All categories

2 years ago

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

Mathematics

1 answer:

Ede4ka [16]2 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.

You might be interested in

One side of a triangle is half the longest side. The third side is

Illusion [34]

Answer:

The length of the sides are 9 units, 18 units and 11 units

Step-by-step explanation:

Let

x ----> one side of the triangle

y ----> the longest side of the triangle

z ----> the third side of the triangle

we know that

The perimeter of triangle is equal to

$P=x+y+z$

we have

$P=38\ units$

$38=x+y+z$ ----> equation A

$x=\frac{y}{2}$ -----> equation B

$z=y-7$ ----> equation C

substitute equation B and equation C in equation A

$38=\frac{y}{2}+y+(y-7)$

solve for y

$38=\frac{5}{2}y-7$

$\frac{5}{2}y=38+7$

$\frac{5}{2}y=45$

$y=45(2)/5$

$y=18\ units$

<em>Find the value of x</em>

$x=\frac{y}{2}$ ---> $x=\frac{18}{2}=9\ units$

<em>Find the value of z</em>

$z=y-7$ ----> $z=18-7=11\ units$

therefore

The length of the sides are 9 units, 18 units and 11 units

4 0

3 years ago

Which of the following statements about AB and AC is true?

Mumz [18]

Answer: C

Step-by-step explanation:

Ap3x

7 0

3 years ago

What number is between 3/25 and √14? a) 1/14 b) 13/4 c) √20. d) 2 + π

Anna11 [10]

I believe it’s B. The others didn’t seem correct.

3 0

3 years ago

Read 2 more answers

If you earned $2000 in 10 mins how much would you earn in an hour?

MrRissso [65]

find out how much you earn per minute 2000/10=200

in an hour there are 60 minutes.

multiply the amount earned in a minute by the amount of minutes.

200*60=12000

So you earn $12,000 per hour

Wooow I wish I could earn that much

5 0

3 years ago

Write the fraction in simplest from 8/10

AleksandrR [38]

Divide common factors from both numerator and denominator.

Divide 2

8/2 = 4

10/2 = 5

8/10 simplified = 4/5

hope this helps

7 0

3 years ago

Read 2 more answers