All categories

2 years ago

Suppose y varies directly with x. Write a direct variation equation to relate x and y if y = 10 when x = 2

Mathematics

2 answers:

Ksivusya [100]2 years ago

4 0

Answer:

y=5x and y=40 when x=8

Cloud [144]2 years ago

4 0

Answer:

y = 5x

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 10 when x = 2

10 = 2k ( divide both sides by 2 )

5 = k

y = 5x ← equation of variation

You might be interested in

I NEED HELP ASAP PLEASE NO LINKS !!!

My name is Ann [436]

25-9=16 so 16 is the answer

8 0

3 years ago

CAN SOMEONE HELP??! VERY URGENT

tia_tia [17]

85 = 10x+15
70 = 10x
x = 7

180-85 = 95 = z

3 0

3 years ago

Debbie buys a tree for the holidays. She would like to determine the amount of space it will take up in her living room. The tre

german

Answer:

Volume of Cone =

$= \frac{1}{3}\pi (2)^2 (4)\\\\=\frac{1}{3}(3.14)(4)(4)\\\\=\frac{1}{3}\times 3.14\times 16 \\\\=\frac{1}{3}\times50.24\\\\=16.746\\\\\approx16.75 \texttt {ft} ^3$

Thus, Volume = 16.75 cubic feet

Step-by-step explanation:

Volume of a cone is given by the formula

$V=\frac{1}{3}\pi r^2 h$

Where r is the radius and

h is the height

Given radius r = 2 and

height is 2 times that.

So height is 2*2 = 4

Plugging these into the formula we get:

Volume of Cone =

$= \frac{1}{3}\pi (2)^2 (4)\\\\=\frac{1}{3}(3.14)(4)(4)\\\\=\frac{1}{3}\times 3.14\times 16 \\\\=\frac{1}{3}\times50.24\\\\=16.746\\\\\approx16.75 \texttt {ft} ^3$

Thus, Volume = 16.75 cubic feet

8 0

3 years ago

Which of the following lines is perpendicular to the line Y = 3x -4

andriy [413]

Answer:

Step-by-step explanation:

When a line is perpendicular to another, their slopes will be opposite reciprocal. For example, 1 would be -1, -3 would be $\frac{1}{3}$ , and $\frac{5}{1}$ would be -5. The equation is written in slope-intercept form: