What is the simplified expression for Negative 2 a squared b + a squared minus 5 a b + 3 a b squared minus b squared + 2 (a squared b + 2 a b)?

Answer:

End points of the this segment are (9,1) and (2,3).

Step-by-step explanation:

The given function is

[tex]y=h(x)[/tex]

End points of the this segment are (1,9) and (3,2).

If a function is defined as

[tex]f=\{(a,b),a\in R,b\in R\}[/tex] then

[tex]f^{-1}=\{(b,a),a\in R,b\in R\}[/tex]

It means, we have to interchange x and y-coordinates of the end points.

So, end points of the this segment are (9,1) and (2,3).

Plot these point and join them by a line segment.

The inverse of the function will be a line segment joining the points (9,1) and (2,3). See the graph.

Given information:

The function y=h(x) is a line segment joining the points (1,9) and (3,2).

So, the endpoints of the function y=h(x) can be written as,

[tex]y=h(x)=\{(1,9),(3,2)\}[/tex]

The inverse of a function is simply the opposite relation. In the inverse, the range and domain interchange themselves.

So, the inverse of the given function can be written as,

[tex]y=h^{-1}(x)=\{(9,1),(2,3)\}[/tex]

Refer to the graph of the function for more details.

For more details, refer to the link:

https://brainly.com/question/10300045

Answer:

This is a permutation problem because the order of their choice is important.

There are 210 ways in which this choice can be made.

Step-by-step explanation:

Complete Correct Question

Decide if the following scenario involves a permutation or combination. Then find the number of possibilities. Cody and Aaliyah are planning trips to two countries this year. There are 15 countries they would be interested in visiting. One trip will be one week long and the other two weeks.

Solution

Permutation is used to calculate the number of possibilities or number of ways k choices can be made from n options given that the order of picking the choices is important. If there are choices A, B and C, picking ABC is different from CAB if order of picking is important like permutation preaches.

Combination on the other hand, is used to calculate the number of possibilities or number of ways k choices can be made from n options given that the order of picking the choices is unimportant. If there are choices A, B and C, picking ABC is the same as picking CAB if order of picking is unimportant like combination preaches.

So, in this question, Cody and Aaliyah want to pick 2 countries to visit, out of 15. They plan to spend 2 weeks in one country and 1 week in the other country.

This last sentence makes the order in which they pick the countries to visit important. If they chose to spend two weeks in country A and one week in country B, it is now a different possibility from spending two weeks in country B and one week in country A.

Hence, this is a permutation problem

The number of possibilities of picking 2 countries out of 15 countries to spend 2 weeks in first country and spend 1 week in the other country is ¹⁵P₂ = 15! ÷ (15 - 2)!

= 210 ways in which this choice can be made.

Hope this Helps!!!

Answer:

p=1/5

remove brackets

-5p-3=-4

move constant to right

-5p=-4+3

-5p=-1

divide both sides by -5

p=1/5

Answer:

1/5

Step-by-step explanation:

We can use solving for variables here.

-5(p+3/5)=-4

-5p+-3=-4

p=1/5

Answer:

44.957

Step-by-step explanation:

All we can do is estimate √3 and then exponent 9 by it.

Alternatively, plug it into a calc and calculate.

The conversion rate is 1cm to 4km, or 1:4.

Because we know the conversion rate, we can use this ratio to calculate the map distance.

If the distance between the two towns is 28km, then we can use the conversion rate to calculate the distance on the map.

28 / 4 = 7

Therefore, the distance between the two towns on a map is 7cm.

Hope this helped! :)

Answer:

Step-by-step explanation:

1cm……..4km

x…………28km

x=28km*1cm/4km

Answer:

400cm³ of cardboard is required to make the box

Step-by-step explanation:

Hello,

To find the the size of cardboard required to make the box we need to know the shape of the box. This is to enable us calculate the volume of the box.

Data;

Length = 10cm

Width = 8cm

Height = 5cm

This dimension corresponds to that of a cubiod.

Volume of a cubiod = length × width × height

Volume of the box = 10 × 8 × 5

Volume of the box = 400cm³

The volume of the box is 400cm³

About 400cm³ of cardboard is needed to make the box

Answer:

[tex]c=2\frac{1}{3}[/tex]

Step-by-step explanation:

[tex](-9c)-4=-25\\(-9c)=-21\\9c=21\\c=21/9=2\frac{1}{3}[/tex]

Answer:

angle BEF = 100 degrees

Step-by-step explanation:

For a regular 9-sided polygon (nonagon),

each exterior angle = 360/9=40 degrees

each interior angle = 180-40 = 140 degrees.

Referring to diagram, in the trapezoid (trapezium) BCDE, the base angles are 180-140 = 40 degrees.

Therefore angle DEB = 40 degrees

that leaves BEF = 140-40 = 100 degrees

Answer:

Step-by-step explanation:

Please try reposting with a picture so brainly users can help answer this question :)

The measure of angle < EFD = 47.5 degrees.

Option C is correct.

An "arc" in mathematics is a straight line that connects two endpoints. An arc is typically one of a circle's parts. In essence, it is a portion of a circle's circumference.

As, we know

The angle that an arc subtends at its centre is double that of its circumference.

In other words, the angle at the centre is twice as large as the angle at the perimeter.

So,  <EFD = 95/2

or, <EFD = 47.5 degrees.

Learn more about Arc here:

https://brainly.com/question/18741430

#SPJ5

Answer:

Step-by-step explanation:

The figures that come to a point (cone, pyramid) only have one base. The others have two:

  cylinder

  rectangular prism

  triangular prism

Answer:

B-cylinder

C-rectangular prism

E-triangular prism

Step-by-step explanation:

Got it right on edge unit test

Answer:

1) Qs= 24.4 cm

2) Perimeter= 72.8 m

Step-by-step explanation:

1).let qs= qos

Op is the height of the the triangle

Op= ,6.8cm

Angle ops = 180-(90+50)

Angle ops = 180-140

Angle ops = 40

Os/sin ops= op/sin pso

Os/sin 40= 6.8/sin 50

Os = sin 40(6.8)/sin50

Os= 0.6428(6.8)/0.7660

Os= 5.71

Angle oqp = 180-(90+70)

Angle oqp = 180-160.

Angle oqp = 20

Oq/sin qpo = op/sin oqp

Oq/sin 70=6.8/sin 20

Oq= sin70(6.8)/sin20

Oq= 0.9397(6.8)/0.3420

Oq= 18.68

Qs= os +oq

Qs= 5.71+18.68

Qs= 24.39

Qs= 24.4 cm

2). The other angle of the triangle

=180-90-53

= 37

Sin90 = 1

Let the length and breadth be x and y

X /sin 53 = 26

X= 26(sin53)

X= 26(0.7986)

X= 20.7636

Y/sin 37 = 26

Y= 26(0.6018)

Y= 15.6468

Perimeter= 2(x+y).

Perimeter= 2( 20.7636+15.6468)

Perimeter= 2(36.4104)

Perimeter= 72.8208 m

Perimeter= 72.8 m

Answer:

The length and breadth are 14 cm and 10 cm

Answer:

P = 0.4688 = 46.88%

The probability that a randomly selected high school student plays organized​ sports is 0.4688.

Step-by-step explanation:

We are given that a survey of 900 randomly selected high school students determined that 422 play organized sports.

​(a) What is the probability that a randomly selected high school student plays organized​ sports?

We know that the probability of an event is given by

P = Number of desired outcomes/total number of outcomes

For the given case, the desired outcomes are those students who play organized sports and the total number of outcomes are 900 randomly selected high school students who were surveyed.

So the probabilty is

P = 422/900

P = 0.4688

P = 46.88%

​(b) Interpret this probability

There is a 46.88% chance of randomly selecting a high school student who plays organized sports or in other words, if we randomly choose a high school student then there is a 46.88% probability that the selected student plays organized sports.

Answer:

19

Step-by-step explanation:

M is the center of the triangle, means that MR=MQ=PM

and M is the in center of the triangle=MS=MT=MU=19

Answer:

17.5 units

Step-by-step explanation:

a² + b²= c²

9² + 15² = c²

81 + 225 = c²

c² = 306

c = √306

c = 17.5

Answer:

From the graph, the y-intercept is 9 and the slope is -1 so the equation is y = -x + 9. We know the slope is -1 because when x goes up by 1, y decreases by 1.

Step-by-step explanation:

When we know both the x- and y-intercepts of a line, we can conveniently use the intercept form.

Let

A=x-intercept=9

B=y-intercept=9

the intercept form of the equation is therefore

x/A + y/B =1

substituting numerical values,

x/9 + y/9 =1  ..........................(1)

Factoring the identical denominators

(x+y)/9 = 1

Cross multiply

x+y = 9  ...............................(2)

Both (1) and (2) are valid forms of equation of the given line.

Answer:

c: the point -2,-4 is minimum

Step-by-step explanation:

Answer:

25.5°

Step-by-step explanation:

the sum of angle NMR and MRS is 180, so

2x + x + x + 78 = 180

4x = 180 - 78

4x = 102

x = 102/4 = 25.5°

Answer:

P(-2 ≤ x ≤ 2) = .6

Step-by-step explanation:

Given

The data in the above table

Required

Find P(-2 ≤ x ≤ 2)

To solve for P(-2 ≤ x ≤ 2); we have to consider the boundary covered by the interval

The interval -2 ≤ x ≤ 2 according to the table is -2 , 0 and 2

Solving further;

P(-2 ≤ x ≤ 2) = P(-2) + P(0) + P(2) ----- (1)

From the table;

P(-2) = .33

P(0) = .16

P(2) = .11

Substitute these values in (1) above

P(-2 ≤ x ≤ 2) = P(-2) + P(0) + P(2) becomes

P(-2 ≤ x ≤ 2) = .33 + .16 + .11

P(-2 ≤ x ≤ 2) = .6

Answer:

B and  C

Step-by-step explanation:

Since all of it's sides are unequal, it is a scalene triangle.

It has 1 obtuse angle, so it is an obtuse angled triangle.

Answer:

the correct answer is circles

Step-by-step explanation:.

Answer:

Options (1) and (2)

Step-by-step explanation:

In 3-dimensional geometry,

Skew lines are lines which do not intersect and are not parallel.

From the given triangular prism,

Option (1). RS and TU

Sides RS and TU are neither parallel nor intersect each other.

Therefore, these lines are skew lines.

Option (2).QR and SV

Since QR and SV neither intersect nor parallel,

These lines are the skew lines.

Option (3) RS and RU

Since RS and RU intersect at R therefore, they are not the skew lines.

Option (4).RS and UV

Since RS and UV are the parallel lines therefore, they are not the skew lines  .

If you stretch on the y-axis then you are increasing/decreasing values at a every x.

The new function is therefore:

[tex]g(x)=3\cdot2^x[/tex]

Hope this helps.

Answer:

C

Step-by-step explanation:

To make it easy let's start by organizing our information :

What do you think of when you hear a right triangle ?

AC and BD  are khown so let's focus on them .

If we concentrated we can notice that AB and BD are cossing each other in the midpoints . why ?

Simply because they are the diagonals of a rhombus .

ow let's apply the pythagorian theorem :

Now we khow that : AB=BC=CD=AD=[tex]\sqrt{52}[/tex]

This isn't enough . Let's try to figure out a way to calculate the length of KL  wich is the base of the triangle

I smell something . yes! Thales theorem

Now we have the length of the base kl

Now the big boss the height :

What I want to do is to apply the pythgorian thaorem to khow the lenght of that small part that is not a part of the height of the triangle . I will call it D

now the height of the trigle is H= BD-D= 8-2=6

NOw the area of the triangle is :

THE ANSWER IS 18 SQ.UN

Hello!

Answer:

(x + 1).

