write 2/5 X 3/7 in simplest form​ brainliest if correct

Answer:

The midpoint is (3, 3).

Step-by-step explanation:

We are given the two points A(9, 11) and B(-3, -5).

The midpoint is given by:

[tex]\displaystyle M=\Big(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\Big)[/tex]

So:

[tex]\displaystyle M = \Big( \frac{9+(-3) }{2}, \frac{ 11+(-5) }{2} \Big) = (3,3)[/tex]

The midpoint is (3, 3).

We want to show that AM = MB.

We can use the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

The distance between A(9, 11) and M(3, 3) will then be:

[tex]AM=\sqrt{(9-3)^2+(11-3)^2}=\sqrt{6^2+8^2}=\sqrt{100}=10[/tex]

And the distance between B(-3, -5) and M(3, 3) will be:

[tex]MB = \sqrt{ (3-(-3))^2 + (3-(-5))^2 } = \sqrt{(6)^2+(8)^2} = \sqrt{ 100 } = 10[/tex]

So, AM = MB = 10.

Since AM = MB = 10, AM + MB = 10 + 10 = 20.

So, we want to prove that AB = 20.

By the distance formula:

[tex]AB=\sqrt{(9-(-3))^2+(11-(-5))^2}=\sqrt{12^2+16^2}}=\sqrt{400}=20\stackrel{\checkmark}{=}20[/tex]

Answer:

Both [tex](6,\, 0)[/tex] and [tex](8,\, 2)[/tex] are inside this circular area.

[tex](6 - 5)^{2} + (0 - 1)^{2} = 2 < 22[/tex].

[tex](8 - 5)^{2} + (2 - 1)^{2} = 10 < 22[/tex].

Step-by-step explanation:

Equation for a circle in 2D, with center [tex](a,\, b)[/tex] and radius [tex]r[/tex]:

[tex](x - a)^{2} + (y - b)^{2} = r^{2}[/tex].

Compare this expression with the one from this question:

[tex](x - 5)^{2} + (y - 1)^{2} = 22 = \left(\sqrt{22}\right)^{2}[/tex].

Hence: [tex]a = 5[/tex], [tex]b = 1[/tex], and [tex]r = \sqrt{22}[/tex].

Therefore, [tex]\! (5,\, 1)[/tex] and [tex]\sqrt{22}[/tex] would be the center and the radius of the circle [tex](x - 5)^{2} + (y - 1)^{2} = 22[/tex].

A point is inside a circle if and only the Euclidean distance between that point and the center of that circle is smaller than the radius of the circle. That is the same as requiring that the square of the Euclidean distance between these two points to be smaller than the square of the radius of the circle.

Formula for the Euclidean distance between [tex](x_1,\, y_1)[/tex] and [tex](x_2,\, y_2)[/tex]:

[tex]\displaystyle \sqrt{(x_1 - x_2)^{2} + (y_1 - y_2)^{2}}[/tex].

The square of the Euclidean distance between these two points would be:

[tex]\displaystyle (x_1 - x_2)^{2} + (y_1 - y_2)^{2}[/tex].

Calculate the square of the distance between [tex](6,\, 0)[/tex] and the center of the circle, [tex](5,\, 1)[/tex].

[tex](6 - 5)^{2} + (0 - 1)^{2} = 2[/tex].

The square of this distance is smaller than [tex]22[/tex], the square of the radius of this circle. Hence, the point [tex](6,\, 0)[/tex] is inside this circle.

Similarly, calculate the square of the distance between [tex](8,\, 2)[/tex] and the center of the circle, [tex](5,\, 1)[/tex].

[tex](8 - 5)^{2} + (2 - 1)^{2} = 10[/tex].

The square of this distance is smaller than [tex]22[/tex], the square of the radius of this circle. Hence, the point [tex](8,\, 2)[/tex] is also inside this circle.

Notice that the point [tex](x,\, y)[/tex] is on the 2D circle [tex](x - a)^{2} + (y - b)^{2} = r^{2}[/tex] if and only if [tex]x[/tex] and [tex]y[/tex] satisfy the equation of that circle.

On the other hand, [tex](x,\, y)[/tex] is inside this circle if and only [tex]x[/tex] and [tex]y[/tex] satisfy the inequality [tex](x - a)^{2} + (y - b)^{2} < r^{2}[/tex].

