The midpoint of the line segment with the coordinates (-2, -10) and (-3, 8) is _

Answer:

A number of tourists were interviewed on their choice of means of travel. Two- thirds said that they travelled by road, 1330 by air and 415 by both air and road. If 20 tourists did not travel by either air or road ; (i) represent the information on a Venn diagram ; (ii) how many tourists (1) were interviewed ; (2) travelled by air only?

Answer:

80

Good luck :)

Answer:

80

Step-by-step explanation:

[tex]\sqrt{a} * \sqrt{b} = \sqrt{ab}[/tex]

[tex]\sqrt{6400}[/tex]

6400 = 2 * 2 * 2 * 2 * 2 * 2 * 2 *2 * 5 * 5

          = 2^8 * 5^2

2^4 * 5

16*5 = 80

Answer:

0.36

Step-by-step explanation:

Answer:

1/9 probability

Step-by-step explanation:

The total cookies are 36 and the new flavors are 4, if you simplify 4/36, it equals 1/9

Step-by-step explanation:

72° and a° is the angle of a straight line so

a+72°=180

a=180-72

a=108°

By using alternate exterior angle definition:

7x+24=180

7x=108-24

7x=84

x=84/7

x=12

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Given

- [tex]\frac{1}{4}[/tex] × - [tex]\frac{4}{3}[/tex] ( negative times negative = positive )

= [tex]\frac{1}{4}[/tex] × [tex]\frac{4}{3}[/tex] ( cancel the 4 on the numerator and denominator )

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

[tex] \sqrt{11} \: lies \: between \: 3 \: and \: 4[/tex]

Answer:

Lies between 3&4

See THE IMAGE FOR SOLUTION

Answer:

[tex]8 + x = 2 + 8 \\ 8 + x = 10 \\ x = 10- 8 \\ \\ x = 2 \\ then8 + 2 = 2 + 8 \\ thank \: you[/tex]

Answer:

2

Step-by-step explanation:

8 + 2 = 10, so basically, 10 - 8 = 2. Meaning the missing number to when 8 is added to something to equal 10, would be 2.

Step-by-step explanation:

Hi there!

Given;

f(x) = 17x + 9

h(x) = 4x

To find: f(x)-h(x)

f(x)-h(x)= 17x + 9 - 4x

= 13x + 9

Therefore, f(x)-h(x) = 13x + 9.

Hope it helps!

Answer:y-intercept = -20/5  =  -4  x-intercept = -20/4  =  -5

Step-by-step explanation:

Answer:

x- intercept = - 5, y- intercept = - 4

Step-by-step explanation:

The x- intercept is where the line crosses the x- axis.

The y- coordinate of any point on the x- axis is zero

Substitute y = 0 into the equation and solve for x

4x + 5(0) = - 20

4x = - 20 ( divide both sides by 4 )

x = - 5 ← x- intercept or (- 5, 0 ) in coordinate form

The y- intercept is where the line crosses the y- axis

The x- coordinate of any point on the y- axis is zero

Substitute x = 0 into the equation and solve for y

4(0) + 5y = - 20

5y = - 20 ( divide both sides by 5 )

y = - 4 ← y- intercept or (0, - 4 ) in coordinate form

Answer:

a because I dont know why but some one told me it was this

Answer: A. There are three terms

Concept:

In an algebraic expression, there are several specific terms:

If you are still confused, you may refer to the attachment below for a graphical explanation.

Solve:

a. There are three terms. [tex]\boxed{FALSE}[/tex]

- 14b

- -7

- 8b

- b

There are in total four individuals, which means there are four terms.

b. There is one constant term. [tex]\boxed{TRUE}[/tex]

- 14b is a [variable + coefficient]

- -7 is a [constant]

- 8b is a [variable + coefficient]

- b is a [variable]

Therefore, there is one constant term.

c. The coefficients are 14, 8, and 1 [tex]\boxed{TRUE}[/tex]

- 14b →→→ 14 is the [coefficient]

- -7 →→→ is a [constant]

- 8b →→→ 8 is the [coefficient]

- b →→→ 1 is the [coefficient]

Therefore, 14, 8, and 1 are coefficients.

d. Three of the terms are like terms [tex]\boxed{TRUE}[/tex]

- 14b →→→ b is the [variable]

- -7 →→→ is a [constant]

- 8b →→→ b is the [variable]

- b →→→ b is the [variable]

Since 14b, 8b, and b share the common variable, there are three like terms.

Hope this helps!! :)

Please let me know if you have any questions

Answer:

first option

Step-by-step explanation:

Using the rule of exponents

[tex](\frac{a^{m} }{a^{n} }) ^{p}[/tex] = [tex]\frac{a^{mp} }{a^{np} }[/tex] , then

[tex](\frac{2^{5} }{^{2} } )^{4}[/tex]

= [tex]\frac{2^{5(4)} }{3^{2(4)} }[/tex]

= [tex]\frac{2^{20} }{3^{8} }[/tex]

Answer:

[tex] - \frac{8}{9} \div ( - \frac{8}{9} ) \\ - \frac{8}{9} \times ( - \frac{9}{8} ) \\ = 1[/tex]

I hope I helped you^_^

Hi ;-)

[tex]-28=2x+8-5x\\\\2x+8-5x=-28\\\\2x-5x=-28-8\\\\-3x=-36 \ \ /:(-3)\\\\\huge\boxed{x=12}[/tex]

Answer:

x=12

Step-by-step explanation:

-28=2x+8-5x

-28=-3x+8

Add 3x on both sides:

3x-28=-3x+8+3x

3x-28=8

Add 28 on both sides:

3x-28+28=8+28

3x=36

Divide 3 on both sides:

3x/3=36/3

x=12

Step-by-step explanation:

Infinitely many solutions are there....

hope it helps

Answer:

O Natural, whole, integer, rational, real

Step-by-step explanation:

it can be expressed as a fraction of 45/3, which means that it is rational.

it is a whole number because it does not contain a fraction or decimal.

it is a real number because it is a number we normally use such as 1, -0.1, 3/4, etc

it is a natural number because it is a positive integer.

and it is an integer because it does not contain a decimal.

Answer: Natural, whole, integer, rational, real

Answer:

The integers are

1st: n

2nd: n + 1

3rd: n + 2

The words in the problem statement translate into

2(n + 1) = 3(n + 2) + 6

Solve for n.

2n + 2 = 3n + 12

n = -10

n + 1 = -9

n + 2 = -8

Step-by-step explanation:

Answer:

first angle is 20, 2nd is 120, 3rd is 40.

Step-by-step explanation:

with these words, "20 less than a number, Three

times the number, is the number." We can set up the equation x-20+3x+x = 180. combine like terms and we get 5x-20=180. add 20 to both sides to get 5x=200 then divide 200 by 5x to get x = 40. We can then plug 40 into each of the expressions, x-20, 3x, x, to get our angles.

Answer:

(2,2)

Step-by-step explanation:

(5+-1/2,8+-4/2)

(-2,2)

Answer:

17

Step-by-step explanation:

Answer:

x = 17

Step-by-step explanation:

We can find the missing angle inside the triangle by doing 180 - 94 = 86.

Every triangle has 3 angles that add up to equal 180 so we can set these three angles to equal 180.

60 + 86 + 2x = 180

146 + 2x = 180

Subtract 146 from both sides

2x = 34

Divide by 2 to isolate x

x = 17

Answer:

53240 should be divided by 5 to make it a perfect cube.

Step-by-step explanation:

Answer:

[tex] \sqrt{5} \times \sqrt{15} \times \sqrt{3} \\ \\ \sqrt{5 \times 15 \times 3} \\ \\ = 5 \times 3 \\ \\ = 15[/tex]

[tex]\\ \rm\longmapsto \sqrt{5}\times \sqrt{15}\times \sqrt{3}[/tex]

[tex]\\ \rm\longmapsto \sqrt{5\times 15\times 3}[/tex]

[tex]\\ \rm\longmapsto \sqrt{5\times 5\times 3\times 3}[/tex]

[tex]\\ \rm\longmapsto 5(3)[/tex]

[tex]\\ \rm\longmapsto 15[/tex]

Answer:  C) 3

Explanation:

The degree of a single variable polynomial is the largest exponent, which in this case is 3.

Answer:

= sin x

1

−

cos

x

(

1

+

cos

x

1

+

cos

x

)

-multiply by the conjugate

=

sin

x

+

sin

x

cos

x

1

−

cos

2

x

-distribute

=

sin

x

sin

2

x

+

sin

x

cos

x

sin

2

x

-use property  

sin

2

x

+

cos

2

x

=

1

=

1

sin

x

+

cos

x

sin

x

-simply

=

csc

x

+

cot

x

=

Right Hand Side

Step-by-step explanation:

Answer:

n=1

Step-by-step explanation:

Start by distributing the -3 to (n-4)

14+3n=8n-3n+12

Then combine like terms on the right

14+3n=5n+12

Subtract 12 from both sides

2+3n=5n

Subtract 3n from both sides

2=2n

Divide both sides by 2

1=n

Answer:

7

Step-by-step explanation:

bc 11×5=55 so you divide it and its 11-4=7 :)

Step-by-step explanation:

the answer is in the image above

Answer:

Step-by-step explanation:

Answer:

n+2 represemts the number of sides in the polygon for the nth member of the sequence

Answer:

f(4)=-10

x=0 if g(x)=2

i hope you will understand it