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nikitadnepr [17]
3 years ago
6

Need Help! Find the distance between the pair of points: (2,0) and (6,-3)

Mathematics
1 answer:
Juliette [100K]3 years ago
8 0

Answer:

The distance between the pair of points is 5 units.

Step-by-step explanation:

The first thing we must know in order to solve this problem is the distance formula.

Distance(d)=\sqrt{(x_{2}-x_{1}  )^2+(y_{2}-y_{1})^2}

We will use the coordinate point (2,0) for our (x₂,x₁) and the coordinate point (6,-3) for our (y₂,y₁). Now, let's plug in these numbers into our formula.

d=\sqrt{(6-2)^2+(-3-0)^2}

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

d=\sqrt{16+9}

d=\sqrt{25}

d=5

So, the distance between the two given points is 5 units.

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WILL MARK BRAINIEST FOR FIRST PERSON TO ANSWER WITH THE STEPS
kondaur [170]

Answer:

  a. 1.2 ohms

  b. 6 ohms

Step-by-step explanation:

As with any problem involving evaluation of a formula, substitute the given values for the corresponding variables and do the arithmetic.

a.

  R=\dfrac{1}{\dfrac{1}{R_1}+\dfrac{1}{R_2}}=\dfrac{1}{\dfrac{1}{2}+\dfrac{1}{3}}=\dfrac{1}{\left(\dfrac{5}{6}\right)}=\boxed{\dfrac{6}{5}=1.2}

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b.

  R=\dfrac{1}{\dfrac{1}{R_1}+\dfrac{1}{R_2}}=\dfrac{1}{\dfrac{1}{10}+\dfrac{1}{15}}=\dfrac{1}{\left(\dfrac{5}{30}\right)}=\dfrac{30}{5}=\boxed{6}

_____

<em>Comment on these problems</em>

You will notice that the values in part (b) are 5 times those in part (a). So, it is no surprise that the answer in part (b) is 5 times the answer in part (a).

7 0
4 years ago
Here is the next one
LenaWriter [7]

Answer:

3

Step-by-step explanation:

-2 + 40x + 62 = 180 They are same side interior angles and add to 180

solve for x

40x + 60 = 180

40x = 120

x=3

8 0
3 years ago
An excursion group of four is to be drawn from among 5 boys and 6 girls.
tresset_1 [31]

Answer:

Because you are recounting people several times. Say for example, let us number those people

{1,2,3,4} for the four girls and {1,2…7} for the boys.

One possible combination by your way is to fix one boy and girl each, say

{1,1} and then choose the remaining people. Let this combination be, for the sake of the example, {1,1,2,2,3}. This is a valid combination.

Now, when you fix another combination of a boy and a girl, say {1,2}, you could get the same combination as before because one the combinations while choosing the three remaining people would be {1,2,3}.

A correct way would be to choose  girls and then choose 5− boys for 1≤≤4

So we get ∑4=1(4)(75−)=441

5 0
3 years ago
Read 2 more answers
Factorise x^2-6 need help for my hegarty maths
Ganezh [65]

you can't factorize it in rational numbers

5 0
3 years ago
What value of x is in the solution set of 9(2x + 1) &lt; 9x – 18?
fredd [130]
To solve these kinds of problems, it is necessary to isolate x:

9(2x + 1) <span>< 9x - 18

Distribute 9:
18x + 9 </span><span>< 9x - 18

Subtracting 9 from both sides of the equation:
18x + 9 - 9 </span><span>< 9x - 18 - 9
18x </span><span>< 9x - 27

Subtracting 9x from both sides of the equation:
18x - 9x </span><span>< 9x - 27 - 9x
9x </span><span>< -27

x </span><span>< -3

Therefore, values of x </span><span>< -3 will satisfy the given equation.</span>
7 0
3 years ago
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