There is a line that includes the point (10,3) and has a slope of 1/5 What is its equation in point-slope form?

Answer:

5/6x - 1/3 > 4/3

Multiply through by 6 you will get

5x - 2 > 8

5x > 8 +2

5x > 10

= x > 2

{ x : x > 2 }

Hope this helps.

Answer:

C x > 2

Step-by-step explanation:

Took the quiz

Answer:

Cornor should divide the total length of the road on which there is traffic by the length of each of the cars

Step-by-step explanation:

The best calculation he can use is to divide the total length of the road on which we have the traffic by the length of each of the cars

Mathematically, the best way to go about this is to convert the miles to feet then divide by the length of each of the cars

Mathematically 1 mile = 5280 feet

so 5.5 miles will be = 5280 * 5.5 = 29,040 feet

It is this length we shall now divide by 12.5 ft

And that is 29,040/12.5 = 2,323.2

Which is approximately 2,323 cars

The amount of mix would be 16 and the amount of milk would be 8 work is in the picture

A) mean = average. Find the total of the ages and dive by number of people:

19x 2 = 38

20x3= 60

21x1= 21

22x4 = 88

23x1=23

38 +60 +21+88+23= 230

230/ 11= 20.9

Mean = 20.9

B ) 1 more person makes the total 12 people. The mean becomes 22, so total of the ages would be 12x22= 264

Subtract the two totals 264 - 230 = 34

The person would be 34

Answer:

A. 102

B. 78

Step-by-step explanation:

mEG = 360 - 258 = 102°

m∠EFG = 1/2 ( major arc - manor arc) = 1/2 (258 - 102) = 78°

Answer:

3m = 18

Step-by-step explanation:

9 + 12m = 6 + 15(m - 1)

9 + 12m = 6 + 15m - 15

3m = 18

Answer:

3m=18

Step-by-step explanation:

trust

Answer:

5,040 times

Step-by-step explanation:

Since there are 7 letters in the word glacier, and there is no set limit, the formula would look like this;

7x6x5x4x3x2x1

(and techinacally 0 counts as 1, but since any number x 1 is itself, it's unnecessary to put it in there)

All of this adds up to 5,040

(I also have acellus and I've already checked it and it's correct )

Answer:

5,040

Step-by-step explanation:

Answer:

[tex] {3x}^{2} + 2x[/tex]

Solution,

[tex]x(3x + 2) \\ = x \times 3x + x \times 2 \\ = {3x}^{2} + 2x[/tex]

hope this helps...

Good luck on your assignment..

Answer:

3x²+2x

Step-by-step explanation:

=> x(3x+2)

Using distributive property

=> (x*3x)+(x*2)

=> 3x²+2x

Answer:

6

Step-by-step explanation:

=> 2x-2y

Taking 2 common

=> 2(x-y)

Given that x-y = 3

=> 2(3)

=> 6

Answer:

1

[tex] - y = 3x \\ \frac{ - y}{ - 1} = \frac{3 - x}{ - 1} \\ y = \frac{3 - x}{1 } \\ y = x - 3[/tex]

2

[tex]2x - 2y \\ factor \: out \: 2 \\ 2(x - y) \\ [/tex]

Answer: Semi-regular tessellations are made of more than one kind of regular polygon. There are only 8 semi-regular tessellations.

A semi-regular tessellation is a tiling of the plane using regular polygons where the arrangement at each vertex is the same but the types of polygons may vary.

There are 8 known semi-regular tessellations.

There is a finite number of possibilities due to the constraints on the arrangements of polygons.

We have,

A semi-regular tessellation, also known as a uniform tessellation or Archimedean tessellation, is a type of tessellation or tiling of the plane where regular polygons are used to fill the space.

In a semi-regular tessellation, the arrangement of polygons at each vertex is the same, but the types of polygons may vary.

To create a semi-regular tessellation, two conditions must be met:

- Each vertex (or corner) of the tessellation must have the same arrangement of polygons around it.

- The sequence of polygons around each vertex must be the same, although the actual polygons may differ.

There are exactly 8 known semi-regular tessellations, which are formed using regular polygons.

These tessellations include combinations of triangles, squares, hexagons, and dodecagons (12-sided polygons). Some examples of semi-regular tessellations include the honeycomb pattern and the tiling known as "Truchet tiles."

As for the question of why there aren't infinitely many semi-regular tessellations, it is because the arrangement and combination of regular polygons at each vertex are constrained.

The conditions for a semi-regular tessellation limit the possibilities for the types and arrangements of polygons. While there are many ways to arrange polygons around a vertex, the number of distinct arrangements is finite.

Thus,

A semi-regular tessellation is a tiling of the plane using regular polygons where the arrangement at each vertex is the same but the types of polygons may vary.

There are 8 known semi-regular tessellations, and there is a finite number of possibilities due to the constraints on the arrangements of polygons.

