All categories

3 years ago

For the inverse variation equation xy = k, what is the constant of variation, k, when x = –3 and y = –2?

Mathematics

2 answers:

Dovator [93]3 years ago

7 0

Answer:

6 =k

Step-by-step explanation:

Given the equation for inverse variation

xy = k

We know x=-3 and y = -2

Substituting these values in

(-3) (-2) = k

6 =k

belka [17]3 years ago

4 0

Answer:

d.6

Step-by-step explanation:

You might be interested in

Round 428,213 to the nearest ten thousand

givi [52]

Answer:

Round 428,213 to the nearest ten thousand = 428,210

6 0

2 years ago

Lindsay enjoys looking at the different coins people have thrown into the fountain at the mall. Which statement best explains ho

Nina [5.8K]

Answer: Electrons in water act in a similar way to visible light so they don't absorb or reflect most of the light. Instead they allow it to pass through relatively unimpeded, absorbing wavelengths like infrared and reflecting invisible UV

7 0

2 years ago

If f(x)=1/x+2/x, then f(1/3)=

Kaylis [27]

Answer:

f(1/3) = 9

Step-by-step explanation:

f(x)=1/x+2/x

Combine terms

f(x) = 3/x

f(1/3) = 3 / (1/3)

f(1/3) = 9

7 0

3 years ago

Find the slope of the line passing through the pairs of points and describe the line as rising, falling, horizontal or vertical.

Anna [14]

Answer:

$a.\ m=2,\ \text{the line is rising}\\\\b.\ m=-\dfrac{5}{4},\ \text{the line is falling}\\\\c.\ m=0,\ \text{the line is horizontal}\\\\d.\ m\ is\ unde fined,\ \text{the line is vertical}$

Step-by-step explanation:

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

m > 0, then a line is rising

m < 0, then a line is falling

m = 0, then a line is horizontal

m is undefined, then a line is vertical

(2, 1) and (4, 5)

$m=\dfrac{5-1}{4-2}=\dfrac{4}{2}=2>0\to\text{rising}$

(-1, 0) and (3, -5)

$m=\dfrac{-5-0}{3-(-1)}=\dfrac{-5}{4}=-\dfrac{5}{4}$

(2, 1) and (-3, 1)

$m=\dfrac{1-1}{-3-2}=\dfrac{0}{-5}=0\to\text{horizontal}$

(-1, 2) and (-1, -5)

$m=\dfrac{-5-2}{-1-(-1))}=\dfrac{-7}{0}\ \text{UNDEFINED}\to\text{vertical}$

7 0

2 years ago

A raindrops has a mass of 0.50g. how many moles of water does a raindrop contain

alina1380 [7]

So, here you have to look at the periodic table and see what the molar mass of each molecule composing the water compound $H_2 O$
its two hydrogen atom plus an oxygen molecule, making it about 18g per mol.

That said, looking at the mass, we have to ask ourselves, if a mol of water contains 18g of mass, how many moles do we have in 0.5g of water?
We just do a cross multiplication:
$\frac{(0.5)}{18} =0.027 mol$

7 0

3 years ago