Which are the solutions of x^2 = 19x + 1?

Answers

Answer 1

Answer:

x = [tex]\frac{19+\sqrt{365}}{2}, \frac{19-\sqrt{365}}{2}[/tex]

Step-by-step explanation:

1. Move everything to one side of the equation.

x^2 - 19x - 1 = 0

2. Use the quadratic formula where a = 1, b = -19, and c = -1.

x = (-b +- sqrt(b^2-4ac)) / 2a

If you plug those numbers into that formula, you will get the result listed above

Answer 2

Answer:

B

x₁ = [tex]\frac{19-\sqrt{365}}{2}[/tex], x₂ = [tex]\frac{19+\sqrt{365} }{2}[/tex]

Step-by-step explanation:


Related Questions

what the formula of a triangle?!

Answers

Answer:

A=hbb/2 hope this helps :)

Step-by-step explanation:

Area= (height x base)/2

Erica finds a block of cheese in her
fridge. Originally, the block weighed
126 g, but there is only 60% of it left.
How many 10-g wedges can she cut
from the cheese that is left?
8
21
12
7

Answers

Answer:

7

Step-by-step explanation:

126 g is what you originally had which=60% of whats left

you have to find out how many 10 wedges she can cut from the cheese that is left over

Work Shown:to find how much is left you have to multiply 126 by 60% remember when you multiply you have to move the decimal, and decimal is moved twice, so the answer would be 75.60 after you were done solving it and the number that is closest would be 70 so you would multiply 10 by 7=70 and the reason you pick that is because it is closer to 75.60.

So 7 is the answer.

simplify the sum x-2/x+3 + 10x/x^2-9 please show your work

Answers

Answer:

Step-by-step explanation:

simpify each term

x- 2/x +3+ 10/x -9

combine fractions

x+3 -9 + 8/x

find common denominator then simplify terms                          [tex]\frac{x*x}{x}+\frac{3x}{x}+\frac{-9x}{x}+\frac{8}{x}[/tex]

[tex]\frac{x^{2}-6x+8 }{x}[/tex]

factor

[tex]\frac{(x-4) (x-2)}{x}[/tex]

Answer:

(x−4)(x−2)x

Step-by-step explanation:

Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures θ radians (where 0≤θ<2π). The circle's radius is 2 units long and the terminal point is (−1.15,−1.64).



The terminal point is how many radius lenghts to the right of the circle's center?
h=

Then, cos−1(h)=

Does the number we get in part (b) give us the correct value of θ? 

Therefore, θ=


Answers

Answer:

hello attached below is the sketch of the missing diagram

a) h = 2

b) cos^-1 ( 2 ) = ∞

c ) θ ≈ 215°

Step-by-step explanation:

a) The length ( h ) to the right of the circles center

= h^2 = ( -1.15)^2 + ( -1.64)^2

∴ h = 2

b) cos^-1 ( 2 ) = ∞

c) The value gotten from b does not give us the value of θ

AB = - 1.64

BC = -1.15

AC = 2

sin^-1 ( - 1.64 / -1.15 )

cos^1 ( -1.15 / 2 ) gives us the value of θ

tan^-1 ( -1.64 / -1.15 )

θ ≈ 215°

Round to the nearest tenth

Answers

Answer:

7.0

Step-by-step explanation:

Tangents form right angles, so AOB is a right triangle.

Now using Pythagorean Theorem (A^2 + B^2 = C^2), plug in the values and solve inversely.

5^2 + B^2 = 8.6^2

25 + B^2 = 73.96

B^2 = 48.96

B = squareroot 48.96

B = 6.997 --> 7.0

Answer: r is 7

Step-by-step explanation:

ABO is a right triangle

[tex]a^{2} +b^{2} =c^{2} \\5^{2} +b^{2} =8.6^{2} \\25+b^{2} =73.96\\b^{2} =48.96\\b=6.997[/tex]

What is the solution of the equation?

Answers

Answer:

+8 and -8, 2nd answer from the right.

Twelve people were surveyed and asked how many people live in their residence. The results are summarized in the table below.
What is the mean number of people per residence? Round to one decimal place if needed.

2.0 people per residence
2.5 people per residence
2.8 people per residence
3.5 people per residence

URGENT PLEASE HELP!

Answers

The mean number of people is 2.8 per residence . Which is the correct answer would be an option (C)

What is arithmetic mean?

Arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean. One of the basic methods used to acquire a result, the term "Mean" is commonly used in the field of statistics.

The formula for the mean of a given set of data is as follows:

Mean = Sum of Observations/Total number of observations

Given the frequency distribution as :

People per residence (x)   Frequency (f)           fx      

          1                                   2                            1 × 2 = 2

          2                                   4                           2 × 4 = 8

          3                                   3                           3 × 3 = 9

          4                                   1                            4 × 1 = 4

          5                                   1                            5 × 1 = 5

          6                                   1                            6 × 1 = 6

Summation of fx = (Σfx) = 2 + 8 + 9 + 4 + 5 + 6 = 34

Total frequency = (Σf) = 2 + 4 + 3 + 1 + 1 + 1 = 12

⇒ Mean = Σfx/Σf

⇒ 34/ 12

⇒ 2.83 ≈ 2.8

Thus, the mean of the frequency distribution is 2.8.

Learn more about the arithmetic means here:

brainly.com/question/13000783

#SPJ6

Answer c

Step-by-step explanation:

What is the radius and diameter of the following circle?
16 cm

Answers

Answer:

radius is 16

diameter is 32

Step-by-step explanation:

Your radius is the line starting from the point in the middle to any part of the edge of the circle. A diameter is when there is a long straight line from both ends reaching the edges of the circle crossing the point.

A diameter is just the radius doubled but except it all has to be straight coming reaching both edges.

A radius is half of a diameter.

Answer:

radius = 16 cm

diameter = 32 cm

Step-by-step explanation:

radius = a straight line from the center of the circle to any point on the circle's circumference

We are given the radius (16 cm)

The diameter is equal to twice the length of the radius

So diameter = 16 * 2

16*2=32 so the length of the diameter is 32 cm

Parker ran 100 meters, 6 kilometers, and 4,000 centimeters. How many meters did he run all together

Answers

Answer:

4,106

Step-by-step explanation:

you jus add all the numbers up.

5) Is this dilation an enlargement or reduction

A) Englargement

B) Reduction
———————
6) What is the scale factor for this dilation? Hint: First identity if it’s an enlargement or reduction

A) 2
B) 1/2
C) 3
D) 1/3

Answers

if the purple triangle is supposed to be the dilation then its an enlargement and the scale factor should be 2?

find the volume of the cone. use 3.14 for pi. round decimal answers to the nearest tenth. diameter= 24ft height= 8ft

Answers

Answer = 1205.76

Volume of cone formula:
1/3 x radius^2 x 3.14 x height

Radius = 12

1/3 x 12^2 x 3.14 x 8 = 1205.76

Last year, Lebron James made $22, 970,000. This year he made $26,440.000. How much did Lebron James make from both years together?

Answers

Answer:

49,410,000

Step-by-step explanation:

because calculator

Bro just add them together!

13. Mark has a board that is 12 feet long. He
cuts the board into 8 pieces that are the
same length. How long is each piece?

Answers

Answer:

1.5 feet

Step-by-step explanation:

12/8 = 1.5 feet

Lola is putting a border on the quilt she is making. The quilt is shaped like a rectangle. The width of the quilt is 48 inches and its length is twice its width. How much border does Lola need?
Group of answer choices

Answers

Answer:

288in

Step-by-step explanation:

48 times 2 is 96

96 plus 96 plus 48 plus 48 for all sides of the rectangle = the perimeter or border

A marble is drawn at random from the bag shown below. The bag contains 3 green, 4 yellow, 5 blue, and 8 pink
marbles.
What is P(not yellow)?
A 1/5 B 2/5 C 4/5

Answers

Answer: c 4/5

Step-by-step explanation: out of 5 only four are chosen leaving us with an answer of 4/5 :D hope it helped

427 × 1,000 jnjnnjnjnnjjjjjjjjjjjjjjjjjj

Answers

Answer:

427,000...

Step-by-step explanation:

just search it up. Anywayyysss cute copy and paste☏ ♡ ☆⋆◦★◦⋆°*•°

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★ ★°★ . * . °☆ . ● . ★ ° . • ○ ● . ☆ ★ ° ☆ ¸. ¸ ★ . • ° . *

¸ . ★ ° :. :. . ¸ . ● ¸ ° ¸. * ● ¸ °☆

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° :. ° . ☆ . . • . ● .° °★ Not sure how to copy and paste? Just right click your mouse and choose copy in options, to release repeat the process and just paste it. No mouse? Select the text with your computer pad and use ctrl c to release, ctrl v. On mobile? Press on your screen and select the text, use the option copy and paste wherever you would like!

Write 5-7 well-written sentences. REREAD FOR ERRORS AND FIX THEM!! If you could spend the perfect day, what would you do? Where would you be? Who would be with you? What do you see? Eat? Play? Use your senses to describe it? What do you see? Hear? Smell? Taste? Touch?

Answers

Answer:

If i could spend the perfect day I would go to the park and take a jog. I would also go to Mc donalds and get a vanilla flavored ice cream! I love the taste of vanilla, Next, i will watch my favorite movie on my phone. Then, i will go to the zoo with my friends and see my favorite animals! Lastly,i will go home and take a nap.

Step-by-step explanation:

okay

Can someone help with this, please? :)

Answers

Answer:

answer is D i believe

Step-by-step explanation:

The Candy Store is selling packs of gummies. A pack has 2 and 1/3 pound
of pineapple gummies and 1 and 5/6 pound of strawberry gummies. How
may pounds of gummies is in a pack?

