All categories

3 years ago

What is the slope of a line that contains the two points (0, 3) and (4, 5)?

Mathematics

1 answer:

Anika [276]3 years ago

5 0

The formula for slope is (y2 -- y1) / (x2 -- x1).

(0,3) (4,5)

5 - 4 = 1

3 - 0 = 3

So the slope is 1/3.

Hope this Helps!!

You might be interested in

Find the value of x.

bekas [8.4K]

Answer:

$x=7$

Step-by-step explanation:

The sum of exterior angles of a polygon is equal to 360 degrees
$(12x+37)+(12x-2)+(20x-29)+46=360\\12x+12x+20x+46+37-29-2=360\\44x+52=360\\44x+52-(52)=360-(52)\\44x=308\\x=7$

3 0

3 years ago

Please teach me on how to answer this question. (addmath question)

arsen [322]

We know that $\overline{x}=8$ so:

$\overline{x}=8\\\\\\\dfrac{\sum\limits_{k=1}^7\,x_k}{7}=8\qquad|\cdot7\\\\\\ \boxed{\sum\limits_{k=1}^7\,x_k=56}$

We want to calculate:

$\sum\limits_{k=1}^7\,\big(2x_k-3\big)^2=\sum\limits_{k=1}^7\,\big(4x_k^2-12x_k+9\big)=\\\\\\=\sum\limits_{k=1}^7\,4x_k^2-\sum\limits_{k=1}^7\,\big12x_k+\sum\limits_{k=1}^7\,9=4\sum\limits_{k=1}^7\,x_k^2-12\sum\limits_{k=1}^7\,x_k+\sum\limits_{k=1}^7\,9=\\\\\\=4\cdot672-12\cdot56+7\cdot9=2688-672+63=\boxed{2079}$

5 0

3 years ago

Brad and Wes are building a tree house.They cut a 12 1/2 foot piece of wood into 5 equally sized pieces.How long is each piece o

inessss [21]

Answer=C 2 1/2

(12 1/2)÷5=2 1/2

or

12.5/5=2.5=2 1/2

7 0

3 years ago

Please help me answer this

jonny [76]

The answer is 112 im pretty sure!

4 0

3 years ago

In 1960, the population of a town was 14 thousand people. Over the course of the next 50 years, the town grew at a rate of 30 pe

andre [41]

SOLUTIONS

Given: Assume y is the population

$\begin{gathered} t=0=1960,y=14030 \\ t=1=1961,y=14060 \\ so\text{ b = 14000} \\ so\text{ k = 30} \end{gathered}$

The town grow at the rate of 30 people per year.

$y=kt+14000$ $y=30t+14000$

(A) The population predicted to be in 2030 will be

$\begin{gathered} 2030-1960=70 \\ y=30k+14000 \\ y=30(70)+14000 \\ y=2100+14000 \\ y=16100people \end{gathered}$

(B) so when y = 15000, find t

$\begin{gathered} y=15000 \\ y=30t+14000 \\ 15000=30t+14000 \\ 15000-14000=30t \\ 1000=30t \\ t=\frac{1000}{30} \\ t\approx33 \\ t=1960+33 \\ t=1993 \end{gathered}$

3 0

1 year ago