giải phương trình nghiệm nguyên x^2 - 3y^2 +2xy -2x - 10y +4 =0

Answer:

Answer is 19

Step-by-step explanation:

firstly,the area of a rectangle is =LxW

secondly since there is no number for length,we use X for representing the number ,then height is used for representing breath and the number is 23ft and area is 437ft

so we solve,

LxW=AREA

Xx23=437

23X/23=437/23

X=19

therefore the length is =19

Answer:

[tex]A=\pi(336)[/tex]

[tex]A=1055.575[/tex]

Step-by-step explanation:

1. Approach

One is given a prism. The base of the prism is a quarter of a circle, the prism's length is also given. The easiest method to find the volume of the prism is to find the area of the quarter of the circle, then multiply the result by the length of the prism.

2. Find the area of the quarter circle

The following formula can be used to find the area of a circle,

[tex]A_c=(\pi)(r^2)[/tex]

Since one is trying to find the area of a quarter of a circle, one must multiply this formula by ([tex]\frac{1}{4}[/tex]). Please note that the parameter (r) represents the radius of the circle or the distance from the center of the circle to the circumference or outer edge of the circle. The parameter ([tex]\pi[/tex]) represents the number ([tex]3.1415...[/tex]).

[tex]A_c=\frac{1}{4}(\pi)(r^2)[/tex]

Substitute the given values into the formula and simplify to evaluate,

[tex]A_c=\frac{1}{4}(\pi)(r^2)[/tex]

[tex]A_c=\frac{1}{4}(\pi)((8)^2)[/tex]

[tex]A_c=\frac{1}{4}(\pi)(64)[/tex]

[tex]A_c=(\pi)(16)[/tex]

[tex]A_c\approx 50.2655[/tex]

3. Find the volume of the prism

Now multiply the area of the quarter circle by the length of the prism to find the volume of the prism. Note that the parameter (l) represents the length of the prism,

[tex]A=A_c(l)[/tex]

Substitute and simplify to evaluate,

[tex]A=(\pi)(16)(21)[/tex]

[tex]A=\pi(336)[/tex]

[tex]A=1055.575[/tex]

The probability that no two teams win the same number of games, P ≈ 2.084 × 10⁻⁴⁵³

The reason for arriving at the above probability is as follows:

The given parameters are;

The number of teams in the tournament, n = 60

The chance of a team winning a game = 50% = 0.5

The number of ties = No ties

The required parameter:

The probability that no two teams win the same number of games

Method:

Calculate the number of ways no two teams win the same number of games, and divide the result by the total number of possible outcomes

Solution:

The number of matches played, n = [tex]\dbinom {60} {2}[/tex] = 1,770

The possible outcomes = 2; Winning or losing

The total number of possible outcomes, [tex]n_p[/tex] = 2¹⁷⁷⁰

The number of games won by each team is between 0 and 59

The ways in which no two teams won the same number of games is given by the games won by the teams to be 0, 1, 2,..., 57, 58, 59

Therefore, the number of ways no two teams won the same number of games, the required outcomes, [tex]n_k[/tex] = 59!

[tex]Probability = \dfrac{Number \ of \ possible \ outcomes}{Number \ of \ required\ outcomes}[/tex]

The probability that no two teams win the same number of games is given as follows;

[tex]\mathbf{P(No \ two \ teams \ won \ the \ same \ number \ of \ games)} = \dfrac{n_k}{n_p}[/tex]

Therefore;

[tex]P(No \ two \ teams \ won \ the \ same \ number \ of \ games) = \dfrac{59!}{2^{1,770}} \approx \mathbf{2.084 \times 10^{-453}}[/tex]

The probability that no two teams win the same number of games, P ≈ 2.084 × 10⁻⁴⁵³

Learn more about probability theory here:

https://brainly.com/question/1539712

Answer:

-1 1/3

Step-by-step explanation:

You can see that if you subtract 1 1/3 from -1/3, you get -1 2/3, and so on

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

No. D

please mark me as brainliest please

Answer:

The trapezoid.

(it's the third picture)

Answer:

C and D.

