Which division problem does the number line best illustrate

Bisect means it is in the middle so that the length of each side would be the same.

The bisector is point W

Answer:

Step-by-step explanation:

B = {p , q , r}

Number of subsets = [tex]2^{n}[/tex]

Her, n  is the number of elements in the set.

Number of subsets = 2³ = 8

Answer:

Sorry I don't know the answer

Answer:

x = 110

y = 15

Step-by-step explanation:

AB is parallel to CD

angle B and angle D are alternate and they are equal

106-2x = 3x-4

106 + 4 = 3x - 2x

110 = x

same goes for y

7y + 13 = 10y - 32

13 + 32 = 10y - 7y

45 = 3y divide both sides by 3

15 = y

Answers:

Center = (1, 5)

Radius = 3

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Work Shown:

[tex]x^2+y^2-2x-10y+17 = 0\\\\(x^2-2x)+(y^2-10y)+17 = 0\\\\(x^2-2x+0)+(y^2-10y+0)+17 = 0\\\\(x^2-2x+1-1)+(y^2-10y+25-25)+17 = 0\\\\(x^2-2x+1)+(y^2-10y+25)+(-1-25+17) = 0\\\\(x-1)^2+(y-5)^2-9 = 0\\\\(x-1)^2+(y-5)^2 = 9\\\\(x-1)^2+(y-5)^2 = 3^2[/tex]

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Explanation:

The idea is to complete the square for the x and y terms separately.

Notice the jump from step 3 to step 4 has the first 0 turn into 1-1, and the second 0 turn into 25-25. This is to help complete the square for each part.

The x^2-2x+1 factors to (x-1)^2 and y^2-10y+25 factors to (y-5)^2

Once we reach the last step, we have something in the form [tex](x-h)^2+(y-k)^2 = r^2[/tex]

Center = (h,k) = (1,5)

Radius = r = 3

Answer:

x

[tex]x \leqslant - y + 1[/tex]

Steps are show in the picture above.

Answer:

Step-by-step explanation:

Answer:

-41

Step-by-step explanation:

f(x) = 4x + 3 and g(x) = -2x + 5

g(f(5) ) =

First find f(5) = 4(5)+3 = 20+3 = 23

Then find g(23) = -2(23) +5 = -46+5 = -41

Answer:

20 batches

Step-by-step explanation:

Cups of sugar in a bag = 15

Cups of sugar per batch of cookie = 3/4 cup

Cups of sugar per batch of cookie : batch of cookies = 3/4 : 1

what's the greatest number of batches of cookies that can be made with the bag of sugar

Let

x = batches of cookies made with a bag of sugar

Cups of sugar per batch of cookie : batch of cookies = 15 : x

Equate the ratios

3/4 : 1 = 15 : x

3/4 ÷ 1 = 15/x

3/4 × 1/1 = 15/x

3/4 = 15/x

Cross product

3 * x = 4 * 15

3x = 60

x = 60/3

x = 20

x = batches of cookies made with a bag of sugar = 20 batches

Answer:

532

A

Step-by-step explanation:

A=86

B=180

C=94

D=266

now,

a+b+c+d_94

=86+180+94+266_94

=532

the Answer is irrational number

The Euler's formula relates the vertices, faces and the edges of a polyhedron.

The correct option is (e) [tex]V = 6[/tex]    [tex]E = 10[/tex]    [tex]F = 6[/tex]     [tex]6- 10 + 6 = 2[/tex]

First, we count the number of faces. This is the flat parts of the shape.

The attached shape has 6 flat surfaces.

So:

[tex]F = 6[/tex]

Next, we count the number of edges. This is where two faces meet.

The attached shape has 10 edges;

So:

[tex]E = 10[/tex]

Lastly, we count the number of vertices. This is where two edges meet.

The attached shape has 6 vertices.

So:

[tex]V = 6[/tex]

Using Euler's formula, we have:

[tex]V - E + F = 2[/tex]

Substitute values for V, E and F

[tex]6- 10 + 6 = 2[/tex]

[tex]2 = 2[/tex]

Hence, the polyhedron has 6 vertices, 10 edges and 6 faces

Read more vertices, edges, and faces at:

https://brainly.com/question/23347978

Answer:

x=5

Step-by-step explanation:

Since both of these length are equal, 6x+4=8x-6, 2x=10, x=5

Answer:

under the condition of f(x)=x composite function is an identity one

Answer:

(a) 1:12

(b) 12:1

(c) 1:100

(d) 100:1

Answer:

the slope is m=7/2

Step-by-step explanation:

Answer:

7/2

Step-by-step explanation:

Answer From Gauth Math

Answer:

5

Step-by-step explanation:

The distance is given by sqrt((-3-0)^2+(-3-1)^2)=sqrt(9+16)=5

Answer:

I believe the distance equals 5

Step-by-step explanation:

Use the distance formula and plug in the numbers. Then solve.

Answer:The right answer is B

Step-by-step explanation:

If it's negative then it should be on the other side with one side down on the graph and one side on the left.(hope this helped you) :)

Answer:

2.)4n>(n/2)^2

3. (The problem isn't clear)

4.)n^2+2n-3=129

5.)n-5=171

Step-by-step explanation:

2.)

4n(four times the number) >(larger than) (n/2)^2 (half the number squared)

4.)

Sum=addition

n^2 (number squared) +2n (twice the number)-3=129

5.)

N(unknown number of pages) -5(amount of pages already read)= 171(the number of pages it took her to finish)

Answer:

45g

Step-by-step explanation:

The amount of salt left once the whole water is evaporated can be calculated as follows

= 12% × 375

= 12/100 × 375

= 0.12×375

= 45

Hence 45g of salt is left after the evaporation of water

Answer:

45g

Step-by-step explanation:

9514 1404 393

Answer:

  $36,259.78

Step-by-step explanation:

The formula for compound interest is ...

  A = P(1 +r/n)^(nt)

where principal P is invested at annual rate r for t years compounded n times per year.

Here, you have P = 17000, r = 0.06, n = 1, t = 13.

  A = 17000(1 +0.06)^13 = 17000(2.13292826) = 36,259.78

The accumulated value after 13 years is $36,259.78.

Answer:

12*12=144

8*10=80

80+144=224

224*2=448

10*4=40

8*10=80

80*2=160

40+160=200

12*10=120

120+200=320

20*10=200

320+200=520

448+520=968

Hope This Helps!!!

Answer: 43

Step-by-step explanation:

Concept:

Here, we need to understand the idea of evaluation.

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

**Disclaimer** I assume that the expression is [4x² + 5x - 8]. If it was, then you may refer to my answer. If it was not, then you may point it out and I will redo it.

Given

4x² + 5x - 8

x = 3

Substitute the value of x

4(3)² + 5(3) - 8

Simplify exponents

4(9) + 5(3) - 8

Simplify multiplication

36 + 15 - 8

Final subtraction and addition

43

Hope this helps!! :)

Please let me know if you have any questions

Answer:

h = 4sqr(3)

Step-by-step explanation:

r = d/2

d =  8

r = 8/2

r = 4

a = 4

c = 8

b = h = ?

a^2 + h^2 = c^2

4^2 + h^2 = 8^2

16 + h^2 = 64

h^2 = 64 - 16

h^2 = 48

sqrt(h^2) = sqrt(16*3)

h = 4 sqrt3)

Answer:

48

Step-by-step explanation:

Answer:

we have to convert that question centimeters to meters

Step-by-step explanation:

I think all are going to be less as you change all of them.

Using a system of equations, it is found that:

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This question is solved using a system of equations. I am going to say that:

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

Thus:

[tex]x + y = 24 \rightarrow y = 24 - x[/tex]

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Thus:

[tex]2x + 4y = 80[/tex]

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Number of chicken:

Since [tex]y = 24 - x[/tex]

[tex]2x + 4y = 80[/tex]

[tex]2x + 4(24 - x) = 80[/tex]

[tex]2x + 96 - 4x = 80[/tex]

[tex]2x = 16[/tex]

[tex]x = \frac{16}{2}[/tex]

[tex]x = 8[/tex]

There are 8 chickens in the yard.

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Number of pigs:

[tex]y = 24 - x = 24 - 8 = 16[/tex]

There are 16 pigs in the yard.

A similar problem is given at https://brainly.com/question/24104709

Answer:

Step-by-step explanation:

g(x) = 3f(-2x)

     = 3*([-2x)² + (-2x) - 2)

    = 3 (4x² - 2x - 2)

   =   3 * (4x² - 4x  +2x - 2)        {Rewrite the middle term}

  = 3 *[ 4x(x - 1) + 2(x - 1)]

 = 3* [ (x -1) *(4x + 2)]

 = 3(x - 1)(4x + 2)

x - 1 = 0    ;   4x + 2 = 0

x = 1         ;      4x   = -2

                        x = [tex]\dfrac{-2}{4}=\dfrac{-1}{2}[/tex]

Roots:   x = 1 , (-1/2)

Answer:

x = (b-c)/a

Step-by-step explanation:

ax + b = c

Subtract b from each side

ax+b-b = c-b

ax = b-c

Divide by a

ax/a = (b-c)/a

x = (b-c)/a

Answer:

x= (C-B)A

Step-by-step explanation:

Answer:

g(1) = 1

Step-by-step explanation:

In this situation, one is given a graph of the function (g(x)), and one is asked to evaluate the function (g(x)) for (1). An easy way to do so is to find (x = 1) on the coordinate plane, then draw a vertical line at this point. Note the place where (x = 1) intersects the graph of (g(x)). The (y-coordinate) of this intersection point is the output of the function (g(x)).

The line (x = 1) intersects the function (g(x)) at the point (1, 1). Thus (g(1) = 1).

Answer:

A

Step-by-step explanation:

The area of figure=Area of rectangle+Area of triangle

Area of figure=(x+2)(x-3)+1/2*(x)*(x+2)

Area of figure=x^2-x-6+0.5*x^2+x

Area of figure=(3/2)x^2-6

Answer:

A, M(x)=3/2 (x^2-6)

Step-by-step explanation:

Let's calculate the area of the figure 1st,

Area of figure=Area of triangle+Area of rectangle

                      =1/2 b*h + l*b = 1/2 (x+2)x + (x+2)(x-3)

                      =(x^2+2x)/2+x^2 - x - 6 =(x^2+2x+2x^2 - 2x -12)/2

                      =3x^2-12/2=3/2(x^2-6)

In the options,

M(x)=3/2 (x^2-6) is given, so it best represents the area.