All categories

2 years ago

What is the equation of the line through (1,4) and (2,2)? y= _x + __

Mathematics

1 answer:

aivan3 [116]2 years ago

6 0

Answer:

y = -2x + 6

Step-by-step explanation:

y = mx + c

m = (2-4)/(2-1) = -2/1

m = -2

y = -2x + c

When x = 1, y = 4

4 = -2(1) + c

c = 4 + 2 = 6

y = -2x + 6

You might be interested in

Hi! how do i find surface area of a cylinder? for some reason i can’t get the right answer

asambeis [7]

$SA=2\pi r^2+2\pi rh$

Use the formula above to find the surface area of a cylinder.

For the given cylinder the given data is the height (6mi) and diameter (16mi), use the diameter to find the radius:

$\begin{gathered} r=\frac{d}{2} \\ \\ r=\frac{16mi}{2}=8mi \end{gathered}$

Surface area:

$\begin{gathered} SA=2\pi(8mi)\placeholder{⬚}^2+2\pi(8mi)(6mi) \\ SA=128\pi mi^2+96\pi mi^2 \\ SA=224\pi mi^2 \end{gathered}$ Then, the surface area of the given cylinder is: 224π square miles

5 0

10 months ago

How do i find the volume of these similar solids? round to the nearest tenth HELP

FromTheMoon [43]

Answer:

The volume of the larger solid is $592.6\ mm^3$

Step-by-step explanation:

<u><em>The question is</em></u>

If these solids are similar, find the volume of the larger solid

step 1

Find the scale factor

we know that

If two solids are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

x ----> the height of the larger solid in mm

y ----> the height of the smaller solid in mm

z ---> the scale factor

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

we have

$x=4\ mm\\y=3\ mm$

substitute

$z=\frac{4}{3}$ ---> scale factor

step 2

Find the volume of the larger solid

we know that

If two solids are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

x ----> the volume of the larger solid in cubic millimeters

y ----> the volume of the smaller solid in in cubic millimeters

z ---> the scale factor

$z^3=\frac{x}{y}$

we have

$z=\frac{4}{3}$

$y=250\ mm^3$

substitute the values

$(\frac{4}{3})^3=\frac{x}{250}$

solve for x

$(\frac{64}{27})=\frac{x}{250}$

$x=250(\frac{64}{27})$

$x=592.6\ mm^3$

4 0

3 years ago

A man bought 5 laptops and a desktop for taka 229600. If a laptop costs taka 32750 find the cost of the desktop

Anton [14]

One laptop costs 32,750.

He bought 5 laptops.

So, 5 x 32,750 = 163,750.

Let d = cost of one desktop.

163,750 + d = 229,600.

Solve for d to find your answer.

6 0

2 years ago

The function g(x) is shown in the graph at right. The function g(x) is a transformation of the parent function f(x)=x^2. Based o

Ivahew [28]

Answer: choice B

Step-by-step explanation:

6 0

2 years ago

What is the improper fraction 17/10 as a decimal

Rina8888 [55]

17 / 10 = 1 7/10 = 1.7

4 0

3 years ago

Read 2 more answers