - h)^2 + (y - k)^2 = r^2

where (h, k) is the center and r is the radius.

We can plug in the given values to get:

(x - 1)^2 + (y - 2)^2 = 3^2

This is the sam as option B

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