Solve the equation p^2 - 4p = 10 by completing the square

Solve The Equation P^2 - 4p = 10 By Completing The Square

Answers

Answer 1

Answer:

Step-by-step explanation:

p² - 4p = 10

add the square of half of the "b" value to each side of the equation

b/2 = -4/2 = -2

-2² = 4

p² - 4p + 4 = 10 + 4

p² - 4p + 4 = 14

(p - 2)(p - 2) = 14

       (p - 2)² = 14

           p - 2 = √14

                p  = 2 + √14


Related Questions

in a store parking lot, the ratio of blue cars to silver cars is 2 : 3. there are 24 blue cars how many silver cars are in the lot ?

Answers

Answer: 36

Step-by-step explanation:

There is 50% more silver cars then blue cars

Take 24 x 1.5 (50% more) and you get 36

-Gage Millar, Algebra 2 tutoe

You have 7 times as many nickels
as pennies. You have 16 nickels
and pennies altogether. How
much money do you have in all?

Answers

The total money you have is $40.14.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now it is given that,

There are 7 times as many nickels as pennies

Let there are n nickles and p pennies.

⇒ p = 7n

Now, there are  16 nickels and pennies altogether

⇒ p + n = 16

Put p = 7n we get,

⇒ 7n + n = 16

⇒ 8n = 16

⇒ n = 16/8

⇒ n = 2

Therefore,  p = 7*2

⇒ p = 14

Thus there 14 pennies and 2 nickels.

Now, since 1 penny = 0.01 dollars

and 1 nickel = 20 dollars

⇒ 14 pennies = 14*0.01 dollars = 0.14 dollar

and, 2 nickel = 2*20 dollars = 40 dollars

So, Total money = $40 + $0.14

Total money = $40.14

Thus, the total money you have is $40.14.

To learn more about equations :

https://brainly.com/question/13482978

#SPJ2

Half of a number, increased by 4, is 18. What is that number?

Answers

Answer:

24

Step-by-step explanation:

because 18-4=12 and if 12 is the half of the # the number has to be 24

12(2)=24

89 ft/sec to m/sec. Round to the appropriate number of significant digits.

Answers

Answer: 27.127 meters per second

Step-by-step explanation:

Find the Linear function model that best fits this data.

Answers

Answer:

y=-5x+3

Step-by-step explanation:

I always use desmos when i have graphing questions so i recommend using that!

Hope this helped! Have a great rest of your day!

Please mark me brainliest :)

Answer:

qqqqqqqqqqqqqqqqqqqaqqq

Use the graph to determine the following
a. the function's domain
b. the function's range
c. the x-intercepts, if any
d. the y-intercept if any
e. the function value indicated below.
f(-2)
a. What is the function's domain?
(Type your answer in interval notation)
b. What is the function's range?
(Type your answer in interval notation)
c. Enter the x-intercept(s). Select the correct choice below and fill in any answer boxes within your choice.
O A The x-intercept(s) is(are)
Type an integer Use a comma to separate answers as needed.)
B. There is no x-intercept

Answers

Answer:

the answer you are looking for is e

Rationalise the denominator and simply

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's solve :

[tex] \dfrac{24}{ \sqrt{6} } [/tex]

[tex] \dfrac{24}{ \sqrt{6} } \times \dfrac{ \sqrt{6} }{ \sqrt{6} } [/tex]

[tex] \dfrac{24 \sqrt{6} }{6} [/tex]

[tex]4 \sqrt{6} [/tex]

Answer:

4√6

Step-by-step explanation:

=> 24/√6 ×√6/√6

=> 24√6/6

=> 4√6

hope it's helpful to you ☺️

Latitud y longitud de la República Dominicana

Answers

Answer:

Uwu

Step-by-step explanation:

Please help answer and explain.

Answers

Answer:

-1/21

Step-by-step explanation:

Look for key words, difference means minus.

So 2/3-5/7. make the denominators the same, so 14/21-15/21

14-15 is -1 so -1/21 Hopefully this will help you!

Help this is due tomorrow

Answers

Answer:

n = 1.40 (second option)

Answer:

The choice second;

[tex]n = 1.40[/tex]

Step-by-step explanation:

[tex]0.7n + 0.8n = 2.1 \\ 1.5n = 2.1 \\ \\ n = \frac{2.1}{1.5} \\ \\ n = \frac{21}{15} \\ \\ n = 1.4[/tex]

I hope I helped you^_^

Jed has 4 times as many baseball cards as Ramon? Together, they have 60 baseball cards. How many baseball cards does Jed have?

Answers

Answer: 15

Step-by-step explanation:

4 multiplied by x (x= number of cards Ramon has) = 60 cards total

4x=60

4/60=15

x=15

PLS MARK BRANLIEST

Heyyy help please…?.?.?.?.?.?

Answers

Answer:

52 ounces 3.25 times 16 is 52

1 pound = 16 ounces,
3.25 pounds = 52 ounces

(16 x 3.25 = 52)

Lin AB is parallel to CD
what is the measure of 4

Answers

Answer:

BC

Step-by-step explanation:

caus jjaghahgajjhagaahhahha

I = $141.60; P = $590; t = 6 years
Find the rate

Answers

To find the rate, you need to have the equation for r.

Using the simple interest formula:

I = P • r • t

Divide both sides by P•t to isolate r:

I / P • t = (P • r • t)/ P • t

I / P • t = r

Now that we have the formula for r, substitute the given values into the equation:

r = $141.60/($590 • 6)
r = 0.04 or 4%

Therefore, the interest rate is 4%

Select more than 1 please

Answers

Here are the answers:
1.) DC=D’C’
2.) 3.) ED=E’D’

Need help don’t want to fail help help help

Answers

Answer:

photosynthesis is a processes by which plants get their proteins

Step-by-step explanation:

ok

Answer:

C. is not true

Step-by-step explanation:

Hole at x = 1, numerator has factor x-1, while vertical asymptote x = -3 means there is factor of x-3 in denominator.

horizontal asymptote y=0: degree of numerator less than denominator.

No real zeros.

Which equation represents a line with a slope of -8 and
a y-intercept of 4?
A y = -8x+4
B y = -4x+8
C y = - 8x-4
D y = 8x+4

Answers

Answer: A. y = -8x + 4 because the slope goes in front with the x (-8x) and the y intercept is after the slope (4)

Two mechanics worked on a car. The first mechanic worked for 5 hours, and the second mechanic worked for 15 hours. Together they charged $1650. What was the rate charged per hour by each mechanic if the sum of the two rates was $140 per hour?

Answers

x = rate of mechanic who worked 5 hours
y = rate of mechanic who worked 15 hours

Then

x + y = 235
5x + 15y = 2375

Just solve these 2 equations above for x and y.

x + y = 235 ⇒ x = 235 - y

Substitute into second equation to find y.

5(235 - y) + 15y = 2375

1175 - 5y + 15y = 2375

10y = 1200

y = 1200/10 = 120

x = 235 - y = 235 - 120 = 115

The mechanic who worked 5 hours charged $115 per hour, the one who worked 15 hours charged $120 per hour.

The force acting on a beam was measured under the same operating conditions and a sample of 5 data points was collected. This process was repeated by 3 observers. The pooled standard deviations of these 3 data sets was 1.14. Determine the true mean force using all pooled data (with a 95% probability). The result should look like this: True mean

Answers

i i. i i i i i ii h h hi i i i ii i

If the diameter is knownhow is the radius is determined

A.d/2 or 1/2 pi x d

Answers

You just need to divide diameter by 2

The solution of a linear equation with rational coefficients is a rational number. A. Always B. Never C. Sometimes

Answers

9514 1404 393

Answer:

  A.  Always

Step-by-step explanation:

A linear equation with rational coefficients can be written in the form ...

  ax +b = 0

The solution for the variable x is ...

  x = -b/a

The problem statement tells us that 'a' and 'b' are rational numbers. Assuming there is a solution (a≠0), that solution is the ratio of rational numbers, hence must always be rational.

On the first day of a family road trip, Tamara's family travels 540 miles,
On the second day, they travel 10% fewer miles,
How many miles does Tamara's family travel on the second day?

Answers

Answer:

the right answer is 486 and if I am right can brainlist

A string 27.2 meters long is cut into shorter pieces, each measuring 3.4 meters
long. How many pieces were cut from the 27.2-meters string?

Answers

Answer:

8 peices

Step-by-step explanation:

Sorry it went without any work.

work: 27.2/3.4 = 8

Answer:

8 pieces

Step-by-step explanation:

27.2 divide 3.4 then you will get as answer which is 8 pieces from 27.2 meters string.

check all that apply. if csc0 =13/12 then:
a:tan0= 12/5
b:sec0= 12/13
c: sin0=12/13
d: cos0=12/13

Answers

Answer:

a:tan0= 12/5

c: sin0=12/13

Step-by-step explanation:

cosec t(heta) = 13/12

1/sin t = 13/12

sin t = 12/13

cos t = √ (1 - (12/13)² ) = √ ( 1 - 144/169 ) = √25/169

cos t = 5/13

tan t = sin t/ cos t = (12/13) / (5/13) = 12/5

sec t = 1 / cos t = 13/5

Answer: A ) and C )  are correct:

tan theta = 12/5 and sin theta = 12/13

A bag contains 6blue marbles 8 green marbles 9 red marbles and 17 yellow marbles what is the ratio of blue marbles to Total marbles​

Answers

Answer:

6:40

Step-by-step explanation:

6 blue marbles

8 green marbles

9 red marbles

17 yellow marbles

6+8+9+17= 40.

40 is the total amount of marbles.

There are 6 blue marbles.

Comparing the amount of 6 to 40 would be 6:40

PLEASE HELP!!! WILL GIVE BRAINILEST

Determine the point and slope from the equation: y + 6 = -(x - 5)

a) point: (6, -5) slope: 1
b) point: (-6, 5) slope: -1
c) point: (5, -6) slope: -1
d) point: (5, -6) slope: 1

Answers

Answer:

the answer is C

Step-by-step explanation:

the equation of a line is y-y1=m(x-x1) where x1 and y1 are points on a line

so when you compare the two equations, you get C

What size cardboard does Thomas need to buy to make his box? 12 by 18 inch piece of cardboard 10 by 16 inch piece of cardboard 8 by 12 inch piece of cardboard 9 by 14 inch piece of cardboard

Answers

Answer:

12 by 18

Srry if I am wrong

Steve has been collecting baseball cards for a few months. Last week he added 5 more baseball cards to his collection yesterday his dog ate half of all this baseball cards and now he only has 12 cards left. How many cards did he start with

Answers

Answer:

19

Step-by-step explanation:

19 + 5 is 24 and if the dog ate half and there is 12 left 24/2 is 12

Answer:

19

Step-by-step explanation:

Well, all you got to do is firstly, multiply 12 by 2 (24). Then, subtract 5 from it (19).

Hope this helped!

food brand names suggest 4 or more

Answers

Heinz,Pepsi,Coca-Cola,Kitkat

Ritz

Oreos

Spam

Kirkland Signature

Stuck on letter b, please help

Answers

Answer:  f(3)=10

Step-by-step explanation:

In order to calculate f(3) you need to substitute 3 for x in function

f(x)=3x +1 :

f(3)=( 3x3) + 1

f(3)= 9+1

f(3)=10

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