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viva [34]
3 years ago
12

Write an equation of the line through (3,-5) and perpendicular to 3y=x-6

Mathematics
1 answer:
Alona [7]3 years ago
3 0
3y = x - 6
y = 1/3x - 2. 
slope her is 1/3. A perpendicular line will have anegative reciprocal slope. To find the negative reciprocal of a number, u flip the number and change the sign. So the slope we need os -3/1 or just -3.(see how I flipped the slope and changed the sign)

y = mx + b
slope(m) = -3
(3,-5)...x = 3 and y = -5
now we sub and find b, the y int
-5 = -3(3) + b
-5 = -9 + b
-5 + 9 = b
4 = b

so ur perpendicular equation is : y = -3x + 4
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What is the lowest common multiple of 24, 8 and 16.
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Answer:

48 is the answer

Step-by-step explanation:

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4 0
3 years ago
What is the surface area of a cube whose sides are 12 inches?
Alborosie

Answer:

just do 6 times 12 and get your answer

Step-by-step explanation:

aka the answer is 72

7 0
2 years ago
The distance between two points on a number line can be found by taking the ____A_____ of the ____B_____ of the coordinates. Fil
xeze [42]

Answer:

The distance between two points on a number line can be found by taking the <u>absolute value</u> of the <u>difference</u> of the coordinates.

Step-by-step explanation:

  • Every point can be paired with a number on a number line
  • The coordinate is the number associated with a point
  • To find the distance between point A and B you subtract the coordinates in any order you like and take the absolute value.
6 0
3 years ago
10x4ones= ones=<br> 10x2tens= tens=
Vsevolod [243]
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5 0
3 years ago
The sample space listing the eight simple events that are possible when a couple has three children is {bbb, bbg, bgb, bgg, gbb,
NNADVOKAT [17]

Answer:

bbbb,

bbbg, bbgb, bgbb, gbbb,

bbgg, bgbg, bggb, gbgb, gbbg, ggbb,

bggg, gbgg, ggbg, gggb,

gggg

Step-by-step explanation:

3 children: bbb, bbg, bgb, gbb, bgg, gbg, ggb, ggg

4 children: bbbb, bbbg, bbgb, bgbb, gbbb, bbgg, bgbg, bggb, gbgb, ggbb, bggg, gbgg, ggbg, gggb, gggg

You need to take a methodological approach;

The 2 easiest are the possibility of all boys and all girls;

Then consider 3 boys and 1 girl:

bbbg, bbgb, bgbb, gbbb

Then 2 boys and 2 girls:

bbgg, bgbg, bggb, gbgb, gbbg, ggbb

Lastly, 1 boy and 3 girls:

bggg, gbgg, ggbg, gggb

In total, there are 16 possibilities

P.S. interesting to note is that the number of possibilities here follows the pattern of Pascal's triangle:

       1

     1   1

   1  2  1

 1  3  3  1

1  4  6  4  1

The last row is relevant here;

There is 1 possibility where there are 4 boys;

There are 4 possibilities (in terms of the order of birth) where there are 3 boys and 1 girl;

There are 6 possibilities where there are 2 boys and 2 girls

There are 4 possibilities where there is 1 boy and 3 girls;

There is 1 possibility where there are 4 girls;

The pattern ∴ is 1 4 6 4 1, as the 5th row of Pascal's triangle reads;

If your talking about 3 children, it would match the 4th row of Pascal's triangle;

So, 1 possibility of 3 boys;

3 possibilities of 2 boys and 1 girl;

3 possibilities of 1 boy and 2 girls;

And 1 possibility of 3 girls;

If your talking about 10 children, it would match the 11th row of Pascal's triangle.

(Maths can be so cool XD)

7 0
3 years ago
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