Answers

The answer is 25/6 pounds or 4 and 1/6 pounds.

What is the area of polygon LMN?

A. 50
B. 60
C. 65
D. 70
E.80

Answers

Answer:

c:65

Step-by-step explanation:

The area of a triangle can be found almost the same way as a sqaure L*W (Length times width). Except the area of a triangle is one half that of a square, so it is [tex]\frac{1}{2}[/tex]L*W. The length is 13 and the width is 10, so 13*10=130, than 1/2 that is 65.

It
Better be 65 I think not sure

Which equation below allows you to solve 2x2 - 15 = x Using the zero-product property?​

Answers

Answer:

A is the correct answer .

Step-by-step explanation:

Hope this helps .

The equation that allows you to solve the given equation is (x-3)(2x+5).

What is a quadratic equation?

Any equation of the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation where a is non-zero.

The given quadratic equation is:

[tex]2x^{2} -15=x[/tex]

[tex]2x^{2} -x-15=0[/tex]

[tex]2x^{2} -6x+5x-15=0[/tex]

[tex]2x(x-3)+5(x-3)=0[/tex]

[tex](x-3)(2x+5)=0[/tex].......(1)

So, the required equation is equation(1).

Hence, the equation that allows you to solve the given equation is (x-3)(2x+5).

To get more about quadratic equations visit:

https://brainly.com/question/1214333

Find the common ratio of the geometric sequence –4, 12, -36,...

Answers

Answer: -3

Step-by-step explanation:

The common ratio of the geometric sequence –4, 12, -36,... is -3.

12/(-4) =-3

-36/(12) = -3

They both multiply -3 for the next number.

Write the additive inverse and multiplicative inverse of 3-7i?

Answers

Step-by-step explanation:

additive inverse means multiplying 3-7i by it's conjugate which would be

(3-7i)(3+7i)=3^2+7^2=9+49=58

the multiplicative inverse of a number z is 1/z

1/(3-7i)

multiply numerator and denominator by 3-7i's conjugate and it equals 58

(3-7i)/58

3/58-7/58i

Hope that helps :)

Review the graph of complex number z. What is the conjugate of z?
7 – 6i
6 – 7i
–7 + 6i
–6 + 7i

Answers

Answer: B. 6 - 7i

Step-by-step explanation:

The complex conjugate of the given graph of the complex number is 6-7i.

We have given that,

7 – 6i

6 – 7i

–7 + 6i

–6 + 7i

We have to determine the conjugate of z.

What is the conjugate of complex numbers?

changing the sign of the imaginary part of the complex number. To find the complex conjugate of 4+7i we change the sign of the imaginary part. Thus the complex conjugate of 4+7i is 4 - 7i.

Therefore the complex conjugate of the given graph of the complex number is 6-7i.

To learn more about complex numbers visit:

https://brainly.com/question/10662770

#SPJ5

A gym knows that each member, on average, spends 70 minutes at the gym per week, with a standard deviation of 20 minutes. Assume the amount of time each customer spends at the gym is normally distributed. Suppose the gym surveys a random sample of 49 members about the amount of time they spend at the gym each week. What are the expected value and standard deviation (standard error) of the sample mean of the time spent at the gym

Answers

Answer:

the expected value and the standard deviation of the sample mean is 70 and 2.86 respectively

Step-by-step explanation:

The computation of the expected value and the standard deviation of the sample mean is shown below:

The mean is 70

And, the standard deviation is

= 20 ÷ √49

= 20 ÷ 7

= 2.86

Hence, the expected value and the standard deviation of the sample mean is 70 and 2.86 respectively

Can anyone know the answer please

Answers

Omggg this is so hard but guess 3x4,60

13. Reasoning In 2016, the world's oldest
tree was 5,066 years old. Write the
number that is one hundred more using
number names?

Answers

Answer:

five thousand, one hundred and sixty six years old.

Step-by-step explanation:

A high school booster club is selling raffle tickets for three different prizes. The tickets are $1 for the small prize, $2 for the medium prize, and $5 for the large prize. Shiloh spent $35 on 15 tickets. Together, the number of $2 and $5 tickets she bought is 1 more than the number of $1 tickets she bought. If x represents the number of $1 tickets, y represents the number of $2 tickets, and z represents the number of $5 tickets Shiloh bought, which system of equations represents this situation?

Answers

Answer:

x+y+z=15

x+2y+5z=15

-x+y+z=1

Step-by-step explanation:

Answer:

The answer is

x + y + z = 15

x + 2y + 5z = 35

-x + y + z = 1

Step-by-step explanation:

I NEED HELP ASAP PLEASEEEE!!!!! The total surface area of the triangular prism is

Answers

Answer:

560

Step-by-step explanation:

2 minutes is how many seconds

Answers

120 seconds
1 min = 60 seconds

Answer:

120

Step-by-step explanation:

2*60 = 120

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