probability please help i will give brainliest

Answer:

the product of the 2 numbers is 22

Step-by-step explanation:

x² + y² = 80

(x - y)² = 36

=>

x - y = 6

or y - x = 6

let's start with the first one x-y=6

x = 6 + y

=>

(6+y)² + y² = 80

y² + 6y +6y + 36 + y² = 80

2y² + 12y + 36 = 80

2y² + 12y - 44 = 0

y² + 6y - 22 = 0

the solution of a quadratic equation

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case here we have an squadron in y.

a=1

b=6

c=-22

(-6 ± sqrt(36 + 4×22))/2 = (-6 ± sqrt(36+88))/2 =

= (-6 ± sqrt(124))/2 = (-6 ± sqrt(4×31))/2 =

= (-6 ± 2×sqrt(31))/2 = -3 ± sqrt(31)

y1 = -3 + sqrt(31)

y2 = -3 - sqrt(31)

=>

x1 = 6 + -3 + sqrt(31) = 3 + sqrt(31)

x2 = 3 - sqrt(31)

control :

(-3 + sqrt(31))² + (3 + sqrt(31))² = 80

9 - 3 sqrt(31) - 3 sqrt(31) + 31 + 9 +3 sqrt(31) + 3 sqrt(31) + 31 = 80

9 + 31 + 9 +31 = 80

18 + 62 = 80

80 = 80 correct

solving now for y-x=6

delivers exactly the same calculations, just with x and y trading places.

so, the resulting 2 number pairs are the same.

the product of the 2 numbers :

(3 + sqrt(31))(-3 + sqrt(31)) = -9 - 3 sqrt(31) + 3 sqrt(31) + 31 =

= -9 + 31 = 22

(3 - sqrt(31))(-3 - sqrt(31)) = -9 + 3 sqrt(31) - 3 sqrt(31) + 31 =

= 22

so, the product is the same in both cases.

Answer:

Line A

Step-by-step explanation:

A line of symmetry is a line that divides a shape into exactly two equal halves.

A triangle is a polygon with three sides and three angles. A scalene triangle has no lines of symmetry, an isosceles triangle has more than one line of symmetry while an equilateral triangle has three lines of symmetry.

From the diagram we can see that line A divides the figure into two equal halves, hence line A is the line of symmetry.

m=y2-y1/x2-x1

7-(-2)/a-6=-3

9/a-6=-3

9=3a-18

3a=162

a=54

Answer:

= -5[tex]x^{4}[/tex] - 1/5

0r

-5[tex]x^{4}[/tex] - 0.2

Step-by-step explanation:

Volume of a rectangular prism = area of base x height

-5[tex]x^{5}[/tex] - 1 = 5x + 5 x area of the base

to determine the area of the base, divide both sides of the equation by (5x + 5)

area of the base =  (-5[tex]x^{5}[/tex] - 1)  / (5x + 5)

= -5[tex]x^{4}[/tex] - 1/5

0r

-5[tex]x^{4}[/tex] - 0.2

Answer:

32

Step-by-step explanation:

d6 plus four nine its wrong "+_)

Answer: if you mean Inches, its 25.

Answer:

36 inches or 1 yard

Step-by-step explanation:

Answer:

[tex] \frac{1}{ {6}^{8} } [/tex]

Step-by-step explanation:

when the is a base raised to a negative power.....put it under 1 and the negative power now becomes a positive power

Example: 5^-2 = 1/5^2

Answer:

Answer:

You divide 62/12=5.166

Answer:

15) The length of the line segment DE is 14.908.

16) The measure of the angle W is approximately 31.792°.

17) The length of the ladder is approximately 23.182 feet.

Step-by-step explanation:

15) We present the procedure to determine the length of segment DE:

(i) Determine the length of the line segment DF by trigonometric relations:

[tex]\tan C = \frac{DF}{CF}[/tex] (1)

([tex]C = 61^{\circ}[/tex], [tex]CF = 24[/tex])

[tex]DF = CF\cdot \tan C[/tex]

[tex]DF = 24\cdot \tan 61^{\circ}[/tex]

[tex]DF \approx 43.297[/tex]

(ii) Determine the length of the line segment DE by trigonometric relations:

[tex]\tan F = \frac{DE}{DF}[/tex] (2)

([tex]DF \approx 43.297[/tex], [tex]F = 19^{\circ}[/tex])

[tex]DE = DF\cdot \tan F[/tex]

[tex]DE = 43.297\cdot \tan 19^{\circ}[/tex]

[tex]DE \approx 14.908[/tex]

The length of the line segment DE is 14.908.

