The equation x²– 8x – 5 = 0 can be transformed into the equation (x - p)² = q, where p and q are real numbers. What are the values of p and q?​

Answers

Answer 1

The form (x - p)^2 = q is the form that completing the square will leave us with.

---Add 5 to both sides

x^2 - 8x = 5

---Divide the b term by 2, and square it. Then, add that number to both sides.

-8/2 = -4

(-4)^2 = 16

x^2 - 8x + 16 = 5 + 16

x^2 - 8x + 16 = 21

---Factor!

(x - 4)^2 = 21

p = 4

q = 21

Hope this helps!! :)

Answer 2

P and q have values of 4 and 21, respectively.

What is an expression?

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

The form (x - p)²= q is what we get when we complete the square.

Adding the number 5 on both sides,

x² - 8x = 5

After dividing by two, square the b term. Then divide both sides by that figure.

-8/2 = -4

(-4)² = 16

x² - 8x + 16 = 5 + 16

x² - 8x + 16 = 21

Solve the factors,

(x - 4)² = 21

p = 4

q = 21

As a result, the values of p and q are 4 and 21, respectively.

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Related Questions

help - *sobs* lol T_T

Answers

I think it’s either 124 or 112

A. 112°

21x+5+37x+1=180

58x+6=180

-6

58x=174

÷58

X=3

37(3)+1

111+1

112

The circular top of a clay pot has a diameter of 14 centimeters . What is the circumference of the pot's circular top ? Use 3.14 for π

Answers

Answer:

Circumference formula is πr². while we do not have the radius, you do have the diameter, the diameter is the full length of the circle while the radius is half of the circle. So you take 14/2=7 so the new equation is π7² so you would do 7x7 to get 49, then you would do 49 x 3.14 and you'll have 153.86 Centimeters². You'll need to double check this but I hope this helped.

Given the definition of rational numbers, are decimals like 0.5 and 0.3 rational numbers? Why or why not?

Answers

Answer:

Yes they are rational numbers

Step-by-step explanation:

Given decimals like 0.5 and 0.3 are rational numbers because they are terminating decimals and can be written as p/q

What are rational numbers?

Rational numbers are numbers which can be written in the form p/q , where p and q are integers ,q≠0, highest common factor of p and q is 1.

The decimal expansion of rational number are terminating decimal expansion or non terminating and recurring decimal expansions.

Examples of rational number: 1/2 , 3/4, 13/2, 0.125,0.5, 0.55555....,

0.1212121212.....

As the given decimals 0.5 and 0.3 have terminating decimal expansion  therefore they are rational numbers.

The rational form of 0.5 and 0.3 are

0.5 = 5/10 = 1/2

∴ 0.5 is written as p/q with p= 1 and q =2≠0 , p and q are coprime

0.3 = 3/10  

0.3 is written as  p/q with p= 3 and q =10≠0 , p and q are coprime

Therefore, 0.5 and 0.3 are rational numbers.

Also, Learn more about rational numbers from the link below:

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plsssssssssssss answer

Answers

Answer:

Step-by-step explanation:

104         x

----      =  ---

50          60

Cross multiply 104 by 60. 6240 is your answer.

Your new equation is 6240 = 50x.

Divide both sides by 50. 6240/50 = x

x = 124.8 mph (miles in one hour)

PLS help I will mark brainiest and say thanks and give five stars.

Answers

Answer:

m<BEC=80º

Step-by-step explanation:

a line is 180º total

180-70-30=80

Answer:

BEC = 80°

Step-by-step explanation:

Supplementary = 180°

70 + 30 = 100

180 - 100 = 80

Hope this helps! Pls give brainliest!

Find the missing angle measure.

Can someone tell me the answer to this please

Answers

Answer:

sum of all angles of a triangle= 180°

Let angle A be x,

then 63°+90°+x=180°

x=17°

What is the equation of the line that passes through the point (- 1, - 5) and has a slope of -1

Answers

Answer:

y = -x - 6

Step-by-step explanation:

Slope = m = -1

Equation of line: y = mx + b

y = - x + b

Plugin x = -1 and y = -5 in above equation

-5 = -(-1) + b

-5 = 1 + b

-5 - 1 = b

b = -6

Equation of the line: y = -x - 6

PLEASE HELP IF YOU KNOW THE ANSWER!!!
I NEED THE DOMAIN AND RANGE

Answers

oh yeah i know the answer. thats cool you need it

A street that is 250 m long is covered in snow. City workers are using a snowplow to clear the street. The snowplow has tires that are 1.7 m in diameter. How many times does a tire have to turn in traveling the length of the street?
Use the value for . Round your answer to the nearest tenth. Do not round any intermediate steps.

Answers

Answer:

The Snowplow needs to turn 44 times.

The radius of a sphere is increasing at a rate of 0.5 centimeters per minute. At a certain instant, the radius is 17 centimeters.


What is the rate of change of the volume of the sphere at that instant (in cubic centimeters per minute)?

Answers

Using implicit differentiation, it is found that the rate of change of the volume of the sphere at that instant is of 1815.84 cubic centimetres per minute.