Learn more about polygons here:

https://brainly.com/question/17756657

#SPJ2

Answer:

the answer is 6 just check it

Answer:

equilateral acute

Step-by-step explanation:

Answer:

Equilateral Acute Triangle

Step-by-step explanation:

Answer:

976 cm^2.

Step-by-step explanation:

The surface area consists of 2 congruent triangles + 2 congruent sloping rectangles  + a rectangular base.

Area of the 3 triangles 1/2*base*height * 2

= base * height

= 14*24 cm^2

Area of the 2 rectangles = 2*25 * 10

= 20*25 cm^2

Area of the base = 14 * 10 cm^2

So total surface area = 14*24 + 20*25 + 14*10

= 976 cm^2.

Answer:

8

Step-by-step explanation:

Answer: 151,200 combinations

Step-by-step explanation:

So we want to order the numbers 1, 2, .... , 9 in a:

[tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]

such that the sum in each row is an odd number.

if we add 3 odd numbers we have an odd number.

if we add 2 even numbers, and an od number, we have an odd number.

where the rows are in this case (1, 2, 3), (4,5,6) and (7, 8, 9)

We have 4 even numbers and 5 odd numbers, so one combination can be:

[tex]\left[\begin{array}{ccc}1&5&3\\4&7&6\\2&8&9\end{array}\right][/tex]

Now, we for this option we can:

permute the numbers in each row: c =3*2*1 options per row and permute the rows, also c = 3*2*1

So only for this combination we have: P = (3*2)^4 possible ways of writing it.

Now, let's find the different combinations of numbers, so you can expect that we will find a lot of combinations, now let's construct them:

Suppose that in the first row we have two even numbers and 1 odd, then for the first even number we have 4 options, for the second 3 options, and for the odd number 5 options, so we have 4*3*5 combinations.

For the second row we also want two even numbers and one odd.

For the first even number we have 2 options, for the second one, and for the odd number we have 4 options, so we have 4*2*1 combinations.

In the last row we want the other 3 odd numbers, so we have 3*2*1 combinations, this adds to:

C = (4*3*5)*(3*2*1)*(4*2*1) = 2880 combinations.

If we add the fact that the rows can interchange positions, we have other 3*2*1 combinations:

C = 2880*3*2 = 16,800 and if now we add the fact that the numbers in the first two rows can permute (it is not the same (2, 4, 5) than (2, 5, 4) or (4, 2, 5)) (this happens because in these two rows we have different types of numbers, while in the third one the permutations are already included)

So the thing that can change in the first two rows is the position of the odd number, can be first, second or third, so we have other 3 permutations for the two first rows:

C = 16,800*3*3 = 151,200  which is the total number of  different combinations.

Answer:

£160.

Step-by-step explanation:

Mario receives 3 / (4+3+9) = 3/16 of the money.

So by proportion the total amount of money

=  96 * 16/3 = £512

So Rachel receives  4/16 = 1/4

= 512 / 4

= £128.

- and Sanjit receives 9/16

= 512 * 9/16

= £288

The difference is 288 - 128 = £160.

Answer:

2730

Step-by-step explanation:

We want to determine the greatest common divisor of the elements of the set  [tex]S = \{ n^{13} - n \mid n \in \mathbb{Z} \}.[/tex]

We apply the Fermat's little theorem which states that if p is a prime number, then for any integer a, the number aᵖ − a is an integer multiple of p.

Now, [tex]n^{13} \equiv n \mod p [/tex] if p-1 divides 12.

Since the  of 12 are 1,2,3,4, 6, 12, the corresponding primes are 2, 3, 5, 7, 13.

Therefore, the gcd of the elements in [tex]2^{13}-2[/tex] and [tex]3^{13}-3$ is 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13.[/tex]

2*3*5*7*13=2730

Therefore, the gcd of the elements in set S is 2730.

Hey there! :)

Answer:

x = 3.

Step-by-step explanation:

Begin by setting up a ratio comparing the small triangle to the large triangle. Remember, combine the values of the parts of the sides given to find the total lengths of the sides:

2x + x + 5 = 3x + 5

4 + 3 = 7

Now, we can set up a ratio:

[tex]\frac{x+5}{4}=\frac{3x+5}{7}[/tex]

Cross multiply:

7(x + 5) = 4(3x + 5)

Distribute:

7x + 35 = 12x + 20

Subtract 7x from both sides:

35 = 5x + 20

Subtract 20 from both sides:

15 = 5x

Divide both sides by 5:

x = 3.

Answer:

Step-by-step explanation: You can find the value of x with a little knowledge about proportions between similar polygons. The sides with lengths relative to x are similar to each other meaning that you can use the proportion: x/3x+5 = 4/7 solve for x by cross multiplying and you will get the value of x.

Answer:

i'm sorry but the answer is 1.152

Answer:

[tex]1.152[/tex]

Step-by-step explanation:

[tex] \: \: \: \: \: 0.312 \\ + 0.14 \\ + 0.7 \\ =1.1 52[/tex]

hope this helps you.

