Segment AB has length "a" and is divided by points P and Q into AP, PQ, and QB, such that AP = 2PQ = 2QB.
a) Find the distance between point A and the midpoint of segment QB
b) Find the distance between the midpoints of segments AP and QB

Answer:

Step-by-step explanation:

Firstly, I believe that the equation should be represented as [tex]8x^{3} -6x^{2} y^{2} +4x^{2}y[/tex] and [tex]2x^{2} .[/tex] Please correct me if I am wrong and I will fix the equation accordingly.

To find the greatest common factor of this equation, we firstly need to factor the polynomial [tex]8x^{3} -6x^{2} yx^{2} +4x^{2} y[/tex]. To do this:

1. Find a GCF for all of the coefficients of the equation. To do this, you can make factor trees, or you can simply just use the prime factorization method.

The prime factorization method is simply a technique used to list the prime numbers used to find the total value. For example, what two prime numbers do you multiply to get four? 2 and 2. 2 is a prime number.

The prime factorization for each of the coefficients is as follows.

8: 2³

6: 2 · 3

4: 2²

We have 2s as values in every prime factorization, but we only one of each. We must take the greatest common value, and 2 is this value. So, our GCF coefficient is 2.

Now, we look at our x variables and y variables.

For x, we have x³ and x². So, our GCF is x².

Our GCF is now 2x². Now, let's look at our y-variables.

We don't have y variables for our entire polynomial, so it can't be a common factor. Therefore, our GCF is 2x².

Answer:

False

Step-by-step explanation:

This statement is false.

The set of whole numbers include the set of Natural numbers "N" = {1, 2, 3, 4, 5, 6, ...}, the set of the negatives of the natural numbers: {-1, -2, -3, -4,...}, and the zero: {0}

We see then that the set of Natural numbers is a subset of the set of whole numbers Z = {... -4,-3,-2,-1, 0,1, 2, 3, 4, 5, ...}

Answer:

false

brainliest to me!

Step-by-step explanation:

0 is a whole number but not a natural number so its false!

Answer:

Step-by-step explanation:

We will use the general area formula for finding the area of triangle when you are given information for SAS, which we have been.

[tex]A=\frac{1}{2}absinC[/tex] , where a and b are the given side lengths and C is the included angle. You can ONLY use this when you have the info for SAS in a triangle. For us,

a = 17, b = 15 and C = 35 degrees.  Filling in:

[tex]A=\frac{1}{2}(17)(15)sin35[/tex]

Do that on your calculator in degree mode and you'll find the area to be

73.1 meters squared

Answer:

B.

Step-by-step explanation:

= [tex]\sqrt[4]{9} ^{x/2}[/tex]

= Since [tex]\sqrt[4]{} = 1/4[/tex]

= So,  [tex]9^{1/4*x/2}[/tex]

= [tex]9^{\frac{x}{8}[/tex]

Answer:

option B

Step-by-step explanation:

[tex](\sqrt[4]{9})^{\frac{1}{2}x} =(9^{\frac{1}{4}})^{\frac{1}{2}x}\\\\=9^{\frac{1}{4}*\frac{1}{2}x}\\\\=9^{\frac{1}{8}x}[/tex]

Answer:

-8y = 6

Step-by-step explanation:

-6x+4y = -8

6x -12y = 14

Add the equations

-6x+4y = -8

6x -12y = 14

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

0x -8y = 6

Answer:

Negative 8 y = 6

Step-by-step explanation:

6x + 4y = - 8.... (1)

6x -12y = 14....... (2)

Adding (1) & (2)

- 6x + 4y = - 8

6x - 12y = 14

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

0x -8y = 6

= - 8y = 6

Hope this helps!

Answer:

(1,1)

This is the answer

Answer:

y = 1/4 x -3

Step-by-step explanation:

The y intercept ( or where it crosses the y axis ) is -3

Pick 2 points to find the slope

(0,-3) and (4,-2)

The slope is

m = (y2-y1)/(x2-x1)

   = (-2 --3)/ (4-0)

   = (-2+3)/4

   1/4

The slope intercept form of the equation is

y = mx+b where m is the slope and b is the y intercept

y = 1/4 x -3

Answer:

A. 2[tex]\sqrt{3}[/tex]

Step-by-step explanation:

cos 60° = y / 4[tex]\sqrt{3}[/tex]

cos 60° = 1/2

y = 2[tex]\sqrt{3}[/tex]

Answer: the correct answers is $14.50

Step-by-step explanation:

The amount that the cafe pays per hour will be $14.50 per hour.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

In another word, a linear function is a function that varies linearly with respect to the changing variable.