The volume of a sphere of radius r is given by:

[tex]V = \frac{4\pi r^3}{3}[/tex]

Applying implicit differentiation, the rate of change is of:

[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}[/tex]

In this problem, we have that [tex]\frac{dr}{dt} = 0.5, r = 17[/tex], thus:

[tex]\frac{dV}{dt} = 4\pi (17)^2(0.5) = 1815.84[/tex]

The rate of change of the volume of the sphere at that instant is of 1815.84 cubic centimetres per minute.

A similar problem is given at https://brainly.com/question/11496075

HELP PLSSS THIS IS HARD SOMEONEEE

Answers

Answer:

Chase is correct. the first one

Step-by-step explanation:

Does anybody know the answer to this question f(x)=x^3-x^2-10x-8

Answers

Answer:

(X+1) (x - 4) (x+2)

Step-by-step explanation:

All the coefficients are integers so apply the rational zeros theorem.

The coefficient of x^3 is 1.

Divide (x^3-x2-10x-8)(x+1) = x^2-2x-8 with remainder = 0

The remainder is 0. (x+1) is a factor.

(x + 1) ( x^2 - 2x - 8)

x^2 - 2x - 8 (-4 * 2= 8) and -4 + 2 = -2)

= (x -4) (x+2)

13) What are the solutions to y2 = 81?

Answers

Step-by-step explanation:

y²=81

y²=9²

:. bases same powers equal,

y=9.

hope this helps you.

9 would be the y because if you substitute the 9 with the y it would be 9 to the second power which would mean you would multiply 9 • 9

Can someone answer this really quick

Answers

NOT CONGREUNT!! There is no axiom to prove congruent.

The unit price (rate) per 1 gallon of gas is $3.00. The constant of proportionality is $3.00. Using the unit rate, how much will 15 gallons of gas cost?

A) $3.00
B) $21.00
C) $45.00
D) $90.00

Answers

The answer is c) $45.00.

Please answer this it’s very hard for me

Answers

Answer:

C, D, E, F

Step-by-step explanation:

Remember y=mxb?

m is slope and b is y-intercept

so y=2/7x-9

Remember that slope is RISE/RUN so for every 2 squares that you go up, you go 7 squares to the right.

Also remember that since your graph is going thru your Cartiesian Plane in quadrent 4, your y value in your ordered pairs will most probably be a negative.

Please see the image to help you viualize this.

Can someone please help​

Answers

Answer:

<ABC = 70 degrees

<AMC = 60 degrees

< AMB = 60 degrees

Step-by-step explanation:

<ABC = 180-110 = 70 degrees

<AMC = 2x + 60 = 180

2x = 180 - 60

x = 120/2

x = 60

<AMB = 180/3 = 60

QUWX is a field in the shape of a Trapezium whose parallel sides are 121m and 56m and the non parallel sides are 82m and34m. find the cost of ploughing the field at Rs 14.89 per square kilometre.(help with this one​)

Answers

Answer:

hence the total cost to plough the trapezium field

is Rs. 893500.50

Step-by-step explanation:

the required answer may be wrong .... but this is the way to do it....

hope this helped you...☺️

comment if any confusion

Guys please help I hate geometry

Answers

Answer:

m∠1 = 75° m∠2 =45° m∠3 = 60°

Step-by-step explanation:

m∠1 = 180 - { (180 - 135) + (180 - 120) }

m∠1 = 180 - { 45 + 60 }

m∠1 = 75°

The angle between 1 and 3, lets call it x,  is vertically opposite to ∠2, so we must find it first to be able to get ∠2

Since a ║b

Therefore ∠x and ∠135 are co-interior angles

Therefore ∠x = 180-135

m∠x = 180 - 135

m∠x = 45°

∠2 = ∠x (Vertically opposite angles)

∠2 = 45°

Between ∠2 and ∠3 there is an angle, let's call it z.

∠z = ∠1 (Vertically opposite angles)

∠z = 75°

Since the sum of angles 2, z and 3 = 180° (Straight angle)

Therefore m∠3 = 180 - (∠2 + ∠z)

m∠3 = 180 - (45 + 75)

m∠3 = 60°

Or in a different way

∠2 + ∠z + ∠3 = 180

45 + 75 + ∠3 = 180

120 + ∠3 = 180

∠3 = 180 - 120

∠3 = 60°

Hope it helps

-39=18+4m enter your answer as a mixed number in simplest form in the box m=

Answers

Answer:

Step-by-step explanation:

-39 = 18 + 4m

4m + 18 = -39

Subtract 18 from both sides

4m = -39 - 18

4m = -57

Divide both sides by 4

m = -57/4

[tex]m = -14\dfrac{1}{4}[/tex]

Answer:

-14 1/4

Step-by-step explanation:

I took the test

If triangle weighs 1 gram how much does a square weigh

Answers

Answer:

the answer should me 1.5 grams

Step-by-step explanation:

The weigh of a square is not a whole number therefore it’ll be 1.5

What is 4 plus 3 plus 6 plus 10

Answers

23 is the ejejhdbdbndndjdndbdbdbhd

Answer:

23

Step-by-step explanation:

4+3+6+10

4+3 = 7

7 + 6 = 13

13 + 10 = 23

This is super easy, no offense

Directions: Follow the instructions for the following inequalities. Will give brainlist!