16) We present the procedure to determine the measure of the angle W:

(i) Determine the length of the line segment XZ by trigonometric relations:

[tex]\sin Z = \frac{XY}{XZ}[/tex] (3)

([tex]XY = 15[/tex], [tex]Z = 25^{\circ}[/tex])

[tex]XZ = \frac{XY}{\sin Z}[/tex]

[tex]XZ = \frac{15}{\sin 25^{\circ}}[/tex]

[tex]XZ \approx 35.493[/tex]

(ii) Calculate the measure of the angle W by trigonometric relations:

[tex]\tan W = \frac{XZ}{WZ}[/tex] (4)

([tex]XZ \approx 35.493[/tex], [tex]WZ = 22[/tex])

[tex]W \approx \tan^{-1} \left(\frac{22}{35.493}\right)[/tex]

[tex]W \approx 31.792^{\circ}[/tex]

The measure of the angle W is approximately 31.792°.

17) The system form by the ladder, the ground and the wall represents a right triangle, whose hypotenuse is the ladder, which is now found by the following trigonometric relation:

[tex]\cos \theta = \frac{x}{l}[/tex] (5)

Where:

[tex]\theta[/tex] - Angle of the ladder above ground, in sexagesimal degrees.

[tex]x[/tex] - Distance between the foot of the ladder and the base of the wall, in feet.

[tex]l[/tex] - Length of the ladder, in feet.

If we know that [tex]x = 6\,ft[/tex] and [tex]\theta = 75^{\circ}[/tex], then the length of the ladder is:

[tex]l = \frac{x}{\cos \theta}[/tex]

[tex]l = \frac{6\,ft}{\cos 75^{\circ}}[/tex]

[tex]l \approx 23.182\,ft[/tex]

The length of the ladder is approximately 23.182 feet.

Answer:

65%in a whole examination

Answer:

ok to do this we multiple 60 times 60 to get 3600

now we multiple this by 120

432000

now we divide this by 4

108000

so the volume of the first step is 108000 cm cubed

Answer:

the surface area is 3140 square feet

Step-by-step explanation:

The computation of the surface area is given below:

Given that

Diameter = 20 feet

radius =  20 ÷ 2 = 10 feet

Surface area =  

= 2 × 3.14 × (10)^2 + 2 × 3.14 × 10 × 40

= 6.28  × 100  + 6.28  × 400

= 628 + 25.12  × 100

= 628+ 2512

= 3140 square feet

hence, the surface area is 3140 square feet

The surface area is 3140 feet².

Surface area is the amount of space covering the outside of a three-dimensional shape.

Given that:

Diameter = 20 feet

radius =  20 ÷ 2 = 10 feet

Now, Surface area  will be,

=2πr²+ 2πrh

= 2 × 3.14 × (10)² + 2 × 3.14 × 10 × 40

= 6.28  × 100  + 6.28  × 400

= 628 + 25.12  × 100

= 628+ 2512

= 3140 feet²

hence, the surface area is 3140 feet².

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Answer:

P = 2(n - 6) + 2(n^2 - 8)

Step-by-step explanation:

Remembering that Area = Length times Width, we factor the given function

A = n^3 - 6n^2 - 8n + 48 in the expectation that the resulting factors represent the length and width respectively:

A = n^3 - 6n^2 - 8n + 48 factors as follows:

A = n^2(n - 6) - 8(n - 6), or A = (n - 6)(n^2 - 8)

We can label '(n - 6)' "width" and '(n^2 - 8'

length.

Then the perimeter, P, of the rectangle is P = 2(length) + 2(width). which works out here to:

P = 2(n - 6) + 2(n^2 - 8)

Answer:

[tex]\dfrac{1}{6.25} = \dfrac{t}{25}[/tex]

Step-by-step explanation:

A proportion is setting two ratios to be equal to each other.

You are given the price of 1 ticket, so you can set up a ratio of price to ticket.

$6.25 to 1 ticket, or [tex] \dfrac{6.25}{1} [/tex]

The other ratio involves the $25 and the unknown number of tickets, t, $25 can buy.

$25 to t tickets, or [tex] \dfrac{25}{t} [/tex]

To write a proportion, set the two ratios equal.

[tex] \dfrac{6.25}{1} = \dfrac{25}{t} [/tex]

This proportion does not appear in the choices.

Take the reciprocal of both sides.

[tex]\dfrac{1}{6.25} = \dfrac{t}{25}[/tex]

The focus is the point inside a parabola that helps determine the shape of the curve.

A parabola is an equation of a curve, such that any point on the curve is equidistant from a fixed point called the focus and a fixed line called the directrix of the parabola.

The equation of a parabola:

y = a(x - h)² + k

We have,

A parabola is a type of curve that is formed when a plane intersects a cone at an angle that is parallel to one of the cone's sides.