As per the given,

The rate of the library = $13 per hour.

For 12.5 hours.

Earning from library = 13 x 12.5 = $162.5

Cafe pay per hour = x

For 20.5 hours.

Earning from cafe = 20.5x

Total earning = 162.5 + 20.5x

20.5x = 459.75 - 162.5

x = 14.5

Hence "The amount that the cafe pays per hour will be $14.50 per hour".

For more about the linear function,

brainly.com/question/21107621

#SPJ2

Answer:

26miles

Step-by-step explanation:

Let Nina's husband's (Ed) mileage = x miles

Nina = (x + 6) miles

Combined mileage = 46

Nina's miles + Ed's miles = 46

x + (x+6) = 46

x+x+6 = 46

2x +6 = 46

2x = 46-6

2x = 40

x = 40/2 = 20miles

Nina's husband covered 20miles

Nina covered = x+6 = 20+6 = 26miles

Nina walked 26miles

Answer:

see below

Step-by-step explanation:

This is an arithmetic sequence. The explicit formula for an arithmetic sequence is aₙ = a₁ + (n - 1)d where a₁ is the first term and d is the common difference. In this case a₁ = 9 and d = 6 so we have:

aₙ = 9 + (n - 1) * 6

aₙ = 9 + 6n - 6

aₙ 6n + 3

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thnk me...

Answer:

632.2 cm^2

Step-by-step explanation:

for this, you have to find the surface area:

area of side x 2: 22x10.5x2 = 46.2cm^2

area of top and bottom: 22 x 8 x 2 = 418 cm^2

area of front + back = 8 x 10.5 x 2 = 168 cm^2

sum = surface area = 632.2 cm^2

Please mark brainiest

Answer:

1.54 million

Step-by-step explanation:

If 45% of the population are males, then 55% are females. 55%=55/100=0.55. Multiplying this by the total population of the city, you can find that it has 0.55*2,800,00=1.54 million females. Hope this helps!

Answer:

the answer for this question is 1.54×10^6

Step-by-step explanation:

45%- Male

100%-45%=55%

55/100×(2.8×10^6)=1540000

=1.54×10^6

Answer:

the answer is D

Step-by-step explanation:

Answer:

C.  2 1/2

Step-by-step explanation:

Since there is a distance of 6 1/2 units, you have to add and subtract 6 1/2 from the number.

-4 - 6 1/2 = -10 1/2

-4 + 6 1/2 = 2 1/2

Looking at the answer choices, 2 1/2 can represent point Q.

Answer:

b = 7

Step-by-step explanation:

4b + 11 = 39

Subtract 11 to both sides

4b = 39-11

4b = 28

Dividing both sides by 4

b = 7

Answer:

Step-by-step explanation:

[tex](\sqrt{2}+3)^2=(\sqrt{2})^2 + 6\sqrt{2}+9 = 6\sqrt{2} +9+2=6\sqrt{2}+11[/tex]

hope this helps

Answer:

170$

Step-by-step explanation:

Answer:

x= AP, y= GP

Step-by-step explanation:

x = 1, 2, 3, 4, 5 - difference in terms = 1, this is AP

y = 5, 25, 125, 625, 3125 - the ratio of increase= 5, this is GP

Answer:

x= AP, y= GP

Step-by-step explanation:

Answer:

So we use a technique called Ratios. If the ratio of r:m = 4:160. We can work out how we can get r if m is equal to 540. First lets make the ratio for it -

r:540. Now we need to get the number 540 and divide it by 160, this will tell us how much we need to multiply by. 540/160 = 4. So now we know that our multiplier is 4. Then we need to multiply 4 by 4 . That gives us 16 therefore the answer to this question is 16.

Brainliest?

This answer took a long time to write, so I hope you appreciate it.

Answer:

87 packages

Step-by-step explanation:

First we need to find the volume of the cone-shaped vase.