1. 4<7 Multiply both sides by 7, then by 6, then by 3, then by 10

2. 11>-2 Add 5 to both sides, then add 3, then add (-4)

3. -4<-2 Subtract 6 from both sides, then 8, and then 2

4. -8<8 Divide both sides by -4, then by -2

5. Write a short explanation of the effects of the above operations. Did this affect the inequality sign? Was it still true? Why or why not?

Answers

1) 4<7

×7 ×7

28<49

×6 ×6

168<294

×3 ×3

504<882

×10 ×10

5040<8820

2) 11>-2

+5 +5

16> 3

+3 +3

19>6

+-4 +-4

15>2

3) -4<-2

-6 -6

-10<-8

-8 -8

-18<-16

-2 -2

-20<-18

4) -8<8

÷-4 ÷-4

2<-2

÷-2 ÷-2

-1< 1

5) ~The affect of the inequality sign didn't change. If you add or subtract the same positive or negative number to both sides of an inequality or an equation, the inequality stays the same. If you multiply or divide both sides of an inequality or an equation by the same positive number, the inequality stays the same. This is because when manipulating inequalities there are rules this if a < b then a + c < b + c so we get a new number that replaces a and b yet the inequality symbol stays the same so a still is smaller than b.

Hope this helped you- have a good day bro cya)

If it takes 5.5 hours to fill a 4.675 gallon swimming pool, how many gallons can be filled in one hour?

Answers

Answer:

0.85 gallons

Step-by-step explanation:

4.675(gallons) dived by 5.5(hours). Hope it helps

ʜᴇʀᴇ ɪs ᴛʜᴇ ǫᴜᴇsᴛɪᴏɴ​

Answers

Answer:

16) 19/4

17) -1

18) equiangular

19) (n-2) x 180

20) 0,1

21) sector

22) 20

23) n(n-3)/2

24) 144

25) Raw

please help with solving systtems of equation by graphing I'm lost

Answers

Answer:

Solution is (3, -3)

Step-by-step explanation:

To solve by graphing, you literally have to graph both lines to see where they intersect. That point of intersection is the solution to the given system.

Given the following linear equations:

y = - x   where the slope (m) = -1, and the y-intercept (b) = 0.

y = x - 6 where the slope (m) = 1, and the y-intercept (b) = -6.

Plot the intercepts (0, 0) for the first line, and (0, -6) for the second line, as a starting point, then use the given slopes (rise over run) of each line to plot the next points. Repeat the process until you have enough points to connect with and create a line.

Attached is a screenshot of the graphed systems of linear equations. It shows that the solution is (3, -3).

Please mark my answers as the Brainliest, if you find this helpful :)

SOMEONE HELP WITH THIS PLEASE!!

Answers

Answer:

Step-by-step explanation:

you just have to evaluate the expression and then solve it

An object is launched at 9.8 meters per second (m/s) from a 308.7-meter tall platform. The function that represents the object's height s at time t seconds after launch is
s(t) = −4.9t2 + 9.8t + 308.7,
where s is in meters. When does the object strike the ground?

Answers

this is the full answer for you're Q

please give me good

The time taken by the object to hit the ground will be 9 seconds.

What is a quadratic equation?

A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given that an object is launched at 9.8 meters per second (m/s) from a 308.7-meter tall platform. The function that represents the object's height s at time t seconds after launch is

s(t) = −4.9t²+ 9.8t + 308.7

To find the time taken put the function equal to zero.

−4.9t²+ 9.8t + 308.7 = 0

t² - 2t - 63 = 0

t² - 9t + 7t - 63 = 0

t ( t - 9 ) +7 ( t - 9 ) = 0

( t - 9 ) ( t + 7 ) = 0

t = 9 and -7(ignore)

t = 9 seconds

Therefore, the time taken by the object to hit the ground will be 9 seconds.

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Today, both the soccer team and the basketball team had games. The soccer team plays every 4 days and the basketball team plays every 5 days.

Answers

Answer:

20

Step-by-step explanation:

Assuming you are referring to the day that both teams would play on the same day, it would be the 20th.

There are two ways you can do it.

1. List out the multiples of each number

2. multiply the two days together

If you want to do it the first way it would look like this...

5 10 15 20

4 8 12 16 20

When you do it like this it shows you that the 20th day is the day they would both play together

If you want to do it the second way it would look like this...

4th day X  5th day = 20th day

Either way you solve the problem you get the same answer, this may not work for every problem like this, but it works for this particular one

[tex]f(x)=\frac{2x}{x-1}[/tex]

[tex]f(a); f(a+h); \frac{f(a+h)-f(a)}{h}[/tex]

Answers

1st = x=0
2nd I’m not sure I don’t want to provide the wrong answer
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