One of the key defining features of a parabola is that all points on the curve are equidistant from a fixed point, known as the focus, and a fixed line, known as the directrix.

The focus is located inside the parabola, and its distance from the directrix is equal to the distance from any point on the parabola to the directrix.

This property allows us to use the focus and directrix to determine the shape and location of the parabola.

Thus,

The focus is the point inside a parabola that helps determine the shape of the curve.

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Answer:

16 degrees

Step-by-step explanation:

62= 46+x

16=x

Ans:40.8°

Step-by-step explanation:

sin(x)=17/26

x<π/2

x=0.7126... or 2.4289...

But x=2.4289...>π/2

So only 0.7126... meets

(0.7126.../π)*180°≈40.8°

so the answer is 40.8°

Answer:

Step-by-step explanation:

Lateral area, Al = a√(a² + 4h²)

Where,

a = base edge = 5 in

h = height = 10 in

Lateral area, Al = a√(a² + 4h²)

= 5√(5² + 4*10²)

= 5√(25 + 4*100)

= 5√(25 + 400)

= 5√425

= 5 * 20.615528128088

= 103.07764064044

Approximately,

Lateral area = 103.08 in²

Answer: 100

Step-by-step explanation: each side has an area of 10*5/2, or 25, and there are 4 lateral sides, so times 4, it's 100

Answer:

5

Step-by-step explanation:

30 x 5=150

then you buy 3, 50 pound bags: 3 x 50= 150

150+150=300

Answer:

5

Step-by-step explanation:

five is the only number(less then 10) that you can multiply by 30 to get a multiple of five

30x5=150

then you buy 3, 50 pound bags: 3x50= 150

150+150=300

Answer:

12x²y(2xy - 1)

Step-by-step explanation:

Given

24x³y² - 12x²y ← factor out 12x²y from each term

= 12x²y(2xy - 1)

QUËSTIONS:- find the slope of the line represented by the data

ANSWER:-

[tex]SLOPE = \frac{y2 -y1}{x2 - x1} \\ SLOPE = \frac{3 - 9}{4 - 2} [/tex]

[tex]SLOPE = \frac{ - 6}{2} \\ SLOPE = - 3 \: \: ans[/tex]

Answer:

-3

Step-by-step explanation:

Slope(m)=-6/2

=-3/1

=-3

Hope this helps!

========================================================

Explanation:

Plug in x = -1 to find that

f(x) = 2|x-1|

f(-1) = 2|-1-1|

f(-1) = 2|-2|

f(-1) = 2*(2)

f(-1) = 4

If you repeat for x = 1, you should find that f(1) = 0

--------

Now use the average rate of change formula below. Effectively, we're using the slope formula more or less.

[tex]m = \frac{f(b)-f(a)}{b-a}\\\\m = \frac{f(1)-f(-1)}{1-(-1)}\\\\m = \frac{0-4}{1+1}\\\\m = \frac{-4}{2}\\\\m = -2\\\\[/tex]

The average rate of change on this interval is -2

This is the same as finding the slope through the points (-1, 4) and (1, 0).

very easy my friendStep-by-step explanation:

Answer:

III

Step-by-step explanation:

you got this, man! good luck [:

Answer:

2.208 kg

Step-by-step explanation:

Total mass of glass marble

= 18.5×48

= 888 g

Total mass of steel marble

= 66×20

= 1320 g

Total mass of 68 marble including steel 20 and glass 48

= 888 + 1320

= 2208 g

In kilograms 2208

= 2.208 kg

Please mark as brainliest answer

Answer:

8$ divided by 4.which is equal to 2

Answer:

B) Rotation

Step-by-step explanation:

The arrows at the end of each line imply a line, not a line segment. Since the they both pass through the origin, they rotate about the origin, hence B) Rotation.

Answer:

A I'm about 89% certain that's a vertical translation

Answer:

32.7 degrees

Step-by-step explanation:

This polygon has 11 sides.

The measure of all exterior angles adds up to 360.

Find the measure of a single exterior angle by dividing 360 by the number of sides.

360/11 ≈ 32.7

The measure of a single exterior angle of the given regular polygon is 32.5 degrees

We have given that the diagram of regular polygon shown below

and, we have to find the measure of a single exterior angle.

Therefore we have the given polygon has 11 sides.

The angle between a side of a rectilinear diagram and adjacent side extended outward.

The measure of all exterior angles adds up to 360.

We have to find the measure of a single exterior angle by dividing 360 by the number of sides

So we get,[tex]360/11 = 32.7[/tex]

Therefore, the measure of a single exterior angle of the given regular polygon is 32.5 degrees.

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