Question

Q7 Find the value of k for which the lines 2 x – 3 y + 4 = 0 and 3 x + 4 y = 5 and k x + 4 y = 6 meet at a point .

1 point

Your answer


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Answer 1

Step-by-step explanation:

For Easter, you decide to buy a delicious box of chocolates for your teacher. It contains three cherry-filled chocolates, five butter-cream chocolates, two mint chocolates, and two almond-filled chocolates. In how many ways can your teacher select some (one or more) chocolates?

Answer 2

Answer:

answer 7

Step-by-step explanation:

The two lines are

x(2+6k)+y(3−k)+4+12k=0 ......(1)

and 7x+5y−4=0 ......(2)

Let m

1

and m

2

be the slopes of 1 and 2 respectively. Then,

m

1

=−

3−k

2+6k

,m

2

=−

5

7

If lines 1 and 2 are perpendicular. Then,

m

1

m

2

=−1

(−

3−k

2+6k

)(−

5

7

)=−1

14+42k=−15+5k

k=−

37

29