All categories

3 years ago

What is the distance between (-6,4) and (-8,6)

Mathematics

1 answer:

Rama09 [41]3 years ago

4 0

Answer:

The answer to your question is dAB = $\sqrt{8}$

Step-by-step explanation:

Data

A (-6, 4)

B (-8, 6)

Process

To solve this problem, just use the formula of the distance between to points, substitute the values, simplify and get the answer.

dAB = $\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2}}$

x1 = -6 y1 = 4 x2 = -8 y2 = 6

-Substitution

dAB = $\sqrt{(-8 + 6)^{2} + (6 - 4)^{2}}$

-Simplification

dAB = $\sqrt{(-2)^{2} + (2)^{2}}$

dAB = $\sqrt{4 + 4}$

-Result

dAB = $\sqrt{8}$

You might be interested in

What is the linear function equation represented by the graph?<br><br><br> f (x) = ?

Alex Ar [27]

The equation is :
y = -.5/1 + 1

5 0

3 years ago

Read 2 more answers

7/9 Z - 6/9 + 6 -5 / 9 Z - 9 simplify

stepladder [879]

Answer:=2/9z+−11/3. the reason why this would answer is because you would have to combine like terms

8 0

3 years ago

Ruby has a bird feeder which is visited by an average of 13 birds every 2 hours during daylight hours. What is the probability t

zalisa [80]

Answer:

62.93%

Step-by-step explanation:

We have to solve it by a Poisson distribution, where:

p (x = n) = e ^ (- l) * l ^ (x) / x!

Where he would come being the number of birds that there would be in 40 minutes, we know that in 2 hours, that is 120 minutes there are 13, therefore in 40 there would be:

l = 13 * 40/120

l = 4,333

Now, we have p (x> 3) and that is equal to:

p (x> 3) = 1 - p (x <= 3)

So, we calculate the probability from 0 to 3:

p (x = 0) = 2.72 ^ (- 4.33) * 4.33 ^ (0) / 0! = 0.01313

p (x = 1) = 2.72 ^ (- 4.33) * 4.33 ^ (1) / 1! = 0.0568

p (x = 2) = 2.72 ^ (- 4.33) * 4.33 ^ (2) / 2! = 0.12310

p (x = 3) = 2.72 ^ (- 4.33) * 4.33 ^ (3) / 3! = 0.17767

If we add each one:

0.01313 + 0.0568 + 0.12310 + 0.17767 = 0.3707

replacing:

p (x> 3) = 1 - 0.3707

p (x> 3) = 0.6293

Which means that the probability is 62.93%

5 0

3 years ago

Which decimal number is equal to 1/8 ?

goblinko [34]

Convert 1/8" to decimal: numerator is top number - numerator is 1. denominator is bottom number - denominator is 8. divide the top number with the bottom number - 1/8 = 0.125.

4 0

3 years ago

The following function represents the profit P(n), in dollars, that a concert promoter makes by selling tickets for n dollars ea

Gre4nikov [31]

A) zeroes

P(n) = -250 n^2 + 2500n - 5250

Extract common factor:

P(n)= -250 (n^2 - 10n + 21)

Factor (find two numbers that sum -10 and its product is 21)

P(n) = -250(n - 3)(n - 7)

Zeroes ==> n - 3 = 0 or n -7 = 0
Then n = 3 and n = 7 are the zeros.

They rerpesent that if the promoter sells tickets at 3 or 7 dollars the profit is zero.

B) Maximum profit

Completion of squares

n^2 - 10n + 21 = n^2 - 10n + 25 - 4 = (n^2 - 10n+ 25) - 4 = (n - 5)^2 - 4

P(n) = - 250[(n-5)^2 -4] = -250(n-5)^2 + 1000

Maximum ==> - 250 (n - 5)^2 = 0 ==> n = 5 and P(5) = 1000

Maximum profit =1000 at n = 5

C) Axis of symmetry

Vertex = (h,k) when the equation is in the form A(n-h)^2 + k

Comparing A(n-h)^2 + k with - 250(n - 5)^2 + 1000

Vertex = (5, 1000) and the symmetry axis is n = 5.

8 0

3 years ago