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Zolol [24]
3 years ago
6

Find the distance and midpoint for (2, 0, -2) and (5, -4, 6)

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
7 0
Hi, It is well simples:

The distance between two points is :

d( A, B) = √[ (xb - xa)^2+(yb - ya)^2+(zb - za)^2]


Then,

A = (xa, ya, za )

B = (xb , yb , zb)

We know:

A = ( 2 ,0 ,-2)

And,

B = (5 , -4 , 6)
___________

xb - xa = 5-2 <=> 3

yb - ya = -4 - 0 <=> -4

zb - za = 6 - (-2) <=> 8

Then us stay:

d( A, B) = √[ (3)^2 + (-4)^2+(8)^2]

= √( 9 + 16 + 64)

= √( 25 + 64)

= √(89)

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What is 21 1/2‐6 1/2​
snow_tiger [21]

Answer

15

Step-by-step explanation:

Please mark brainliest.

4 0
2 years ago
There are 50 cupcakes and 160 cookies to be sold at the school bake sale. What is the greatest number of packages of baked items
Sav [38]

The greatest number of packages of baked items that can be sold is 10

<em><u>Solution:</u></em>

Given that there are 50 cupcakes and 160 cookies to be sold at the school bake sale

To find: greatest number of packages of baked items that can be sold

Each package has the same number of cupcakes and same number of cookies with none left over

So, we have to find the greatest common factor of 50 and 160

The greatest number that is a factor of two (or more) other numbers.

When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor.

<em><u>Greatest common factor of 50 and 160:</u></em>

The factors of 50 are: 1, 2, 5, 10, 25, 50

The factors of 160 are: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Then the greatest common factor is 10

So the greatest number of packages sold is 10

<em><u>Each package will contain:</u></em>

Given that there 50 cupcakes and 160 cookies

<em><u>Number of cupcakes in 1 package:</u></em>

\rightarrow \frac{50}{10} = 5

<u><em>Number of cookies in 1 package:</em></u>

\rightarrow \frac{160}{10} = 16

So each package has the same number of cupcakes and same number of cookies with none left over

7 0
3 years ago
If integral 0 to 3 of f(x)=-4 find integral -1 to 3 of 5f(x)+1
SVEN [57.7K]

Answer:12


Step-by-step explanation:


3 0
3 years ago
What is the measure of ∠S? <br><br> 50°<br> 30°<br> 100°<br> 60°
Scilla [17]
Hello,

Answer B

An exterior angle of a circle has like measure the half of difference of the arcs.
mes S=(85°-25°)/2=60°/2=30°
7 0
3 years ago
QUESTION 8. An unknown number is added to 8. The sum is
Rudik [331]

Answer:

82

Step-by-step explanation:

Let the unknown number be x

If an unknown number is added to 8, this is expressed as;

8 + x

<em>If The sum is  then divided by 9 to give the answer 10, then;</em>

<em>(8+x)/9 = 10</em>

<em>Cross multiply</em>

<em>8 + x = 9 * 10</em>

<em>8 + x = 90</em>

<em>x = 90 - 8</em>

<em>x = 82</em>

Hence the unknown number is 82

3 0
3 years ago
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