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3 years ago

Find the slope between the two given points in questions 3-4.

Mathematics

2 answers:

Sophie [7]3 years ago

3 0

I think you have to figure out the gradient, so you take the 2 points and put it into the equation
change in y divided by change in x aka
y2-y1/x2-x1

so for question 3:
y2=4 and y1=3
(taken from the first and second coordinates)
x2=3 and y1=7
put these values jnto the equation
4-3/3-7 = 1/-4 (can be written as negative 1/4)

for question 4 its the same thing:
y2=9 and y1=5
x2=4 and x1=2
put into equation
9-5/4-2 = 4/2

hope this helps, im also hoping your teacher already has taught this because i didnt go into detail of where the equation came from, if not ask me and ill gladly help X

pogonyaev3 years ago

3 0

The general formula for the slope between two points is slope = . To find the vertical and horizontal distances between the two points, sometimes this can be seen by looking at the graph, but the vertical and horizontal distances between two points can always be found by subtracting the coordinates of the two points.
I've attatched a visual example for you;

if you follow this formula you will end up with the following results :

3) 1/-4 = -0.25 = Negative Slope
4) 4/2 = 2 = Positive Slope

Hope I helped

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Suppose you plan to fence in an area where your dog can exercise without getting into the street. The length will be 3 times the

Reptile [31]

Answer:

The width of the equation is 3 and the length is 9

Step-by-step explanation:

This problem was kind of simple for me to answer. The first thing I did was divide the 4 sides of the perimeter into sections which would bring me to find that it was 6 inches on each side then I divided that by 2 bringing me to the answer of 3. Then I decided to multiply 3 by 3 which brought me to the answer 9. I decided to try it around the perimeter which would be....

9+9+3+3=?

I added the 9's first which gave me 18 .Then added the 3's together which gave me 6. The final step I added 6 and 18 together and got 24.

Giving the fact that the length is 3 times greater than the width I came to the conclusion that....

3 is the width and 9 is the length.

6 0

2 years ago

Expand the following: a) x(x + 6) b)x(5x - 1) c) 3x(6x + 5) d) 4x(2x - 3y)

-Dominant- [34]

Answer:

$a) x^2+6x\\b) 5x^2-x\\c) 18x^2+15x\\d) 8x^2-12xy$

Step-by-step explanation:

This problem utilizes the Distributive Property, which states

that a(x + y) = ax + ay.

Hope it helps :) and let me know if you want me to elaborate.

4 0

3 years ago

Serenity picked 75% of the apples of a tree in her backyard. If she picked 30 apples, how many apples were on the tree to begin

Stells [14]

Given:

Serenity picked 75% of the apples of a tree in her backyard.

She picked 30 apples.

To find:

The number of apples on the tree in the beginning.

Solution:

Let x be the number of apples on the tree in the beginning.

Serenity picked 75% of the apples of a tree in her backyard.

Number of apples picked = 75% of x

= $\dfrac{75}{100}x$

= $\dfrac{3}{4}x$

She picked 30 apples.

$\dfrac{3}{4}x=30$

Multiply both sides by 4.

$3x=4\times 30$

$3x=120$

Divide both sides by 3.

$x=\dfrac{120}{3}$

$x=40$

Therefore, the number of apples on the tree in the beginning is 40.

3 0

3 years ago

Emily spent £2400 on holiday in 2017.

LekaFEV [45]

Answer:

£1920

Step-by-step explanation:

The amount she spent in 2016 is 20% less than 2017. 20% less than is the same as 80% of the amount she spent in 2017. So, to find how much she spent in 2016, multiply 2400 by 0.80 (the decimal form of 80%):

2400 * 0.8 = 1920

Emily spent £1920 on holiday in 2016.

I hope this helps :)

8 0

3 years ago

A force of $20$ newtons will stretch a spring $5$ centimeters. What is the total number of centimeters that a force of $60$ newt

Aleksandr-060686 [28]

Answer:

Step-by-step explanation:

Hooke's Law applies here, which is a linear relationship. It would be easier to solve this using proportions with N of force on the top and the amount of stretch in cm on the bottom. Set up with our unknown, the number of cm:

$\frac{N}{cm}:\frac{20}{5}=\frac{60}{x}$ and cross multiply:

20x = 300 so

x = 15 cm

6 0

3 years ago