Step-by-step explanation:

We want to solve the equation:

[tex](x-1)^2 = 50[/tex]

We can take the square root of both sides. Since we are taking an even root, we need plus/minus:

[tex]\displaystyle (x-1) = \pm\sqrt{50}[/tex]

Note that:

[tex]\sqrt{50} = \sqrt{2\cdot 5^2} = 5\sqrt{2}[/tex]

Hence:

[tex]\displaystyle (x - 1) = \pm5\sqrt{2}[/tex]

And by adding one to both sides:

[tex]\displaystyle x = 1 \pm 5\sqrt{2}[/tex]

In conclusion, our answers are both C and D.

Answer:

C. 76

Step-by-step explanation:

Since the numbers add up by 5, you can use this equation. 5x-4.  Plug in 16 for x to get the answer which is 76.

Answer:

∠ ABD = 37° , ∠ DBC = 58°

Step-by-step explanation:

∠ ABD + ∠ DBC = ∠ ABC , substitute values

2x + 23 + 9x - 5 = 95 , that is

11x + 18 = 95 ( subtract 18 from both sides )

11x = 77 ( divide both sides by 11 )

x = 7

Then

∠ ABD = 2x + 23 = 2(7) + 23 = 14 + 23 = 37°

∠ DBC = 9x - 5 = 9(7) - 5 = 63 - 5 = 58°

Step-by-step explanation:

Here are all the steps. First, you need to find the value of x . After finding x , just put the answer in the equation and calculate it .

Answer:

765625

Step-by-step explanation:

because 875x875 is 765625

Answer:

765,625 names if each says their own name, 764,750 if they don't. (Although, if you wanna get technical, only 875 names are being said, since they're repeating the same names over and over again)

Step-by-step explanation:

Alrighty, this is complicated. Just to make it easier, we're going to switch the word "names" to "words."

There are 875 people in the room, and each one of them is saying 875 words (assuming it includes their own name). So to figure out how many words would be said, you multiply 875 by 875, which gives you 765,625 words. If they say everyone's name EXCEPT their name, then subtract 875, which gives you 764,750.

Answer:

f(8) = -161

Step-by-step explanation:

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

f(8) = -3(8)^2 + 3(8) + 7

f(8) = -192 + 24 + 7

f(8) = -161

Answer:

C > 17

Step-by-step explanation:

23 - C < 6  

-23        -23

-----------------

-C < -17

multiply both sides by -1

(-c) (-1) > (-17) (-1)

C > 17

The base of the rectangle , b = 28 cm

The area of the rectangle , A = 588 cm^2

Therefore , the height of the rectangle , h = A/b

=588/28 cm = 21 cm .

You haven't provided a graph or equation so I will tell the simplified meaning of amplitude instead.

Amplitude, is basically a distance from midline/baseline to the maximum or minimum point.

For sine function, can be written as:

[tex] \displaystyle \large{ y = A \sin(bx - c) + d}[/tex]

I am not able to provide an attachment for an easy view but I will try my best!

We know that amplitude or A is a distance from baseline/midline to the max-min point.

Let's see the example of equation:

[tex] \displaystyle \large{y = 2 \sin x}[/tex]

Refer to the equation above:

Thus, the baseline or midline is y = 0 or x-axis.

You can also plot the graph on desmos, y = 2sinx and you will see that the sine graph has max points at 2 and min points at = -2. They are amplitude.

So to conclude or say this:

If Amplitude = A from y = Asin(x), then the range of function will always be -A ≤ y ≤ A and have max points at A; min points at -A.

Answer:

Step-by-step explanation:

Answer:

point b is located at -0.905 . If it was -0.95 then it would be point A

Answer:

point B

I hope it's helps you

Answer: The perimeter is 16 units

Step-by-step explanation:

Answer:

hi,

Step-by-step explanation:

Let say P=(x,y) a point of the locus

[tex]Distance\ from\ P\ to\ (2,1)= \sqrt{(x-2)^2+(y-1)^2} \\Distance\ from\ P\ to\ (1,2)= \sqrt{(x-1)^2+(y-2)^2} \\\\\sqrt{(x-2)^2+(y-1)^2} =2*\sqrt{(x-1)^2+(y-2)^2} \\\\(x-2)^2+(y-1)^2=4*((x-1)^2+(y-2)^2)\\\\3x^2-4x+3y^2-14y+15=0\\\\[/tex]

