All categories

2 years ago

The diagram shows the straight line which passes through the points (0, 1) and (3, 13).

Mathematics

1 answer:

Damm [24]2 years ago

5 0

Answer:

y=4x+1

Step-by-step explanation:

First find the gradient of the straight line

Then substitute the gradient in the formula y=mx+c.

Substitute one of the given coordinates in the line to find the value of c.

After finding the value of c substitute it in the formula but do not write the values of x and y in the formula

You might be interested in

What are the exact solutions of x2 − 5x − 1 = 0 using x equals negative b plus or minus the square root of the quantity b square

geniusboy [140]

Answer:

$x=2.5+\frac{\sqrt{29}}{2}\\\\x=2.5-\frac{\sqrt{29}}{2}$

Step-by-step explanation:

So the question here is asking you to use the quadratic formula which is expressed as: $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\$

A quadratic can generally be expressed as: $y=ax^2+bx+c$

So using the equation you gave: $0=x^2-5x-1$

We can identify the following values: a=1, b=-5, c=-1

Btw the equation explicitly write "1" as the coefficient of x, but since it's not provided it's implied that it's 1.

So plugging in the known values, we get the following equation:

$x=\frac{5\pm\sqrt{(-5)^2-4(1)(-1)}}{2(1)}\\\\x=\frac{5\pm\sqrt{25+4}}{2}\\\\x=\frac{5\pm\sqrt{29}}{2}\\\\x=2.5+\frac{\sqrt{29}}{2}\\\\x=2.5-\frac{\sqrt{29}}{2}$

The last step just consists of taking the + and - solution, and since it asks for exact solutions you leave the 29 under the radical, and you don't approximate. There is no further simplification that can be done here.

5 0

1 year ago

Regan's New Year's resolution is to exercise more. Today, she plans to run 1.5 miles on the track around her school's football f

Contact [7]

Answer:

6 laps

Step-by-step explanation:

According to the scenario, calculation of the data are as follows:

Each lap = 0.25 miles

Regan's plan to run= 1.5 miles

So, we can calculate number of laps by using following formula,

Number of laps = Total miles to run ÷ each lap miles

By putting the value, we get

Number of laps = 1.5 miles ÷ 0.25 miles

= 6 laps

So, she should run 6 laps.

7 0

2 years ago

Help me plzz.....................

Ierofanga [76]

This is Transitive Property.

Blame me if you get it wrong :\

6 0

2 years ago

What is the equation of a line when the slope is 7 and the y-intercept is -9.

den301095 [7]

Answer:

y = 7x - 9

Step-by-step explanation:

y = mx+b

m = slope = 7

b = y-intercept = -9

5 0

2 years ago

This is on a online thing soif you know the answer can you tell me ASAP<br><br><br> thanks

grigory [225]

Answer:

24.269

Step-by-step explanation:

6 0

2 years ago