1 year ago

What is the value of k such that 5x-2y=9 and 6x+ky=4 are perpendicular?

Mathematics

1 answer:

max2010maxim [7]1 year ago

8 0

5x-2y=9......(1)

6x+ky=4......(2)

slope of eqn i= -5/-2

=5/2

slope of eqn ii = -6/k

since the line are perpendicular

5/2 * -6/k = -1

-30= -2k

k=15

You might be interested in

a container of coffee is 1/6 full.The container contains 2/3 of a pound of coffee.write division expression that represents the

zimovet [89]

Answer:

capacity of the container is 4 pound

Step-by-step explanation:

We have given that a container of the coffee is $\frac{1}{6}$ full

And it contains $\frac{2}{3}$ of a pound so $\frac{2}{3}$ pound

It means $\frac{1}{6}$ f of container contain $\frac{2}{3}$ pound coffee

So capacity of the container is $\frac{\frac{2}{3}}{\frac{1}{6}}=4pound$

So capacity of the container is 4 pound

8 0

3 years ago

Areal estate agent makes a 6% commission on the sale of a house.What is the commission on a house that costs $225,000?

Softa [21]

Answer:

$13,500

Step-by-step explanation:

convert percentage to decimal first by dividing it by 100. Multiply the commission percentage by the purchase price to find out your total commission.

8 0

3 years ago

A weather balloon is 100,000 feet above sea level, and a submarine is 15,840 feet below sea level, drectly under the weather bal

GarryVolchara [31]

$\text{Calculate how far apart the balloon and submarine are from each other}\\\\\text{We know that the balloon is 100,000 feet ABOVE sea level}\\\\\text{We also know that the submarine is 15,840 BELOW sea level}\\\\\text{To find the distance between each other, add the values, since they're}\\\text{farther apart since one's below sea level and one is above sea level}\\\\100,000+15840=115,840\\\\\boxed{\text{Answer: 115,840 feet apart }}$

5 0

3 years ago

If you flip two coins 16 times, what is the best prediction possible for the number of times both coins will land on tails?

mr_godi [17]

Answer:

2×16

=32

Step-by-step explanation:

hope it helps..

8 0

3 years ago

What is h^2+6h-27 ????????????

nydimaria [60]

Answer:

Sorry it's acually (h+3)(h-9)

4 0

3 years ago