[tex]3x^2-4x+3y^2-14y+15=0\\3(x^2-2*\dfrac{2}{3} x)+3(y^2-2*\dfrac{7}{3}*y) +15=0\\3(x^2-2*\dfrac{2}{3}*x+\dfrac{4}{9})+3(y^2-2*\dfrac{7}{3}*y+\dfrac{49}{9} ) +15-\dfrac{4}{3}-\dfrac{49}{3}=0\\\\3(x-\dfrac{2}{3})^2+3(y-\dfrac{7}{3})^2-\dfrac{8}{3}=0\\\\\\\boxed{(x-\dfrac{2}{3})^2+(y-\dfrac{7}{3})^2=\dfrac{8}{9}}\\\\[/tex]

Locus is the circle of center (2/3,7/3) and radius =2√2  /3.

Answer:

3cm

Step-by-step explanation:

A particular satellite is 15 m wide

Model of it was built with a scale of 1 cm: 5 m

=> scale of the model will be: 1/500cm and  A particular satellite is 1500 cm wide

=>1500*1/500=3(cm)

Answer:

17/5

Step-by-step explanation:

23=5x+6

23-6=5x

17=5x

X=17/5

The value of x in the line segment TV is 8 units.

A line segment is a subset of a line which has two endpoints.

According to the question a line  segment TV is given which is of 5x + 6 units.

TU is also given which is 23 units.

U is the midpoint of TV this implies that UV is also 23 units.

Now, we know that TV = TU + UV.

5x + 6 = 23 + 23.

5x + 6 = 46.

5x = 46 - 6.

5x = 40.

x = 40/5.

x = 8 units.

learn more about line segments here :

https://brainly.com/question/25727583

#SPJ2

Answer:

160 yards total

Step-by-step explanation:

https://i1.wp.com/caffeinequeenteacher.com/wp-content/uploads/2014/12/cubes-math-strategy-for-word-problems-blog-image.jpeg?resize=1032%2C1536&ssl=1      that link show you what cubes method is. You can take my answer and put it into cubes method form.

[tex]\\ \sf\longmapsto \dfrac{5}{12}[/tex]

[tex]\\ \sf\longmapsto 0.4166[/tex]

[tex]\\ \sf\longmapsto 0.417[/tex]

[tex]\\ \sf\longmapsto 0.42[/tex]

Step-by-step explanation:

0.417 round to the nearest hundredth

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

$120.00

Step-by-step explanation:

brainliest please

Answer:

x^2+2=0 or x^2−6=0

Step-by-step explanation:

x^4-4x^2-12=0

(x^2+2)(x^2−6)

x^2+2=0 or x^2−6=0

Answer:

x=6

Step-by-step explanation:

Hope It Help!

Thanks

Answer:

1.)

A.) phase shift is c = 6  

B.) Vertical shift is 21 units down  

C.) The amplitude is 5 from the midline at y = -21  

D.) The period is 16 and the frequency factor is pi/8  

E.) 5 cos(pi/8(x - 6)) - 21

2.)

Answer:

A.) Vertical shift is 12 units down

B.) The amplitude is 10

C.) The period is 6 and the frequency factor is pi/3

D.) Equation: y = 10sin(pi/3(x)) + 12

Answer:

1.)

A.) phase shift is c = 6  

B.) Vertical shift is 21 units down  

C.) The amplitude is 5 from the midline at y = -21  

D.) The period is 16 and the frequency factor is pi/8  

E.) 5 cos(pi/8(x - 6)) - 21

2.)

Answer:

A.) Vertical shift is 12 units down

B.) The amplitude is 10

C.) The period is 6 and the frequency factor is pi/3

D.) Equation: y = 10sin(pi/3(x)) + 12

Step-by-step explanation:

Hey there!

The quotient of 8595 ÷ 24 would be 358.125.

Hope this helps!

Have a great day!

Answer:

1/2.

Step-by-step explanation:

When pattern 2 is 2,  pattern 1 is 4 so its 2/4 = 1/2.