Both [tex](6,\, 0)[/tex] and [tex](8,\, 2)[/tex] satisfy the inequality [tex](x - 5)^{2} + (y - 1)^{2} < 22[/tex]. Hence, both points are inside the circle [tex](x - 5)^{2} + (y - 1)^{2} = 22[/tex].

Answer:

1200 revolutions per second

Step-by-step explanation:

60 seconds per minute so multiply 60 x 20 to get 1,200

Answer:

8 is the answer

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

[tex]z=2^{3}[/tex]

This question is essentially asking what is two to the third power, or;

[tex]2 * 2 * 2[/tex]

[tex]= 8[/tex]

Answer:

x=5

Step-by-step explanation:

subtract 4x from both sides

7x-4x=4x-4x+15

3x=15

divide by 3 on both sides

3x/3=15/3

x=5

Answer:

D: 14

Step-by-step explanation:

since the proportion is already 4:6, so you want to divided it by 2, so it will become 2:3, then multiply it by 7, so thats how i got 14 tomatoes for 21 people

Answer:

Amy traveled at 4.5 mph, while Jim traveled at 6 mph. Therefore, Jim traveled at a greater average speed.

Step-by-step explanation:

Given that Amy drove her hoverboard 3 miles in 40 minutes, while Jim hopped 2 miles in 20 minutes, to determine who traveled at a greater average speed, the following calculation must be performed:

(3/40) x 60 = Amy's speed

0.075 x 60 = Amy's speed

4.5 = Amy's speed

So Amy traveled 4.5 miles per hour.

(2/20) x 60 = Jim's speed

0.1 x 60 = Jim's velocity

6 = Jim's speed

Instead, Jim traveled 6 miles per hour.

Therefore, Jim was the one who traveled at a greater average speed.

Answer:

This is more of a question that involves opinion, I prefer to studdy animal cells but that is merely my opinion. Plant cells are interesting too and may be more interesting to someone else, But for me animal cells are the better choice.

Step-by-step explanation:

Definition. Animal cells are the basic unit of life in organisms of the kingdom Animalia. They are eukaryotic cells, meaning that they have a true nucleus and specialized structures called organelles that carry out different functions.

Plant cells are the basic unit of life in organisms of the kingdom Plantae. They are eukaryotic cells, which have a true nucleus along with specialized structures called organelles that carry out different functions. Plant cells have special organelles called chloroplasts, which create sugars via photosynthesis.

Answer:

55

Step-by-step explanation:

Answer:

A. x = 16, y = 9√2

Step-by-step explanation:

✔️Let's find y first using trigonometric ratio:

Reference angle = 45°

Hypotenuse = y

Opposite = 9

Therefore,

Sin(45) = 9/y

y = 9/sin(45)

y = 9/(1/√2)

y = 9 × √2/1

y = 9√2

✔️To find x, let's find the adjacent side of the right triangle first, them add it to 7.

Adjacent side using Pythagorean Theorem would be,

Adj² = y² - 9²

Adj² = (9√2)² - 9²

Adj² = 162 - 81

Adj² = 81

Adj = √81

Adj = 9

x = adj + 7 = 9 + 7

x = 16

Answer:

9(2-3) -5(8)= -49

it must helps you...mark me as brainliest pls

Answer: $3.50

Step-by-step explanation:

Let the cost of domestic shipping be x.

Since the cost of international shipping is $2.50 greater than the cost of domestic shipping. This will be:

= x + 2.50

Since we are further told that three of the cards will be shipped domestically, and two will be shipped internationally and that $22.50 will be spent on shipping, this will be express in an equation as:

3x + 2(x + 2.50) = 22.50

3x + 2x + 5.00 = 22.50

5x = 22.50 - 5.00

5x = 17.50

x = 17.50/5

x = $3.50

The cost if domestic shipping is $3.50

Answer:

C

Step-by-step explanation:

circumfrence = 2 pi r

= 20* 3.14= 2*31.4= 62.8

or c

if my answer helped please mark as brainliest.

Answer:

62.8

Step-by-step explanation:

If your not aloud to don't but if you look it up there's a really good  calculator.

Answer:

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

Step-by-step explanation:

m = (1/2)  ; (2 , -3)

y -y1 = m(x - x1)

[tex]y - [-3] = \frac{1}{2}(x - 2)\\\\y + 3 = \frac{1}{2}x - 2 *\frac{1}{2}\\\\y + 3 = \frac{1}{2}x -1\\\\y = \frac{1}{2}x - 1 - 3\\y =\frac{1}{2}x -4[/tex]

9514 1404 393

Answer:

  51.3°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship between angles and sides of a right triangle.

Here, you're given the side opposite angle y and the side adjacent to it. This suggests that the TOA relationship is most useful:

  Tan = Opposite/Adjacent

  tan(y) = (10 cm)/(8 cm) = 1.25

Then the angle is found from the inverse tangent function:

  y = arctan(1.25)

  y ≈ 51.3°

Answer:

+1/2

Step-by-step explanation:

If the slope of the given line is -2, the slope of a line perpendicular to the given line is the negative reciprocal of -2, or +1/2.

Answer:

[tex]\sqrt{61}[/tex] units

Step-by-step explanation:

We are given that

[tex]P_1=(-2,5)[/tex]

[tex]P_2=(4,0)[/tex]

We have to find the distance d (P1, P2) between the points P, and P2

We know that

Distance between  two points (x1,y1) and (x2,y2)  i

=[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using the formula

The distance d (P1, P2) between the points P, and P2

=[tex]\sqrt{(4-(-2))^2+(0-5)^2}[/tex]

The distance d (P1, P2) between the points P, and P2

[tex]=\sqrt{(4+2)^2+(-5)^2}[/tex]

The distance d (P1, P2) between the points P, and P2

=[tex]\sqrt{6^2+25}[/tex]

The distance d (P1, P2) between the points P, and P2

=[tex]\sqrt{61}[/tex] units

Answer:

0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they are in favor, or they are not. Students are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

18% of the students are in favor of changing the dress code.

This means that [tex]p = 0.18[/tex]

You randomly select 15 students

This means that [tex]n = 15[/tex]

What is the probability that at least three of these students are in favor of the proposal to change the dress code?

This is

[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]

In which

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{15,0}.(0.18)^{0}.(0.82)^{15} = 0.051[/tex]

[tex]P(X = 1) = C_{15,1}.(0.18)^{1}.(0.82)^{14} = 0.1678[/tex]

[tex]P(X = 2) = C_{15,2}.(0.18)^{2}.(0.82)^{13} = 0.2578[/tex]

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.051 + 0.1678 + 0.2578 = 0.4766[/tex]

[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.4766 = 0.5234[/tex]

0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.

Answer:

x+1>9 hahaahah........

Answer:

7-n

Step-by-step explanation: do you need an equation?

Answer:

a. Radius of DA - 2 cm.

b. Area of rectangle ABCD -

c. Area of shaded - 8-4π

d. Perimeter of shaded region - also 8-4π

Hope this helps!  

Answer:

Charles

Step-by-step explanation:

Answer:

48 cuts and styles

Step-by-step explanation:

Moshde needs to make 48 haircuts and style per month to save $1,200.

Moshde makes $45 per haircut and yet incurs $960 in expenses every month.

She needs to cut enough hair that she makes the $960 in expenses and then a further $1,200 that she can put in savings.

The formula to find out the number of cuts she needs to make is:

= (Monthly expenses + Desired profit) / Profit per cut

= (960 + 1,200) / 45

= 2,160 / 45

= 48 hair cuts and style

In conclusion, Moshde needs to make 48 haircuts per month.

Find out more at https://brainly.com/question/13400675.

Answer:

2. definition of congruence

Step-by-step explanation:

sorry I just know that one

Answer:

[tex]0.0467[/tex] is the probability that none of the graduates have a summer job

Step-by-step explanation:

Here

P [tex]= 0.40[/tex] and n [tex]= 6[/tex]

Probability that none of the graduate gets job

this means that x = 0

P (x = 0) [tex]= ^6C_0 * (0.40)^0 * (0.60)^6[/tex]

P (x = 0) [tex]= 0.0467[/tex]

Answer: B- 0.18. Because the probability is not very small, it is plausible that the 65% claim of the owner is correct.

Step-by-step explanation: