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3 years ago

What is the distance between the points (–4, 2) and (3, –5)?

Mathematics

2 answers:

luda_lava [24]3 years ago

7 0

Answer:

$\sqrt{98}$

Step-by-step explanation:

Using the distance formula

with (x₁, y₁ ) = (- 4, 2) and (x₂, y₂ ) = (3, - 5)

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

= $\sqrt{7^2+(-7)^2}$

= $\sqrt{49+49}$

= $\sqrt{98}$

marin [14]3 years ago

4 0

Answer:

Step-by-step explanation:

just got it right

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What is 21.6 rounded to the nearest whole number

miv72 [106K]

Answer:

Step-by-step explanation:

21.6 would round up because 6 is closer to 10 than it is 0

7 0

2 years ago

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At the zoo, for every 6 adult camels, there are 5 baby camels. There are a total of 44 adult and baby camels at the zoo.

lesya [120]

Using proportions, it is found that the table is completed as follows:

Original Ratio Number in the zoo

Baby camels 5 20

Adult camels 6 24

Total camels 11 44

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

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

At the zoo, for every 6 adult camels, there are 5 baby camels, hence, out of 11 camels, 5 are baby and 6 are adult.

Thus, out of 44 camels, we have that:

44/11 x 5 = 20, hence there are 20 baby camels.

44/11 x 6 = 24, hence there are 24 adult camels.

The table is:

Original Ratio Number in the zoo

Baby camels 5 20

Adult camels 6 24

Total camels 11 44

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

5 0

2 years ago

Find the distance between the complex numbers. z1 = 9 - 9i z2 = 10 - 9i

steposvetlana [31]

Answer:

The distance between the two given complex numbers = 9

Step-by-step explanation:

Explanation:-

Step(i):-

Given Z₁ = 9 - 9 i and Z₂ = 10 -9 i

Let A and B represent complex numbers Z₁ and Z₂ respectively on the argand plane

⇒ A = Z₁ = x₁ +i y₁ = 9 - 9 i and

B = Z₂ = x₂+ i y₂ = 10 -9 i

Let (x₁ , y₁) = ( 9, -9)

(x₂, y₂) = (10, -9)

Step(ii):-

The distance between the two points are

A B = $\sqrt{(x_{2} - x_{1})^{2}+(y_{2} - y_{1})^{2} }$

A B = $\sqrt{(10 - 1)^{2}+(-9 - (-9))^{2} }$

AB = $\sqrt{(9)^{2} +(-9+9)^{2} }$

AB = √81 = 9

Conclusion:-

The distance between the two given complex numbers = 9

3 0

2 years ago

F is the midpoint of GH. Point G is located at 32 and F is at 105. What is the location of point H?

sukhopar [10]

The location of point H is 68.

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2 years ago

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