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Alika [10]
3 years ago
7

Find the distance between the points given. (-10, 3) and (-10, 12) 9 15

Mathematics
2 answers:
Novosadov [1.4K]3 years ago
8 0
The distance between the points (x₁,y₁) and (x₂,y₂):
d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

(-10,3) \\
x_1=-10 \\ y_1=3 \\ \\ (-10,12) \\ x_2=-10 \\ y_2=12 \\ \\
d=\sqrt{(-10+10)^2+(12-3)^2}=\sqrt{0+9^2}=\sqrt{9^2}=9

Another method:
The points have the same x-coordinate so they lie on the same line. y-coordinates are positive so you just subtract 3 from 12. See the picture in the attachment.

The answer is 9.

Rom4ik [11]3 years ago
8 0
The way to solve it can be shorter :) 
Just look, that  these points have got the same x-coordinate, 
so they lie  on the same line, which is parallel to the OY axis, 
So  your taks is only  find different  in y-coordinate. That is
12-3 = 9 
And this is answer :)
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Choosing 3 cards from a deck of 52 cards:

In short, how many combinations there are in choosing 3 cards among 52 ?

⁵²C₃ = (52!) / (3!)(49!) → 22,100 combinations
4 0
3 years ago
20 points! Simplify: 2y(2y+3yx^{2} )-y^{2} (3-y) please show work!
arlik [135]

Answer:

8x2y - 6x2 - 8xy2 - y2

Step-by-step explanation:

Equation at the end of step  1  :

 (((((5•(x2))•y)-(5•(x2)))+(3y•(x2)))-(3•(y2)))-((((x2)+(y2))+(8x•(y2)))-3y2)

Step  2  :

Equation at the end of step  2  :

 (((((5•(x2))•y)-(5•(x2)))+(3y•(x2)))-(3•(y2)))-((((x2)+(y2))+23xy2)-3y2)

Step  3  :

Equation at the end of step  3  :

 (((((5•(x2))•y)-(5•(x2)))+(3y•(x2)))-3y2)-(x2+8xy2-2y2)

Step  4  :

Equation at the end of step  4  :

 (((((5•(x2))•y)-(5•(x2)))+3x2y)-3y2)-(x2+8xy2-2y2)

Step  5  :

Equation at the end of step  5  :

 (((((5•(x2))•y)-5x2)+3x2y)-3y2)-(x2+8xy2-2y2)

Step  6  :

Equation at the end of step  6  :

 ((((5x2•y)-5x2)+3x2y)-3y2)-(x2+8xy2-2y2)

Step  7  :

Final result :

 8x2y - 6x2 - 8xy2 - y2

4 0
4 years ago
During a catered lunch, an average of 4 cups of tea are poured per minute. The lunch will last 2 hours. How many gallons of tea
Liono4ka [1.6K]

Answer:

30 gallons

Step-by-step explanation:

step 1 right it out

2 hour is 120 mins and 4 cups are poured per min

step 2 Equation time

so your equation should be

4/1=x/120

step 3 solve it out

1 times 120 is 120 is 4 times 120 is 480

but that is not the answer 480 is the amount of CUPS that are used for 2 hrs

so all u have to do is now convert

step 4 convert

16 cups are in 1 gal. so divide 480 by 16 and get 30 gal

x=30 gallons

hoped it helped

make me brainlist


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Each side in the pre-image is multiplied by three to find the corresponding side length in the image.

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