Find the distance between the two points.

(12, 5), (−12, −2)

Answer:

b:  irrational

Step-by-step explanation:

  (√5+2)

--------------  is given.

  (√5 - 2)

If we multiply numerator and denominator by (√5+2), we succeed in removing the square root symbol from the denominator:

(√5+2)(√5+2)

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

(√5+2)(√5- 2)

and the denominator becomes 5 - 2, or 3.  The denominator is now rational, but the numerator still involves the square root symbol, so overall the given number is irrational.

Answer:

False

Step-by-step explanation:

Answer: 2,504?

Step-by-step explanation: baccically times the 2 only by 100, or at least that’s what I am seeing. LOL

Any number which has digit 2 at its thousandth place will have  the digit 2 one hundred times larger than it is in the number 524

Place value is the value of each digit in a number.

For example, the 5 in 350 represents 5 tens, or 50; however, the 5 in 5,006 represents 5 thousands, or 5,000.

It is important that while a digit can be the same, its value depends on where it is in the number.

Given that, we need to determine that which number is the digit 2 one hundred times larger than it is in the number 524,

So, if we consider a number having 2 at its thousandths place,

For example : 32000, the place value of 2 is 2000,

In the number 524, the place value of 2 is 20,

Now, 2000/20 = 100

So, here we see that, the digit 2 in 32000 is 100 times larger than the digit 2 in 524

Hence, any number which has digit 2 at its thousandth place will have  the digit 2 one hundred times larger than it is in the number 524

Learn more about place values, click;

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Answer:

1

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

To find out the gradient (or the slope), we can use the formula

Gradient = (y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are any two points lying on the line.

Looking at the graph, we can take any two points and simply plug the coordinates in the equation. For instance, take (0,-2) and (2,1)

Therefore we get the gradient as (1- -2)/(2-0) = 3/2 or 1.5.

Feel free to ask any doubts you may have.

Hope this helps! :D

Answer: c

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

The highest exponent determines the degree of a polynomial.

Answer:

The length of side x in a 30-60-90 triangle is 2√3.

Step-by-step explanation:

The numbers 30-60-90 are angles, so we need to find the side x of a right triangle with the following information:

θ: is one angle of the right triangle = 30°

α: is the other angle of the right triangle = 60°

a: is one side of the right triangle = √3

b: is the other side of the right triangle =?

x: is the hypotenuse of the right triangle =?

The length of the hypotenuse can be found by Pitagoras:

[tex] x^{2} = a^{2} + b^{2} [/tex]    (1)

So, we need to find the side "b". We can calculate it with the given angles.

From the side "a" we have:

[tex] cos(\alpha) = \frac{a}{x} [/tex]

[tex] cos(60) = \frac{\sqrt{3}}{x} [/tex]    (2)

From the side "b":

[tex] sin(\alpha) = \frac{b}{x} [/tex]

[tex] sin(60) = \frac{b}{x} [/tex]   (3)

Now, we can calculate "b" by dividing equation (3) by equation (2).

[tex] tan(60) = \frac{\frac{b}{x}}{\frac{\sqrt{3}}{x}} [/tex]

[tex] b = tan(60)*\sqrt{3} = 3 [/tex]

Finally, we can find the length of the hypotenuse with equation (1):

[tex] x = \sqrt{a^{2} + b^{2}} = \sqrt{(\sqrt{3})^{2} + (3)^{2}} = 2\sqrt{3} [/tex]

Therefore, the length of side x in a 30-60-90 triangle is 2√3.

I hope it helps you!

Answer:

12x + 7 is the answer

Step-by-step explanation:

Answer:

i think its help..............

Answer:

[tex] \displaystyle \sin (x) - \frac{ { \sin}^{3} (x)}{3} + \rm C[/tex]

Step-by-step explanation:

we would like to integrate the following integration

[tex] \displaystyle \int \cos ^{3} (x) dx[/tex]

in order to do so rewrite

[tex] \displaystyle \int \cos ^{2} (x) \cos(x) dx[/tex]

we can also rewrite cos²(x) by using trigonometric indentity

[tex] \displaystyle \int( 1 - \sin ^{2} (x) )\cos(x) dx[/tex]

to apply u-substitution we'll choose

[tex] \rm \displaystyle u = \sin ^{} (x) \quad \text{and} \quad du = \cos(x) dx[/tex]

thus substitute:

[tex] \displaystyle \int( 1 - {u}^{2} )du[/tex]

apply substraction integration and:

[tex] \displaystyle \int 1du - \int {u}^{2} du[/tex]

use constant integration rule:

[tex] \displaystyle u - \int {u}^{2} du[/tex]

use exponent integration rule:

[tex] \displaystyle u - \frac{ {u}^{3} }{3} [/tex]

back-substitute:

[tex] \displaystyle \sin (x) - \frac{ { \sin}^{3} (x)}{3} [/tex]

finally we of course have to add constant of integration:

[tex] \displaystyle \sin (x) - \frac{ { \sin}^{3} (x)}{3} + \rm C[/tex]

Answer:

Probability of rolling a prime or multiple of 3 = 13/20

Probability of rolling a prime = 2/5

Probability of rolling a multiple of 3 = 3/10

Step-by-step explanation:

let's list primes and multiples of 3 from 1 to 20

Primes:

2 3 5 7 11 13 17 19

Multiples of 3:

3 6 9 12 15 18

Primes OR multiples of 3

2 3 5 6 7 9 11 12 13 15 17 18 19

There's 13 of them, so the probability of rolling a prime or multiple of 3 is 13/20

Probability of rolling a multiple of 3 is 6/20 = 3/10

Probability of rolling a prime is 8/20 = 2/5

Answer:

0.6 or [tex]\frac{12}{20}[/tex] or [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

Here are the multiples of 3 (that are 20 or below) :

Here are the prime numbers (that are 20 or below):

Some numbers are repeated in the two lists.

Here are all the numbers:

12 numbers are prime or a multiple of 3.

As a fraction it will be [tex]\frac{12}{20}[/tex], or simplified to [tex]\frac{3}{5}[/tex]

As a decimal it will be 0.6

I hope it helped!

Answer:

i always think of my future...i want to be a doctor when i grow up and the prospect of growing up to help other people makes me motivated to help myself to reach that goal.  Becoming a doctor is really hard work, but just focusing and visualizing my future helps me stay motivated.

Answer:

a) 8/19 chance

b) 7/19 chance (I'm not 100% sure)

Step-by-step explanation:

A) since there are 8 prime numbers from 1-19 we can say that the probability is 8 over 19 or 8/19

Answer:

cookie=0.5, popcorn=4

Step-by-step explanation:

1x+2y=5

1x+4y=6

cookie cost 0.5

popcorn cost 4

Answer:

24 degrees

Step-by-step explanation:

Supplementary angles sum up to give 180°

E + H = 180°

156 + H = 180

H = 180 - 156

H = 24°

Answer:

A and C

Step-by-step explanation:

I just answered the question.

Answer:

A and C

Step-by-step explanation:

Trust me

Answer: Susie walked 4000 kilometers on day 18 of her program

Step-by-step explanation:

The question explains an arithmetic progression of  Susie's walk program

Now the nth term of an AP is given as

an = a1 + (n - 1 ) d

a1  =First term = 600 m

common difference , d =200

The 18th day of her program will be

a18 =  600+ (18 - 1 ) 200

a18 = 600+ 17 x200

a18 = 600+3,400

a18 = 4000

Answer:

When 2 lines are parallel, the sum of interior corresponding angles = 180

120 + b = 180

b = 180 - 120 = 60

a + 30 = 180

a = 180 - 30 = 150

Answer:

5) 268.08cm

6)1150.35mi

7)33.51in

8)904.78yd

Step-by-step explanation:

5) V= 4/3πr^3

V=4/3π4^3

V=268.08257

6) r=1/2d

r=1/2(13)

r=6.5

V= 4/3πr^3

V= 4/3π 6.5^3

V=1150.3465

7) V= 4/3πr^3

V= 4/3π 2^3

V=33.510

8)V= 4/3πr^3

V= 4/3π 6^3

V=904.778

9514 1404 393

Answer:

Step-by-step explanation:

The intercepts are ...

  x-intercept = -4/-9 = 4/9

  y-intercept = -4/5

Knowing these intercepts means we can put the equation in intercept form.

  x/(4/9) -y/(4/5) = 1

The fractional intercepts make graphing somewhat difficult. However, we observe that the sum of the x- and y-coefficients is equal to the constant:

  -9 +5 = -4

This means the point (x, y) = (1, 1) is on the graph. Knowing a point, we can write several equations using that point.

We like a positive leading coefficient (as for standard or general form), so we can multiply the given equation by -1.

  9x -5y = 4 . . . . . standard form equation

Adding -4, so f(x,y) = 0, puts this in general form.

  9x -5y -4 = 0

We can eliminate the constant by translating a line from the origin to the point we know:

  9(x -1) -5(y -1) = 0

This can be rearranged to the traditional point-slope form ...

  y -1 = 9/5(x -1)

Yet another equation can be written that tells you the slope is the same everywhere:

  (y -1)/(x -1) = 9/5

These are only a few of the many possible forms of a linear equation.

Answer:

N/A NO DIAGRAM

N/A NO DIAGRAM

Step-by-step explanation:

N/A NO DIAGRAM

N/A NO DIAGRAM

Answer:

30%

Step-by-step explanation:

there are two numbers that fit in the x<=3 category, those being -3 and -5, so you add the two decimals for them (.17 and .13) to get .30 and move the decimal two times to the right to make it in percentage form.

The probability of P(x ≤ -3) is 0.30 or 30% if the probability table is provided.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have given a probability table in the picture.

P(x ≤ -3) = P(x = -5) + p(x = -3)

From the table:

P(x ≤ -3) = 0.17 + 0.13

P(x ≤ -3) = 0.30 or 30%

Thus, the probability of P(x ≤ -3) is 0.30 or 30% if the probability table is provided.

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Answer:

[tex]\frac{n}{8} -3[/tex]

Step-by-step explanation:

n, a number is being divided by 8, and then 3 is being subtracted from the quotient.

Step-by-step explanation:

You need to multiple 3 for 15 and gain for12 times.

Compare which one is greater .

Write the greatest answer.

Similarly you need to do same process to next question according to power.

Answer:

27 & 16

Step-by-step explanation:

Just take like in example one:

3^15 and 3^12

You do

15-12=3

Then- 3^3=27!!

For the second:

4^10-4^8

10-8=2

4^2=16

Hope that's easy to understand!

Answer:

f(13)≈45.92

Step-by-step explanation:

Answer:

3.4%

Step-by-step explanation:

Find the percent increase by dividing the difference in the temperatures by the original temperature, then multiplying it by 100:

((362 - 350) / 350) x 100

(12 / 350) x 100

= approximately 3.4

So, the percent increase in temperature was approximately 3.4%

Answer:0,6 i took it

Step-by-step explanation: