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3 years ago

What is the gradient of the graph shown? Give your answer in its simplest form.

Mathematics

1 answer:

Ede4ka [16]3 years ago

6 0

Answer:

The gradient is m=1/3

Step-by-step explanation:

The gradient, known as the slope, is the rate of change, defined as the change in y divided by the change in x. In this case, we will select two points from the line and calculate the slope from there. I selected (0,3) and (3,4) to demonstrate:

Slope=m=(y2-y1)/(x2-x1)=(4-3)/(3-0)=1/3

Therefore, the gradient/slope is 1/3.

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What is 5x-y=35 in slope form

olga55 [171]

5x-y=35
y = 5x - 35 ....slope form

hope it helps

3 0

4 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%20-%207%20%2B%20%20%5Cfrac%7Bf%7D%7B2%7D%20%3D%20%20-%201" id="TexFormula1" title=" - 7 + \f

vovikov84 [41]

First you had to add by seven from both sides of equation form.

$-7+\frac{f}{2}+7=-1+7$

Then simplify by equation.

$\frac{f}{2}=6$

Next, you multiply by two from both sides of equation form.

$\frac{2f}{2}=6*2$

And finally, simplify by equation.

$6*2=12$

$2*6=12$

$12/6=2$

$12/2=6$

$f=12$

Final answer: $\boxed{f=12}$

Hope this helps!

And thank you for posting your question at here on brainly, and have a great day.

-Charlie

3 0

3 years ago

There is 0.3 kg of tin in a sword.

Sauron [17]

Answer:

2 kg

Step-by-step explanation:

15/100 x = 0.3

x = 0.3 * 100/15

x = 2

7 0

3 years ago

Graph g is a translation of the graph of y= sin x (dashed line).a) write down the equation of g b) write down the coordinates of

labwork [276]

Answer:

a) $G(x)= \sin x + 2$

b) The coordinates of P are

$\displaystyle \left( \frac{3\pi}{2},1\right)$

Step-by-step explanation:

Translation

The dashed line shows the graph of the function

$y = \sin x$

This function has a maximum value of 1, a minimum value of -1, and a center value of 0.

Graph G shows the same function but translated by 2 units up, thus the equation of G is:

$\boxed{G(x)= \sin x + 2}$

b) The coordinates of P correspond to the value of

$x = \frac{3\pi}{2}$

The value of G is

$\displaystyle G(\frac{3\pi}{2})= \sin \frac{3\pi}{2} + 2$

Since

$\sin \frac{3\pi}{2}=-1$

$\displaystyle G(\frac{3\pi}{2})= -1+ 2=1$

The coordinates of P are

$\displaystyle \left( \frac{3\pi}{2},1\right)$

8 0

3 years ago

On a sunny day, liam decided to walk 15 mi to his grandmother's house. after walking for a while at a rate of 3 mph, liam realiz

kakasveta [241]

Liam arrived at his grandmother’s house 2 hours after he started. Hence, the total distance Liam travel by taxi is: 10 mi.

<h3>How to calculate the distance with the concept of linear equation in two variables?</h3>

With the linear equation in two variables concept, we can state that the total time taken by Liam to reach his grandmother’s house is:

t1 + t2 = total hours needed

t1 + t2 = 2 hours ---> (equation 1)

Meanwhile, his initial location is 15 miles away from his grandmother’s house. We know that distance = speed x time. ---> (equation 2)

Therefore, from both equations above, the total distance could be stated as:

Total distance = (3 x t1) + (30 x t2)

By solving that equation, we get t1 = 5/3 hour and t2 = 1/3 hour.

Hence, the distance Liam travel by taxi is:

Total distance = 30 x t2

Total distance = 30 x 1/3

Total distance = 10 mi.

Learn more about speed and distance here brainly.com/question/26046491

#SPJ4

7 0

1 year ago