All categories

2 years ago

Find the distance and midpoint between (- 8, 1) and (4, 6)

Mathematics

1 answer:

Natali5045456 [20]2 years ago

5 0

Answer:

Distance: 13, Midpoint: (-2, 3.5)

Step-by-step explanation:

The distance formula is $\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }$ . We can plug in the numbers from your question so it would be √(4+8)^2+(6-1)^2 = √144+25=169 =√169 = 13

The midpoint formula is ((x1+x2)/2, (y1+y2)/2), which is -8+4/2, 1+6/2 = (-2, 3.5).

You might be interested in

A Spanish class has a total of

Kay [80]

There are seven females and nineteen males in the spanish class.

5 0

3 years ago

It has been said that newspapers are disappearing, replaced by various electronic media. In 2004, newspaper circulation (the num

shutvik [7]

Answer:

A. $y=-1.2x+59$

B. 42.2 million

Step-by-step explanation:

Part A:

Given:

Newspapers circulated in year 2004, $y_{1}=59\textrm{ million}$

Newspapers circulated in year 2014, $y_{2}=47\textrm{ million}$

Let the time $x$ start at the year 2004. So, $x_{1}=0$

For the year 2014, $x_{2}=2014-2004=10$

Therefore, linear relationship between newspapers circulated and time passed since 2004 is given as:

$y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}(x-x_{1})\\y-59=\frac{47-59}{10-0}(x-0)\\y-59=-\frac{12}{10}x\\y=-1.2x+59$

Therefore, the equation describing the relationship is: $y=-1.2x+59$

Part B:

For the year 2018, $x=2018-2004=14$

Plug in 14 for $x$ in the above equation and solve for $y$ . This gives,

$y=-1.2(14)+59\\y=-16.8+59\\y=42.2$

Therefore, in the year 2018, the newspaper circulation will be 42.2 million.

8 0

2 years ago

Write a real world problem in which you would multiply mixed numbers

user100 [1]

<span>Last week, Rosa ran 6 1/4 laps around the lake. Clara ran 1/5 as many laps around the lake as Rosa did. How many laps around the lake did Clara run?</span>

3 0

3 years ago

3. Carl is swimming 6 feet UNDER the water and Candice is standing on a dock 10

DochEvi [55]

Answer:

Step-by-step explanation:

1. Use a vertical number line to count how many spaces are between -6 and 10.

5 0

3 years ago

Read 2 more answers

They opened the front door and mr.mallard enters

SashulF [63]

<h3> Answer:</h3>

What is the Question?

4 0

3 years ago