All categories

3 years ago

7. Suppose that y varies inversely with x. Write an equation for the inverse variation,

Mathematics

1 answer:

lys-0071 [83]3 years ago

7 0

Answer:

The answer is

Step-by-step explanation:

The statement

y varies inversely with x is written as

$y = \frac{k}{x}$

where k is the constant of proportionality

To find k substitute the values of x and y into the equation

From the question

y = 4

x = 6

We have

$4 = \frac{k}{6}$

Cross multiply

k = 4 × 6

k = 24

So the formula for the variation is

Hope this helps you

You might be interested in

Write the equation of the perpendicular bisector of . Point B is located at (–3, 1), and point C is located at (1, 5).

maxonik [38]

The equation of perpendicular bisector of BC is

$y=-x+2$

Further explanation:

A perpendicular bisector passes through the mid-point of a line so to get an ordered pair from which the perpendicular bisector will pass we need to find the mid-point of BC.

$Mid-point = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )\\Here\\(x_1,y_1) = (-3,1)\\(x_2,y_2) = (1,5)\\Putting\ values\ in\ formula\\M = (\frac{-3+1}{2} , \frac{1+5}{2} )\\= (\frac{-2}{2} ,\frac{6}{2})\\= (-1, 3)$

So the perpendicular bisector will pass through (-1,3)

Let m1 be the slope of BC

Then

$m_1 = \frac{y_2-y_1}{x_2-x_1} \\=\frac{5-1}{1+3} \\=\frac{4}{4}\\ =1$

Let m2 be the slope of perpendicular bisector

We know that the product of slopes of perpendicular lines is -1.

$m_1.m_2 = -1\\1*m_2 = -1\\m_2 = -1$

The standard form of point-slope form of line is:

$y=mx+b$

Putting the value of slope of bisector we get

$y=(-1)(x)+b\\y=-x+b$

To find the value of b, put the ordered pair (-1,3) in the equation

$3 = -(-1) +b\\3= 1+b\\3-1 =b\\b=2\\$

Putting the values of m and b in standard form

$y=-x+2$

Hence the equation of perpendicular bisector of BC is

$y=-x+2$

Keywords: Perpendicular bisector, Point-slope form

Learn more about point-slope form at:

#LearnwithBrainly

6 0

3 years ago

Douglas bought a $20 game card at a

satela [25.4K]

Answer:

Douglas can race the go-karts at least 3 times.

Step-by-step explanation:

Given that:

Worth of game card = $20

Cost of go-kart = $3.50 each time

Amount Douglas wants to left = $7.75

Let,

x be the times Douglas can ride go-kart.

20 - 3.50x ≤ 7.75

-3.50x ≤ 7.75 - 20

-3.50x ≤ -12.25

3.50x ≤ 12.25

Dividing both sides by 3.50

$\frac{3.50x}{3.50}\leq \frac{12.25}{3.50}\\x\leq 3.5$

Hence,

Douglas can race the go-karts at least 3 times.

5 0

2 years ago

Simplify the expression <br><br> 64 7/12

VladimirAG [237]

775/12 , is your answer.

8 0

3 years ago

Read 2 more answers

Help me- what number of units and where

gladu [14]

8 units to the left and 5 units up.

Just pick any point on the blue triangle and count how many you move to get to that same point on the red triangle.

4 0

3 years ago

Which of the following terms is defined as "a point that divides a segment into two congruent segments"?

Bond [772]

I would say D midpoint! Hope this helps :)

3 0

3 years ago

Read 2 more answers