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WITCHER [35]
2 years ago
5

the line passing through the points A (-1,3k) and B (k , 3) is parallel to the line whose equation is 2y+3x=9. write down the co

-ordinates of A and B​
Mathematics
1 answer:
vodomira [7]2 years ago
4 0

Answer:

k = 3

Step-by-step explanation:

If the line passing through the points A (-1,3k) and B (k , 3) is parallel to the line whose equation is 2y+3x=9, then their slopes are equal

For coordinate AB;

slope m1 = 3 - 3k/k-(-1)

m1 = 3-3k/k+1

For the line 2y+3x = 9

2y = -3x + 9

y = -3/2 x + 9/2

Slope m2 = -3/2

Since m1 = m2

3-3k/k+1 = -3/2

Cross multiply

2(3-3k) = -3(k+1)

Expand

6 - 6k = -3k - 3

-6k+3k = -3 - 6

-3k = -9

k = -9/-3

k = 3

Hence the value of k is 3

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Anvisha [2.4K]
200.96 rounded to the nearest hundredths would be 201 because in you decimal places you have .96 and your thousandths place is 6 so you would round. Up the 9 to 10 so you would have to make 200 into 201 therefore your answer would be 201
8 0
3 years ago
Solve for n , S = (n - 2)180
pogonyaev
S=(n-2)180
Dived 180 both sides
S/180=n-2 add 2 both sides
S/180+2=n
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7 0
3 years ago
Given:<br> f(x)=x^2<br> g(x)=x-1<br> Find f(g(2))+g(f(-1))
Marina CMI [18]

Answer:

-1

Step-by-step explanation:

First, we need to work out the left-hand side.

  • find g(2) → g(2) = 2 - 1 which is 1
  • next, find f(1) → f(1) = 1³ which is 1

Now, we can work out the right hand side.

  • find f(-1) → f(-1) = -1³ which is -1
  • then, find g(-1) → g(-1) = -1 - 1 = -2

Finally we can work out the full sum: 1 + -2 = -1.

Hope this helps!

8 0
2 years ago
<img src="https://tex.z-dn.net/?f=%5Csqrt%7B2%7D%20%5Cfrac%7B7%7D%7B8%7D" id="TexFormula1" title="\sqrt{2} \frac{7}{8}" alt="\sq
quester [9]

Answer:

\sqrt{2\frac{7}{8} } =\\\sqrt{\frac{25}{8} } =\\\sqrt{\frac{25*2}{16} } =

±5√2/4

5 0
3 years ago
Help QUICKLY please! ill mark brainliest
Schach [20]

Answer:

It should be 905m3

Step-by-step explanation:

Result

Volume =  

4  πr3

3

=  

4 ×π×63

3

=  288π

=  904.77868423386 feet3

Even if it says feet, the measure doesn't really matter on this one.

7 0
2 years ago
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