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Nat2105 [25]
3 years ago
15

What is the midpoint of the segment shown below? (-2,4) (6,-4)

Mathematics
1 answer:
tresset_1 [31]3 years ago
8 0
<h2>solution :</h2>

let's assume the Coordinates be x and y

By using Section formula,

\boxed{ x =  (\dfrac{x_2 + x_1}{2} )}

  • x =   \dfrac{ - 2 + 6}{2}

  • x =  \dfrac{4}{2}

  • x = 2

____________________

\boxed {y =  (\dfrac{y_2 + y_1}{2} )}

  • \dfrac{ - 4 + 4}{2}

  • \dfrac{0}{4}

  • 0

____________________

\mathrm{Therefore \:\:the\:\: Coordinates\:\: of \:\:the\;\; mid-point\;\: of \;\;the\:\: given\:\: segment\:\; is}

\huge \boxed{(2,0)}

_____________________________

\mathrm{ \#TeeNForeveR} \: ☃

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Find the distance between the two points. (-1, 6), (2, 8) Round to the nearest hundredth
MakcuM [25]

Answer:

d = \sqrt{13} or d = 3.61

Step-by-step explanation:

d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(2-(-1))^2+(8-6)^2}\\d= \sqrt{(3)^2+(2)^2}\\d= \sqrt{9+4}\\d= \sqrt{13}

5 0
3 years ago
Everyone needs to get off of social and help us -_-
JulsSmile [24]
(x+2)(x+8)(x+k)=x^3+9x^2+6x-16

(x^2+10x+16)(x+k)=x^3+9x^2+6x-16

x^3+10x^2+16x+kx^2+10kx+16k=x^3+9x^2+6x-16

kx^2+10kx+16k=-x^2-10x-16

k(x^2+10x+16)=-x^2-10x-16

k=(-x^2-10x-16)/(x^2+10x+16)

k=-1

so the width is (x-1)




7 0
3 years ago
A solid cylinder of radius 7cm is 10cm long.find it's total surface area
Anton [14]

Answer:

C.  238π  cm^3.

Step-by-step explanation:

Surface area = 2 * area of the circular ends + area of the curved length

= 2π r^2 + 2π r* l

= 2 π 7^2 + 2π 7 * 10

= 98π + 140π

= 238π  cm^3.

7 0
3 years ago
Read 2 more answers
Describe one way that concepts about similarity could be used in real life
kherson [118]
1<span>. Personality in Twins. This is an example of similarity. Suppose a mother gave birth twins a few years ago, so they grow up together and given that they have the same DNA they are similar but not equal. </span>They have similar eyes, noses, lips, ears etc, but their mother can recognize them because even though they are similar they are not the same person. So maybe you want to be a friend of one of them, then you will choose the one you feel more comfortable to talk with. 

<span>2. Cars. Suppose you like a specific type of brand car. Then there are many cars of this brand. You want to buy one of that car, so you decide to go to a concessionaire. One concessionaire has that car and its cost is $2000. Another one has the same car, it is a similar one, same color, same year, but at a price of $1900, so obviously you choose the less expensive.</span>
5 0
2 years ago
Read 2 more answers
The sum of two numbers is 75. The second number is<br> less than twice the first. Find the numbers.
Lera25 [3.4K]

Answer:

First number =26

Second number =49

Step-by-step explanation:

Question:

The sum of two numbers is 75. The second number is 3 less than twice the first. Find the numbers.

Given:

Sum of two numbers = 75

The second number is 3 less than twice the first.

To find the numbers.

Solution:

Let the first number be = x

Let second number be = y

The sum equation can be given as:

x+y=75

It is given that the second number is 3 less than twice the first.

This can be given as:

y=2x-3

Substituting the value of y in terms of x in the sum equation.

x+(2x-3)=75

Combining like terms.

3x-3=75

Adding 3 both sides.

3x-3+3=75+3

3x=78

Dividing both ides by 3.

\frac{3x}{3}=\frac{78}{3}

x=26

Substitution x=26 in the second equation to find y.

y=2(26)-3\\y=52-3\\\therefore y=49

Thus, first number =26 and second number =49.

4 0
3 years ago
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