what number must you add to complete the square?

x^2+14x=3

Answers

Answer 1

Answer: 49

Step-by-step explanation: In order to complete the square, you need a perfect square trinomial on the left side of the equation.

The question is, what is the number we need?

Well it comes from a formula. The number that is added to both sides

comes from half the coefficient of the middle term squared.

So that's half of 14 which is 7, squared which is 49.


Related Questions

Lucy has a homework assignment and she must solve the equation
-7x + 2 = 51.

Answers

Answer:

x = -7

Step-by-step explanation:

-7x + 2 = 51

-7x = 51 - 2

-7x = 49

x = -7

Insta: 25k_kem

Find the area of these triangles please! Greatly appreciated if you do.

Answers

Answer:

11. 35 ft²

12. 24 cm²

13. 18 ft²

14. 28 in²

15. 9 in²

Step-by-step explanation:

11. A= (b×h)÷2

= (10×7)÷2

= 70 ÷ 2

= 35 ft²

12. A= (b×h)÷2

= (8×6)÷2

= 48 ÷ 2

= 24 cm²

13. A=(b×h)÷2

=(9×4)÷2

= 36 ÷ 2

= 18 ft²

14. A=(b×h)÷2

=(7×8)÷2

= 56 ÷ 2

= 28 in²

15. A=(b×h)÷2

=(3×6)÷2

= 18 ÷ 2

= 9 in²

Good luck ^_^

Hope this answer your question

What percent is 45 out of 70

I’m so sorry to bother you guys I have been stuck on this problem

Answers

64.285714285714% that should be the answer

Find the sum 7/10 + 20/100 as a fraction

Answers

Answer:

9/10

Step-by-step explanation:

=

7

10

+

20

100

=

7

10

+

1

5

=

7

10

+

2

10

=

7+2

10

=

9

10

(Decimal: 0.9)

Answer:

[tex]\frac{9}{10}[/tex]

Step-by-step explanation:

[tex]\frac{20}{100} = \frac{2}{10}[/tex]

[tex]\frac{7}{10} + \frac{2}{10} = \frac{9}{10}[/tex]

Use the formula to determine the slope of the line containing the two points (-6,6) and (-3,4)

A. -2/3
B. 7/12
C. -3/2
D. -2/9

Answers

4-6
-3-(-6)
-2/3
-2/3 is the slope
A. -2/3 is the slope and answer.

a dog walks 696 steps in 12 minutes. how many steps in 12 minutes

Answers

Answer:

696 steps

Step-by-step explanation:

Solve for y by using the inverse (opposite) operation.

−47y=−8

Answers

Answer:

y=14

Step-by-step explanation:

solve for y by simplifying both sides of the equation then insolating the variable


Find 9079 + 1232 + 9786.

Answers

The answer is 20,097

In the diagram, triangle MNO maps to triangle M'N'O'.
Identify the corresponding angles.

Answers

Answer:

B and A

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

Answer:

M' and N'O'

Step-by-step explanation:

How many lines of symmetry are there in the object pictured below?

A. 0
B. 2
C. 3
D. 1

Answers

THE CORRECT should be ANSWER IS D

4. Find the value of 8 + 12 + 4 + 6 x 1 + 2. Guys I am doing a test and I need help!!

Answers

32 is the correct answer I believe if using PEMDAS method

f(x) = 7x² + 21x - 70
factor

Answers

Answer:

Step-by-step explanation:

f(x)=7(x^2+3x-10)=7(x+2)(x-5)

367589+667556755788654578645

Answers

Answer: 667556755788655000000

Step-by-step explanation: braniliest pls

Investment: Suppose that you and 3 friends bought equal shares of an investment for a total of $20,000 and then sold it later for only $19,600. How much did each person lose?
Please help me

Answers

Answer:

$29.4294294294

Step-by-step explanation:

Please someone help me ASAP

Answers

Answer:

A

Step-by-step explanation:

FV=PV(1+i)^t

2500(1+.03)^4

A

Answer:

A

Step-by-step explanation:

It is the only one that shows 3% = 0.03 which is correct.

Can some one help me plz I really need help

Answers

1. 2x + 50 = 100
subtract 50 on both sides and then divide by 2.

x = 25

180 - 100 = 80

m
2. 7x - 4 = 87
add 4 on both sides and divide by 7.

x = 13

180 - 87 = 93

m
3. 5x - 2 = 38
add both sides by 2 and divide by 5.

x = 8

180 - 38 = 142

m
4. 14 + 6x = 134
subtract both sides by 14 and divide by 6.

x = 20

180 - 134 = 46

m
5. x = 53

m
6. x = 14

m

a local pet care center pays you $8 per hour to walk dogs. last summer you worked 36.75 hours a week. what was your total weekly straight time pay for one week?

Answers

Answer:

$294

Step-by-step explanation:

8(36.75) = $294

Answer:

294

Step-by-step explanation:

8(36.75)

= $294

A recipe for sparkling apple juice calls for 3 quarts of sparkling water and 2 quarts of apple juice. How much sparkling water would you need to mix with 8 quarts of apple juice? (NC.7.RP.1) *

Answers

Answer:

Step-by-step explanation:

12

50 POINTS! SHOW WORK OR ILL REPORT

Answers

Answer:

The larger angle <K, has a measure of 120 degrees.

Step-by-step explanation:

So, a supplementary angle are two or more angles that combine to form a 180 degree straight line.  So here, we need to set up an algebra equation.

2x = the larger angle (because it's two times the smaller angle)

x = the smaller angle

So then, you need to set both equal to 180 degrees, since combine they equal 180 degrees

2x + x = 180

3x = 180

x = 60

Using basic algebra, we see that the smaller angle is 60 degrees, but wee need to find the larger angle.  Remember, we represented the larger angle as 2x.  

2 time 60 is 120, so the larger angle is 120 degrees

Hope that helps :)

Amanda is researching her ancestry. She records names and birth dates for her parents, their parents and so on, in an online research tool. If she can locate all of the information, how many names will Amanda record in the generation that is 5 generations before her?

Answers

Answer:

Step-by-step explanation:

Amanda will record 32 names for the five previous generations.

What is a mathematical function, equation and expression?                function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is that Amanda is researching her ancestry. She records names and birth dates for her parents, their parents and so on, in an online research tool.

We can write the series as -

               Amanda

     {M}                        {F}

{M}       {F}             {M}       {F}

.

.

so on

We can write the sequence as -

2, 4, 8, ....

It is a geometric sequence. For n = 5, we can write -

a(5) = arⁿ⁻¹

a(5) = 2 x (2)⁴

a(5) = 2⁵

a(5) = 2 x 2 x 2 x 2 x 2

a(5) = 32

                                           

Therefore, she will record 32 names for the five previous generations.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ2

Solve for x. 6/x+ 2/5 = 8

Answers

Answer:

15/19

Step-by-step explanation:

6/x +2/5 = 8

(multiply through by x)

6 + 2x/5 = 8x

(minus 8x from both sides)

-38x/5 + 6 = 0

(subtract 6 from both sides)

-38x/5 = -6

(times by -1)

38x/5 = 6

Times 6 by 5 and then divide by 38.

=15/19

Answer:-

[tex]\pink{\bigstar}[/tex] Value of x [tex]\large\leadsto\boxed{\tt\purple{\dfrac{15}{19}}}[/tex]

• Given:-

[tex]\sf \dfrac{6}{x} + \dfrac{2}{5} = 8[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• To Find:-

Value of x.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• Solution:-

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf \dfrac{6}{x} = 8 - \dfrac{2}{5}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Taking L.C.M:-

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf \dfrac{6}{x} = \dfrac{40-2}{5}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf \dfrac{6}{x} = \dfrac{38}{5}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Cross multiplying:-

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf 6 \times 5 = 38 \times x[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf 30 = 38 \times x[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Taking x term one side:-

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf x = \dfrac{30}{38}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Simplifying the fraction:-

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\large{\bold\red{x = \dfrac{15}{19}}}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Therefore, value of x is 15/19.

Which statement best describes the electric field around a positive charge?
A. Pairs of parallel lines with arrows that point inward extend from
the charge
B. Pairs of perpendicular lines with arrows that point outward extend
from the charge
C. Lines with arrows that point outward radiate from the charge in all
directions.
D. Lines with arrows that point inward radiate from the charge in all
directions

Answers

Answer:

C. Lines with arrows that point outward radiate from the charge in all

directions.

The statement which best describes the electric field around a positive charge is  Lines with arrows that point outward radiate from the charge in all directions, the correct option is C.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that;

The four options

Now,

This is because the electric field at a point in space is in the direction of the force that the electric field would exert on a positive test charge if there were a positive test charge at that point in space1. Because positive charges repel each other, the electric field around an isolated positive charge is oriented radially outward.

Therefore, by unitary method the answer will be Lines with arrows that point outward radiate from the charge in all directions.

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ2

Look at the formula for finding distance. Which of the following is the formula to find time? [picture included] ​

Answers

Answer:

A.

Step-by-step explanation:

Answer:

[tex] \huge \: \boxed { \boxed{ \red{ a)t = \frac{d}{r}}}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:equationPEMDASgiven:[tex]d = rt[/tex]to find[tex]t[/tex]let's solve:

[tex]step - 1 :define[/tex]

[tex]d = rt[/tex]

[tex]step - 2 : solve[/tex]

[tex]rewrite : \\ rt = d[/tex][tex]divide \: both \: sides \: by \: r : \\ \frac{rt}{r} = \frac{d}{r} [/tex][tex]simplify : \\ t = \frac{d}{r} [/tex]

[tex] \huge \: \boxed { \boxed{ \red{ \therefore t = \frac{d}{r}}}}[/tex]

Ira and his wife's monthly payment included $1,256.61 for principal and interest, as well as
one twelfth of the annual property taxes of $3,478.50 and one twelfth of the annual
insurance premium on the property of $1,186. What will the total monthly payment be?

Answers

Answer:

its 1,645.32

Step-by-step explanation:

search one twelfth of 3,478.50, then one twelfth of 1,186 and add those answers with 1,645.32

Mona needs to photocopy a 14.5 centimeters wide by 15 centimeters long picture. She wants to enlarge the picture so that its length will be
37.5 centimeters. How wide will the enlarged picture be?
O a
38.8 cm
Ob
37 cm
ос
93.75 cm
Od
36.25 cm

Answers

Answer:

The enlarged picture will have a width of 35.8 cm

Step-by-step explanation:

We can solve this question by proportions, using rule of three.

When the length is of 15 centimeters, the width will be of 14.5 centimeters. What is the width when the length is 37 centimeters?

15 cm - 14.5 cm

37 cm - x

Applying cross multiplication

[tex]15x = 14.5*37[/tex]

[tex]x = \frac{14.5*37}{15}[/tex]

[tex]x = 35.8[/tex]

The enlarged picture will have a width of 35.8 cm

Answer:

36.25 cm

Step-by-step explanation:

37.5 divided by 15 is 2.5 then multiply 14.5 by 2.5 and your answer will be 36.25 cm.

I hope this helps the last answer you got was close but incorrect. I really hope I get brainlyiest. :)

6(840.25)+15(1,374.05)+9(1.222.43)/30

Answers

Answer:

26018.979

yea...

2. Which of the following ordered pairs (x,y) satisfies the system of equations below?
x + y = 0
3x – 2y = 10
(3,2)
b. (2,-2)
(-2, 2)
d. (-2,-2)
a.
C.
timotor the nrice of a inh, in dollars, using the expression 60+

Answers

Answer:

b(2,-2)

Step-by-step explanation:

x= 2 and y=-2

let me know if you want further eplanation

Chester has a coupon for 1/10 off the price of a shirt. If a shirt originally costs $29.30, what discount would Chester receive from using his coupon?

A. $5.86
B. $0.34
C. $26.37
D. $2.93​

Answers

Answer:

26.37

Step-by-step explanation:

you change 1/10 too 10 percent then you multiply that too  29.30 and you get 2.93 then you subtract 2.93 from 29.30 and you get 26.37 :)

I agree with the person on top have a nice day:)

Forty percent of the students who enroll in a statistics course go to the statistics laboratory on a regular basis. Past data indicates that 55% of those students who use the lab on a regular basis make a grade of A in the course. On the other hand, only 15% of students who do not go to the lab on a regular basis make a grade of A. If a particular student made an A, determine the probability that she or he used the lab on a regular basis. (Round your answer to three decimal places.)

Answers

Answer:

0.71 = 71% probability that she or he used the lab on a regular basis.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Student got an A

Event B: Used the lab on a regular basis.

Probability of an student getting an A:

55% of 40%(go to the lab on a regular basis).

15% of 100 - 40 = 60%(do not go to the lab on a regular basis).

So

[tex]P(A) = 0.55*0.4 + 0.15*0.6 = 0.31[/tex]

Probability of getting an A and using the lab on a regular basis:

55% of 40%, so:

[tex]P(A \cap B) = 0.55*0.4 = 0.22[/tex]

Probability that she or he used the lab on a regular basis.

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.22}{0.31} = 0.71[/tex]

0.71 = 71% probability that she or he used the lab on a regular basis.


Please help I will put Brainliest!!!!

Answers

Answer:

Ill tell you the bases and exponents, 2 is the base and 2 is the exponent. 3 is your base and 2 is your exponent. 5 is your base and 3 is your exponent. 10 is your base and 3 is your exponent. 4 is your base and 2 is your exponent. 5 is your base and 2 is your exponent. 6 is your base and 2 is your exponent.

2^2
base: 2
exponent: 2
expanded notation: 2*2
standard notation: 4

3^2
base: 3
exponent: 2
expanded notation: 3*3
standard notation: 9

5^3
base: 5
exponent: 3
expanded notation: 5*5*5
standard notation: 125

10^3
base: 10
exponent: 3
expanded notation: 10*10*10
standard notation: 1000

4^2
base: 4
exponent: 2
expanded notation: 4*4
standard notation: 16

5^2
base: 5
exponent: 2
expanded notation: 5*5
standard notation: 25

6^2
base: 6
exponent: 2
expanded notation: 6*6
standard notation: 36
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