Answer:

280 kg

Step-by-step explanation:

279.98... so it rounds up to 280

Answer:

58kg

Step-by-step explanation:

127 pounds to kg is 57.606 kgs

divide pounds by 2.205

Answer:

I am grade a man who is not in my life and I am 97 and the other is that 93inches is the urge for the pain of his life and I think that he is not a good person to be a

Answer:

2x=y

Step-by-step explanation:

Done

Answer:

Obi's age is 18 and Oba's age is 9

Step-by-step explanation:

Let Obi's age be x and Oba's age be y

Condition 1:

x = 2y -----------(1)

Condition 2:

(x-4) = 3(y-4)

=> x -4 = 3y-12

=> x - 3y = -9  -----(2)

Putting eq (1) in (2)

2y - 3y = -9

=> -y = -9

=> y = 9

Now,

x = 2y

=> x = 2(9)

=>  x= 18

Answer:

[tex]8\\4[/tex]

Step-by-step explanation:

Obi's age is [tex]x[/tex].

Oba's age is [tex]2x[/tex].

4 years ago, Obi's age was [tex]x-4[/tex].

4 years after, Obi's age is [tex]2x-4[/tex]

3 times more than Oba's, so [tex]3(x-4)[/tex]

[tex]2x - 4 = 3( x - 4)[/tex]

[tex]2x - 4 = 3x-12[/tex]

[tex]2x - 3x = -12+4[/tex]

[tex]-1x=-8[/tex]

[tex]x=8[/tex]

[tex]x-4\\(8)-4=4[/tex]

Answer:

Third option.

Step-by-step explanation:

The coordinates are (1, 3)

x = 1

y = 3

Put x as 1, the output should be 3.

g(1) = 3(1)²

g(1) = 3(1)

g(1) = 3

The transformation of a function may involve any change. The function of the g(x) can be written as 3x². The correct option is C.

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Vertical shift

Stretching:

Given that f(x)=x², since the function g(x) is also similar to f(x), therefore, both the function are quadratic functions.

Since f(x) is streched vertically to form g(x), therefore, the function g(x) in terms of f(x) can be written as,

g(x) = k × f(x)

y = k × x²

Also, it is passing through the point (1,3), therefore, we can write,

3 = k × (1)²

3 = k

Thus, the function of the g(x) can be written as 3x².

Hence, the correct option is C.

Learn more about Transforming functions:

https://brainly.com/question/17006186

#SPJ2

Answer:

3n

Step-by-step explanation:

Answer: There were 78 red apples at the party.

Step-by-step explanation:

This situation can be represented by the equation  

x + 3x + 2(3x) = 130    where x is the number of green apples, 3x is the number of  yellow apples and 2(3x) is the number  of red apples.

Now solve for x

x +3x +2(3x) =130

4x + 6x = 130

10x  = 130

x =  13  

Now we know that x is 13 so put it into the expression for red apples and solve for the actual number of red apples.

2 * (3*13)  = ?

2 * 39 = 78  

Answer:

435 pgs

Step-by-step explanation:

29 pgs per hr

29(15) pgs per 15 hr

435

Answer:

435 pgs

Step-by-step explanation:

29 x 15 = 435

Answer:

140

Step-by-step explanation:

Sum of angles around a point = 360

So, if one angle 8 reflex and measures 220, it’s adjacent side measures.

360-220 = 140.

Hope this helps.

Good Luck

Answer:

∠ A ≈ 16.67°

Step-by-step explanation:

Using the Sine rule in Δ ABC

[tex]\frac{a}{sinA}[/tex] = [tex]\frac{c}{sinC}[/tex] , substitute values

[tex]\frac{8}{sinA}[/tex] = [tex]\frac{16}{sin35}[/tex] ( cross- multiply )

16 sinA = 8 sin35° ( divide both sides by 16 )

sin A = [tex]\frac{8sin35}{16}[/tex] , thus

∠ A = [tex]sin^{-1}[/tex] ( [tex]\frac{8sin35}{16}[/tex] ) ≈ 16.67° ( to 2 dec. places )

Answer:60 degrees

Step-by-step explanation:BAC =90 Degrees

BAD= 30 degrees

Since BAD and DAC are complementary angles, they add up to 90 degrees

So, 90 degrees-30 degrees= DAC which is =60 degrees

HOPE IT WAS CLEAR

Angle DAC is determined to be 60 degrees as it is complementary to angle BAD, which measures 30 degrees.

According to the given information, angle BAD measures 30 degrees. It is stated that angle BAD and angle DAC are complementary angles, meaning they add up to 90 degrees.

To find the measure of angle DAC, we subtract 30 degrees from 90 degrees:
90 degrees - 30 degrees = 60 degrees.

Therefore, the angle DAC measures 60 degrees.

Learn more about complementary angles here:

https://brainly.com/question/10564951

#SPJ4

Answer:

AC = 90, AB = 90, CAB = 180