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3 years ago

What is an equation of the line that passes through the points (-1, -2) and (2, 4)

Mathematics

1 answer:

olasank [31]3 years ago

3 0

Answer:

y = 2x

Step-by-step explanation:

Formula is y = mx + b

m is slope

slope = (4 - -2) / (2 - -1) = 6 / 3 = 2

Now equation is y = 2x + b

To find b, substitute one of the coordinates in the equation. Let's use (2,4)

y = 2x + b

4 = 2(2) + b

b = 0

So equation is y = 2x

You might be interested in

Let g(x) = – x^2 + 4x + 3. Find and simplify g(-3).

Evgen [1.6K]

Steps to solve:

g(x) = – x^2 + 4x + 3 when g(-3).

~Substitute x with -3.

g(-3) = -(-3)^2 + 4(-3) + 3

~Simplify

g(-3) = -9 - 12 + 3

~Simplify using PEMDAS

g(-3) = -18

Best of Luck!

7 0

3 years ago

Read 2 more answers

Question content area top

BigorU [14]

The volume of the slice is 40 in³. The volume of the remaining cake would be 197.014 in³.

<h3>What is a regular hexagon?</h3>

A regular hexagon can be defined as a closed shape consisting of six equal sides and six equal angles.

Here we have two regular hexagons

one top small hexagon cake with a side of length = 3 in, height = 3 in

One big hexagon cake, side of length = 4 in, Height = 4 in

A slice cut such that it removes a side segment is equivalent to an equilateral triangle with a side

length = length of hexagon side

The length of the side of the removed equilateral triangle side

Top small cake slice triangle side = 3 in.

Area of surface of small slice = 1/2 x b x h = 1/2 x 3 x 3 x sin 60

= 9√3/ 4

The volume of a small slice

= Area of surface small slice × Height of small cake

= 9√3/ 4 x 3

= 11. 69

Big cake slice triangle side = 4 in.

Area of the surface of big slice = 1/2 x 4 x 4 x sin 60

= 4√3

The volume of big slice = Area of the surface of big slice × Height of big slice

= 16√3

= 28

The total volume of slice = Volume of small slice + Volume of big slice

Total volume of slice = 12 in³ +28 in³ = 40 in³

For the small cake,

the remaining volume = 5 x 11.69 = 58.45

For the big cake

the remaining volume = 5 x 27.71 = 138.56

Total volume remaining cake

= 58.45 in³ + 138.56 in³ = 197.014 in³

a = Length of side

h = Height of hexagon

The volume of each slice is,

= a^2 x h x √3/4

For the small cake, we have

a = 3 in.

h = 3 in.

The volume of small slice = a^2 x h x √3/4

= 9 x 3 x √3/4

= 27√3/4

For the big cake, we have

a = 4 in.

h = 4 in.

Volume of big slice = a^2 x h x √3/4

= 16 √3

The total volume of slice = Volume of small slice + Volume of a big slice

Total volume of slice = 27√3/4 + 16 √3

The total volume of the slice = 39404 in³.

Learn more about hexagon;

brainly.com/question/16025389

#SPJ1

3 0

2 years ago

X2 +10x + 21<br> I need to factor the

Ber [7]

Answer:

(x + 7)(x + 3).

Step-by-step explanation:

x^2 +10x + 21

21 = 7 * 3 and 10 = 7 +3

so the factors are

(x + 7)(x + 3).

4 0

3 years ago

I need the answer ASAP plz help me

sladkih [1.3K]

Answer:

3.3

Step-by-step explanation:

4 0

3 years ago

Please answer this question for points

alexgriva [62]

Answer:

Step-by-step explanation:

Slope-intercept form is y = mx + b

"m" is the slope, how steep the line is.

"b" is the y-intercept, where to graph hits the y-axis.

Check the scale for this grid. Since there are "1" written on the first box after the middle, <u>one square = one unit</u>.

To find "m", use $m = \frac{rise}{run}$ between the two dotted points on the graph. The first point is always on the left.

<u>"Rise" means how many squares above</u> the first point the second point is.

Since the second point is below the first point, the number is negative.

<u>"Run" means how many squares to the right</u> the second point is.

$m = \frac{rise}{run}$

$m = \frac{-2}{1}$

$m = -2$

To find "b", look at where the graph it touching the y-axis.

The y-axis is the vertical line (going from top to bottom).

Count the number of squares from the grid's middle to the graph line.

There are 3 squares.

Since the graph touches below the origin, this is a negative number.

b = -3

In the boxes, you put negative two (-2) and negative three (-3).

* Usually we would simplify the equation to y = -2x - 3.

6 0

3 years ago