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3 years ago

Determine the distance between two points p(3,4) q(4,5)

Mathematics

1 answer:

Rama09 [41]3 years ago

4 0

Answer:

$\sqrt{2}$

Step-by-step explanation:

Use the distance formula to calculate the distance d

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (3, 4) and (x₂, y₂ ) = (4, 5)

d = $\sqrt{(4-3)^2+(5-4)^2}$ = $\sqrt{1+1}$ = $\sqrt{2}$

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The sum of two numbers is 39.Three times the smaller number exceeds the larger number by 81. Find the numbers

Mice21 [21]

Let smaller no be x and bigger be y

x+y=39--(1)
3x=y+81
y=3x-81
y=3(x-27)--(2)

Put it in eq(1)

x+3(x-27)=39
x+3x-81=39
4x=81+39
4x=120
x=30

Now

x+y=39
y=39-30
y=9

The numbers are 9 and 30

7 0

2 years ago

The questions below walk through the use of kNN to predict the value of Y for a new point with (X1, X2)=(4, 4). Distance is calc

Nady [450]

Answer:

The Euclidean distance between the two given points is $\sqrt{2}\text{ units}$ .

Step-by-step explanation:

K-NN is used to predict the variable y for a new point with $(X_1,X_2) = (4,4)$

Distance is calculated in the Euclidean sense.

The Euclidean distance between two points is given by the formula:

$\text{Points: }(X_1, X_2), (x_1,x_2)\\\\D = \sqrt{{(x_2-X_2)}^2 + (x_1-X_1)^2}$

The point is $(x_1,x_2) = (3,5)$

The Euclidean distance between the two points is given by:

$D = \sqrt{(5-4)^2 + (3-4)^2} = \sqrt{2}\text{ units}$

Thus, the Euclidean distance between the two given points is $\sqrt{2}\text{ units}$ .

5 0

3 years ago

PLEASE HELLPPPP Ms. Rudolph randomly selects one student from a group of students.

Yakvenalex [24]

Using it's concept, it is found that the probability that the selected student is wearing a black shirt is given by:

$p = \frac{n}{n + 15}$

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem, we have that out of n + 6 + 9 = n + 15 students, n are wearing black shirts, hence the probability is given by:

$p = \frac{n}{n + 15}$

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

4 0

2 years ago

Which equation represents an exponential function that passes through the point (2, 80)?

Fudgin [204]

The function f(x) = 5(x)⁴, and f(x) = 5(4)ˣ represents the function that passes through the point (2, 80) option second and fourth are correct.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have; an exponential function that passes through the point (2, 80).

f(x) = 4(x)⁵

Plug (2, 80) in the abovew function:

f(2) = 4(2)⁵ = 128 (false)

f(x) = 5(x)⁴

Plug (2, 80) in the abovew function:

f(2) = 5(2)⁴ = 80 (true)

f(x) = 4(5)ˣ

f(2) = 4(5)² = 100 (false)

f(x) = 5(4)ˣ

f(2) = 5(4)² = 80 (true)

Thus, the function f(x) = 5(x)⁴, and f(x) = 5(4)ˣ represents the function that passes through the point (2, 80) option second and fourth are correct.

Learn more about the function here:

brainly.com/question/5245372

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3 0

2 years ago

30. 9, -27, 81, -243, ...<br> Find the next number

agasfer [191]

Answer:

729

Step-by-step explanation:

<u><em>Write the recursive formula through the pattern:</em></u>

<u><em /></u> $a_{n+1}=-3a_{n}$

<u><em>Find terms of sequence through 9, -27, 81, -243 :</em></u>

729

<em>I hope this helps you</em>

7 0

2 years ago