The volume of a cone is given by:

V_cone = (1/3) * pi * radius^2 * height

With a radius of 9 cm and a height of 28 cm, we have:

V_cone = (1/3) * pi * 9^2 * 28 = 2375.044 cm3

Each package of sand is a cube with side length of 3 cm, so its volume is:

V_cube = 3^3 = 27 cm3

Now, to know how many packages the artist can use without making the vase overflow, we just need to divide the volume of the cone by the volume of the cube:

V_cone / V_cube = 2375.044 / 27 = 87.9646 packages

So we can use 87 packages (if we use 88 cubes, the vase would overflow)

Answer:

Step-by-step explanation:

 This problem bothers on the mensuration of solid shapes, a cone

the expression for the volume of a cone is

[tex]v=\frac{1}{3} \pi r^2h[/tex]

Given data

height h= 28cM

radius r= 9cm

substituting the data the data into the expression for the volume we can solve for the volume

[tex]v=\frac{1}{3} *3.142*9^2*28\\\v= \frac{7126.056}{3}\ \\v= 2375.35cm^3\\\\[/tex]

we know that a pack contains a cube, we then need to calculate the volume of a cube in a pack, given that the length of a cube is 3cm

the volume is = [tex]l^3= 3^3= 27cm^3\\[/tex]

now the volume of a pack is [tex]27cm^3[/tex], hence the amount of packs needed to fill the cone is calculated as,

[tex]=\frac{2375.35}{27}\\ = 87.97 packs[/tex]

Answer:

y=-4x+9

Step-by-step explanation:

y=-4x+9

m=y2-y1/x2-x1

m= 5-(-7)/1-4

m=12/-3=-4

y=-7   m=-4   x=4 find b

y=mx+b

-7=4*4 +b

b=-7+16 = 9

Answer:

Angle 2 measures 58°

Step-by-step explanation:

Sum of all three angles formed = 180

Because the sum of angles on a straight line is always 180

Angle 1 =3x-4

Angle 2 = 4x+10

Angle 3= 90° (given)

So,

90+3x-4+4x+10=180

(4x+3x)+(90+10-4)= 180

7x+96=180

Bring 96 to the other side, making it negative,

7x = 180-96 = 84

x = 12

Therefore angle 2

= 4x+10

= (4)(12)+10

=48+10

=58°

Answer:

C ) B = [tex]\left[\begin{array}{ccc}1\\3\\-5\end{array}\right][/tex]

Step-by-step explanation:

Answer:

[tex]\frac{1}{10}[/tex]

Step-by-step explanation:

[tex]m-6(n+2)=-8\\6n+m=16[/tex]

Rearrange the second equation and substitute it into the first equation.

[tex]m=16-6n\\16-6n-6(n+2)=-8\\16-6n-6n-12=-8\\16-12n-12=-8\\4-12n=-8\\4+8=12n\\12=12n\\n=1[/tex]

Now we can use our value of n, and substitute it into the second equation to solve for m.

[tex]6(1)+m=16\\6+m=16\\m=10[/tex]

Now we can divide our values.

[tex]\frac{n}{m}=\frac{1}{10}[/tex]

Answer:

100 : 20 : 60 Making the total number of cookies 180

Step-by-step explanation:

Looking at the basic information given we know:

If there are 5 oatmeal cookies, there will be: 1 raisin cookie and 3 butter cookies. This is a base value.

So, we have equations like this:

[tex]r = 1/3b[/tex] and [tex]o = 5/3b[/tex]

So, if we plug in 60 for butter cookies we will have something like this:

[tex]o : r : 60[/tex] or [tex](5/3b) : (1/3b) : b[/tex] where b=60

Solving:

[tex](5/3b) : (1/3b) : b[/tex]

[tex](5/3b) : (1/3b) : 60\\100 : 20 : 60[/tex]

Then add the amounts of together to get 180.

I hope this helps! It's a bit difficult to explain, where I do most of this in my head, but I hope this will be able to provide some understanding to you.

Answer: (-2,2)

see below

Step-by-step explanation:

Answer:

C. The answer is correct

Step-by-step Explanation:

One of the rules that applies when simplifying radical expressions, is that, only like radicals can be added together or subtracted from each other. In other words, the radicand, which is the number inside the "√" must be the same for two or more radicals to be added together or subtracted from each other.

In the expression given in the question, step 1 and step 2 are correct, as well as the final answer.

The final answer is correct because only like radicals can be added as 3√19 and 8√38 are unlike radicals. Their radicands, √19 and √38, are not the same, hence, the radicals do not need to be added.

The answer "3√19 + 8√38" is correct.