Which symbol correctly compares the mixed number and the improper
fraction?

Answer:

The new set of coordinates are [tex]E'(x,y) = (-6,-12)[/tex], [tex]F'(x,y) = (12,-30)[/tex], [tex]G'(x,y) = (30,-6)[/tex] and [tex]H'(x,y) = (6,6)[/tex].

Step-by-step explanation:

Vectorially speaking, dilation can be defined by this equation:

[tex]D'(x,y) = O(x,y) +k\cdot (D(x,y)-O(x,y))[/tex] (1)

Where:

[tex]O(x,y)[/tex] - Center of dilation.

[tex]D(x,y)[/tex] - Original point.

[tex]k[/tex] - Scale factor.

[tex]D'(x,y)[/tex] - Dilated point.

Let suppose that center of dilation is located at origin, we determine the new set of coordinates below:

[tex]E'(x,y) = O(x,y) +k\cdot (E(x,y)-O(x,y))[/tex]

[tex]E'(x,y) = (0,0) +6\cdot (-1,-2)[/tex]

[tex]E'(x,y) = (-6,-12)[/tex]

[tex]F'(x,y) = O(x,y) + k\cdot (F(x,y)-O(x,y))[/tex]

[tex]F'(x,y) = (0,0) +6\cdot (2,-5)[/tex]

[tex]F'(x,y) = (12,-30)[/tex]

[tex]G'(x,y) = O(x,y) + k\cdot (G(x,y)-O(x,y))[/tex]

[tex]G'(x,y) = (0,0) + 6\cdot (5,-1)[/tex]

[tex]G'(x,y) = (30,-6)[/tex]

[tex]H'(x,y) = O(x,y) +k\cdot (H(x,y)-O(x,y))[/tex]

[tex]H'(x,y) = (0,0) + 6\cdot (1,1)[/tex]

[tex]H'(x,y) = (6,6)[/tex]

The new set of coordinates are [tex]E'(x,y) = (-6,-12)[/tex], [tex]F'(x,y) = (12,-30)[/tex], [tex]G'(x,y) = (30,-6)[/tex] and [tex]H'(x,y) = (6,6)[/tex].

Answer:

Height = 7

Step-by-step explanation:

35*2

70

70/10

7

Answer:

The angles in an equilateral triangle are always 60°. When a triangle has two congruent sides it is called an isosceles triangle. The angles opposite to the two sides of the same length are congruent. A triangle without any congruent sides or angles is called a scalene triangle.

I hope it's helpful!

Answer:

5a+13

40k+8

19p+13

Step-by-step explanation:

Just using the distribution property and combining like terms :)

Answer:

5,040

Step-by-step explanation:

10x9x8x7 = 5,040

Using the permutation formula, it is found that 5040 passwords are possible.

The order is important, as 1234 is a different password than 2134, for example, hence the permutation formula is used to solve this question.

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this problem, 4 digits are taken from a set of 10, hence:

[tex]P_{(10,4)} = \frac{10!}{6!} = 5040[/tex]

5040 passwords are possible.

You can learn more about the permutation formula at https://brainly.com/question/25925367

Answer:

14.7 feet and 20.2 feet

Step-by-step explanation:

sin 36(25)=14.7

cos 36(25)=20.2

Answer:

y = 7

Step-by-step explanation:

3y+9 = 2y+16, subtract 9 from both sides, 3y = 2y + 7, then subtract 2y from both sides, y = 7, and that's the answer

Answer:

7

Step-by-step explanation:

Answer:

308

Step-by-step explanation:

Hello the answer is

14 times 44 = 616

then do 616 divided by 2 because half = 308

Answer:

nvm :(

Explanation:

Answer:

....................

Step-by-step explanation:

.................

Answer: Hannah and Omar Only

Step-by-step explanation:

Self explanatory

Hannah and Omar Only used a formula that will help them prove the relationship.

A line drawn parallel to one side of a Δ divides the other two sides in the same ratio.

Given

To prove that DE divides AB and AC proportionally.

Construction: If DE is not parallel to BC, draw DF meeting AC at F.

Proof: In ΔABC, let DF || BC

[tex]\rm \dfrac{AD}{DB}=\dfrac{AC}{FC}\\\\[/tex]

A line drawn parallel to one side of a Δ divides the other two sides in the same ratio.

[tex]\rm \dfrac{AD}{DB}=\dfrac{AE}{EC}\\\\[/tex]

From (i) and (ii), we get

[tex]\rm \dfrac{AD}{DB}=\dfrac{AC}{FC}=\rm \dfrac{AE}{EC}\\\\[/tex]

Hence, Hannah and Omar Only used a formula that will help them prove the relationship.