Step-by-step explanation:

Begin by using the rational root theorem to find possible factors of this equation.

We get the following:

±1, ±3, ±1/2, ± 3/2

We can use synthetic division to check numbers to see if they are a factor of the equation. After checking the possible numbers, -1 was found to produce a remainder of 0 when calculated:

-1 | 2    1     -4     -3

  +      -2     1       3

    2    -1     -3      0

Therefore, x = -1 is a possible root of this equation. Writing this as a factor would become:

x = -1

x + 1 = 0

(x + 1) is the factor.

I hope this helped you!

Answer:

The correct option is;

Marcel did not put the first and second term in the same order

Step-by-step explanation:

From the multiplication table the equivalent ratios of two numbers can be found given that the two numbers have the same factors which is true if the numbers are on the same column in the multiplication table

Therefore, having the numbers ratio presented in the form 72:24 which are on the row labelled 3 and the row labelled 9, we have that the 72 is on row 9 while the 24 is on row 3, for which on the second column, we have 6:18

However the ordering of the ratio gives the value on the 9th column first before the value on the 3rd column, so that the correct result should be 18:6

The error was that Marcel did not put the first and second term in the same order.

Answer:

C

Step-by-step explanation:

Answer:

1.619

Step-by-step explanation:

We have the formulas for the volume of the sphere and the cylinder:

Vs = (4/3) * pi * (r ^ 3)

Vc = pi * h * (r ^ 2)

Thus:

(4/3) * pi * (r ^ 3) + pi * h * (r ^ 2) = 10

Now, the formula for the surface area of the cylinder and sphere are:

As = 4 * pi * (r ^ 2)

Ac = 2 * pi * r * h + 2 * pi * r ^ 2

Using this equation for the total surface area of the solid, we can see that as "h" increases, so will the surface area. Therefore, the smallest surface area will occur at h = 0.

Thus:

(4/3) * pi * (r ^ 3) + pi * 0 * (r ^ 2) = 10

(4/3) * pi * (r ^ 3) = 10

r ^ 3 = 4 * 10 / (3 * 3.14)

r ^ 3 = 4.24

r = 1.619

so the radius is 1.619

Answer:

x = 60, y = 50

Step-by-step explanation:

60 + 50 = 110 + 70 = 180.

50 + 70 = 120 + 6 = 180.

Therefore 50 + 70 + x = 60

Therefore 70 + 60 + y = 50

Answer:

Step-by-step explanation:

Angles in a triangle add up to 180 degrees.

x + 70 + 50 = 180

x + 120 = 180

x = 60

The other triangle's missing angle:

180 - 60 - 50 = 70

Angles on a straight line add up to 180 degrees.

70 + x + y = 180

We know the value of x.

70 + 60 + y = 180

Solve for y.

130 + y = 180

y = 180 - 130

y = 50

Answer:

The answer is no

Step-by-step explanation:

no

Answer:

area of sector:

[tex] \frac{theta}{360} \times \pi \: {r}^{2} [/tex]

[tex] \frac{165}{360} \times \frac{22}{7} ( {8}^{2} )[/tex]

[tex] \frac{11}{24} \times \frac{1408}{7} [/tex]

[tex] \frac{1936}{21} [/tex]

[tex]92.19 \: {in}^{2} [/tex]

Answer:

the area of the sector can be rounded to [tex]92.2\,\,in^2[/tex]

Step-by-step explanation:

Use the fraction of the area of the circle associated with the red sector. Use a proportion to find the appropriate fraction knowing that a full circle [tex](360^o)[/tex] corresponds to the area:

[tex]Area=\pi\,R^2=\pi\, (8\,in)^2= 64\, \pi\,\,in^2[/tex]

then the proportion goes like:

[tex]\frac{64\,\pi\,\,in^2}{360^o} =\frac{sector}{165^o} \\ sector=\frac{64\,\pi\,165^o}{360^o}\,\,in^2\\sector\approx 92.15\,\,in^2[/tex]

Therefore, the area of the sector can be rounded to [tex]92.2\,\,in^2[/tex]