Find the gradient of the line segment between the points (-4,1) and (2,4). Give your answer in its simplest form.

Mathematics

2 answers:

Umnica [9.8K]3 years ago

4 0

Answer:

1/2

Step-by-step explanation:

andrew-mc [135]3 years ago

3 0

Answer:

Solution,

Let the points be A and B

A(-4 , 1)------>( X1, y1)

B(2,4)---------->( x2, y2)

Now,

Gradient:

$\frac{y2 - y1}{x2 - x1}$

$\frac{4 - 1}{2 - ( - 4)}$

$\frac{3}{2 + 4}$

$\frac{3}{6}$

$\frac{1}{2}$

Hope this helps...

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A farmer has a collapsable grain bag which can expand both vertically and horizontally as he needs it to. He wants to find a fun

bija089 [108]

Answer:

$3x^{3}+15x^{2}+x+5$

Step-by-step explanation:

We are told that the area of the bag can be represented by the function $f(x)=3x^{2} +1$ and as the bag is raised up its height can be represented by the function $g(x)=x +5$ .

Since we know that we can find volume of cuboid by multiplying base area to its height. We are given area and height of bag as functions. Now we will find volume of the bag by multiplying these functions.

$\text{Volume of collapsible bag}=f(x)*g(x)$