To know more about proportionally click the link given below.

https://brainly.com/question/24937635

Answer:

-4 / 7

Step-by-step explanation:

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

m = (7 - 3) / (2 - 9)

m = 4 / -7

m = -4 / 7

OR

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

m = (3 - 7) / (9 - 2)

m = -4 / 7

Answer:

=8b + 5

Step-by-step explanation:

do you need an explantion

Answer:

8b + 5

Step-by-step explanation:

By consulting the table below, you will find how I got 8b + 8, and then

Since 8 and -3 are like terms, I put them together

8 - 3 = 5

So in the simplest form the equation is

8b + 5

Answer:

d

Step-by-step explanation:

Answer:

J =51

Step-by-step explanation:

Your welcome! Have a great day!

Answer:

x=12

Step-by-step explanation:

subtract each side by five since it is the inverce oporation

You see how these 2 angles marked are both inside the 2 parallel lines?

And they are on opposite side of the transversal, the line crossing the 2 parallel lines?

These 2 angles are alternate interior angles and they are equal, I think you can do the last part by yourself.

Answer: 3.66m

Step-by-step explanation:

If 3 feet is 0.9144 and you have 12ft, you first need to divide the 12 by 3 and you get 4. Now that you have the scale factor you multiply the 0.9144 by 4 and you get 3.6576 but they want it to the nearest hundredth (second number after the decimal point) so the answer will be 3.66m

Answer:

9/16

Step-by-step explanation:

First, note that 10000 multiplied by .5625 will get rid of the decimal point. Therefore, make a fraction where the numerator is .5625 times 10000 and denominator is 10000 like this:

.5625 x 10000

10000

Next, multiply the numbers in the numerator together and keep the denominator as is. Now our fraction looks like this:

5625 /10000

The greatest common factor of 5625 and 10000 is 625, which means you can divide the numerator and denominator by 625 and keep the same value:

5625 ÷ 625 /10000 ÷ 625

And when calculating the numerator and denominator in our fraction above, we get .5625 as a fraction in the simplest form possible:

 .5625  =  

9 /16

Answer:

x=−1 or x=1 or x=−7

Step-by-step explanation:

x3+7x2−x−7=0

Step 1: Factor left side of equation.

(x+1)(x−1)(x+7)=0

Step 2: Set factors equal to 0.

x+1=0 or x−1=0 or x+7=0

x=−1 or x=1 or x=−7

Answer:

x=-7,-1,1

Step-by-step explanation:

Answer:

13+37=50

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Answer:

This does not make sense

Step-by-step explanation:

Answer: x3 • (x6 - x3 - 1)

Step-by-step explanation:Changes made to your input should not affect the solution:

(1): "x3"   was replaced by   "x^3".  2 more similar replacement(s).

STEP

1

:

STEP

2

:

Pulling out like terms

2.1     Pull out like factors :

  x9 - x6 - x3  =   x3 • (x6 - x3 - 1)

Trying to factor by splitting the middle term

2.2     Factoring  x6 - x3 - 1

The first term is,  x6  its coefficient is  1 .

The middle term is,  -x3  its coefficient is  -1 .

The last term, "the constant", is  -1

Step-1 : Multiply the coefficient of the first term by the constant   1 • -1 = -1

Step-2 : Find two factors of  -1  whose sum equals the coefficient of the middle term, which is   -1 .

     -1    +    1    =    0

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

 x3 • (x6 - x3 - 1)

Answer:

toffee packet

Answer:

Well it’s greater bc 23 is greater than 16

Step-by-step explanation:

I don’t know if u needed this or something else

Answer:

7

Step-by-step explanation:

Answer:

Step-by-step explanation:

29 5x+8+x+4=90

6x=78

x=13

30 3x-7+11x-1=90

14x=98

x=7

31 3x+x+8=180

4x=172

x=43

32 6x-1+5x-17=180

11x=198

x=18

Answer:

[tex]\$527.2[/tex]

Step-by-step explanation:

[tex]r_i[/tex] = Inner radius

Inner circumference = 4.5 m

[tex]2\pi r_i=4.5\\\Rightarrow r_i=\dfrac{4.5}{2\pi}\\\Rightarrow r_i=\dfrac{2.25}{\pi}[/tex]

[tex]r_o[/tex] = Outer radius

Outer circumference = 4.6 m

[tex]2\pi r_o=4.6\\\Rightarrow r_o=\dfrac{4.6}{2\pi}\\\Rightarrow r_o=\dfrac{2.3}{\pi}[/tex]

h = Height of cylindrical pipe = 8 m

Total surface area to be painted

[tex]s=\pi r_i^2h+\pi r_o^2h\\\Rightarrow s=\pi h(r_i^2+r_o^2)\\\Rightarrow s=\pi\times 8((\dfrac{2.25}{\pi})^2+(\dfrac{2.3}{\pi})^2)\\\Rightarrow s=26.36\ \text{m}^2[/tex]

Cost of painting 1 square meter is 20

Cost of painting the inner and outer surfaces is [tex]20\times 26.36=\$527.2[/tex]

The total cost painting the surfaces is [tex]\$527.2[/tex].

the answer is 11

-4 - (-15) = 11