All categories

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 genetic test is used to determine if people have a predisposition for thrombosis, which is the formation of a blood clot insid

IceJOKER [234]

Idk mane but uh I just don’t know

4 0

3 years ago

What is 10 as a percent?

Pavel [41]

Well it matters is the 10 out of 100 if so 10 as a perecent is 10%

7 0

3 years ago

Read 2 more answers

After the expression is simplified as much as possible, x is raised to what exponent?

vesna_86 [32]

After the expression is simplified as much as possible, x is raised to the exponent 2

8 0

2 years ago

Least common multiple of 2,7, and 13

san4es73 [151]

To work out the LCM, we need their prime factors. So:

2 is simple 2 x 1.

7 is also 7 x 1.

13 is also 13 and 1.

They all have in common "1" - so we keep that aside as 1 figure, rather than 3.

We still have the 2, 7 and 13 leftover.

We then multiply the 1 with the other figures.

So 1 x 2 x 7 x 13 is our answer.

Which is = 182.

Hope I helped:)

~FabSafxo

6 0

3 years ago

Read 2 more answers

The perimeter of a rectangular field is 372 yards. If the width of the field is 87 yards, what is its length?__yards

worty [1.4K]

ANSWER

The length of the rectangular field is 99 yards

EXPLANATION

Given information

The perimeter of a rectangle field is 372 yards

The width of the field is 87 yards

To find the length of the rectangular field, follow the steps below

Step 1: Write the formula for finding the perimeter of a rectangular field

$\begin{gathered} \text{ The perimeter of a rectangular field = 2\lparen l + w\rparen} \\ \text{ where l =length, and w = width} \end{gathered}$

Step 2: Substitute the given data into the formula in step 1

$\begin{gathered} \text{ Perimeter = 2 \lparen l + w\rparen} \\ \text{ Perimeter = 372 yards} \\ \text{ width = 87 yards} \\ \text{ 372 = 2\lparen l + 87\rparen} \\ \text{ Divide both sides by 2} \\ \text{ }\frac{372}{2}\text{ = }\frac{2}{2}(l\text{ + 87\rparen} \\ 186\text{ = l + 87} \\ \text{ subtract 87 from each sides of the equation} \\ \text{ 186 - 87 = l + 87 - 87} \\ \text{ 99 = l} \\ l\text{ = 99 yards} \end{gathered}$

Hence, the length of the rectangular field is 99 yards

7 0

8 months ago