All categories

2 years ago

The formula of calculating the gradient of a line is

Mathematics

1 answer:

jeka57 [31]2 years ago

4 0

Answer:

To calculate the gradient of a straight line we choose two points on the line itself. From these two points we calculate: The difference in height (y co-ordinates) ÷ The difference in width (x co-ordinates). If the answer is a positive value then the line is uphill in direction.

You might be interested in

Integrate Sec (4x - 1) Tan (4x - 1) Dx

Delicious77 [7]

$\bf \displaystyle\int~sec(4x-1)tan(4x-1)dx \\\\[-0.35em] ~\dotfill\\\\ sec(4x-1)tan(4x-1)\implies \cfrac{1}{cos(4x-1)}\cdot \cfrac{sin(4x-1)}{cos(4x-1)}\implies \cfrac{sin(4x-1)}{cos^2(4x-1)} \\\\[-0.35em] ~\dotfill\\\\ \displaystyle\int~\cfrac{sin(4x-1)}{cos^2(4x-1)}dx \\\\[-0.35em] ~\dotfill\\\\ u=cos(4x-1)\implies \cfrac{du}{dx}=-sin(4x-1)\cdot 4\implies \cfrac{du}{-4sin(4x-1)}=dx \\\\[-0.35em] ~\dotfill$

$\bf \displaystyle\int~\cfrac{~~\begin{matrix} sin(4x-1) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{u^2}\cdot \cfrac{du}{-4~~\begin{matrix} sin(4x-1) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies -\cfrac{1}{4}\int\cfrac{1}{u^2}du\implies -\cfrac{1}{4}\int u^{-2}du \\\\\\ -\cfrac{1}{4}\cdot \cfrac{u^{-2+1}}{-1}\implies \cfrac{1}{4}\cdot u^{-1}\implies \cfrac{1}{4u}\implies \cfrac{1}{4cos(4x+1)}+C$

5 0

3 years ago

Each batch of granola Lena makes uses 3 cups of oats, 1 cup of raisins, and 2 cups of nuts. Lena wants to make 4 batches of gran

pogonyaev

Answer:

12 cups oats, 4 cups raisins, 8 cups nuts

Step-by-step explanation:

For this problem, just multiply each ingredient by 4

4 0

3 years ago

Read 2 more answers

A teacher would like to estimate the mean number of steps students take during the school day. To do so, she selects a random sa

Helga [31]

Answer:

The answer is "It would decrease, but not necessarily by 8%".

Step-by-step explanation:

They know that width of the confidence level is proportional to a confidence level. As just a result, reducing the confidence level decreases the width of a normal distribution, but not with the amount of variance in the confidence level. As just a result, when a person teaches a 90% standard deviation rather than a 98 percent normal distribution, the width of the duration narrows.

6 0

3 years ago

Aurelio can choose between 3 pairs of pants and 4 shirts .How many different outcomes are in the sample space

olya-2409 [2.1K]

There are 12 different outcomes

3 0

3 years ago

Read 2 more answers

This is really easy i just dont get it

boyakko [2]

Answer:

x=1

Step-by-step explanation:

We wanna have the same amount on both sides

There are 3 circles on the left and 7 circles on the right. There are also 4 triangles. Turn into numbers...

4x+3=7

4x=7-3

x=1

We can check by substituting one

7=7

7 0

3 years ago