1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Naily [24]
3 years ago
9

Find the distance between each set of points. Round to the nearest tenth, when necessary. (-3, 2) and (1, -6)

Mathematics
1 answer:
vovangra [49]3 years ago
6 0

Answer:

<h2>The answer is 8.9 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  } \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-3, 2) and (1, -6)

The distance between them is

d =   \sqrt{ ({ - 3 - 1})^{2}  +  ({2 + 6})^{2} }   \\  =  \sqrt{ ({ - 4})^{2} +  {8}^{2}  }  \\  =  \sqrt{16 + 64}  \\  =  \sqrt{80}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  = 4 \sqrt{5}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  = 8.9442719...

We have the final answer as

8.9 units to the nearest tenth

Hope this helps you

You might be interested in
Please help.<br> Explain please.
Sunny_sXe [5.5K]
When n = 1, 2(1) + 1 = 3

When n = 2, 2(2) + 1 = 5

When n = 3, 2(3) + 1 = 7

When n = 4, 2(4) + 1 = 9

When n = 5, 2(5) + 1 = 11

Sum = 3 + 5 + 7 + 9 + 11 = 35

----------------------------------------------------
Answer: 35
----------------------------------------------------
4 0
3 years ago
Read 2 more answers
What is the first step for solving the inequality 3y+14=44
uranmaximum [27]
3y+14=44

Answer: First step is to subtract 14 from each side

3y = 30 (divide each side by 3)
y = 30/3, y = 10
7 0
3 years ago
A baseball is hit and its height is given by h = 29.4t – 4. 9t^2, where h is the
ioda

Answer:

44.1m

Step-by-step explanation:

we are given a quadratic function which represents the height and time of a baseball

\displaystyle h = 29.4t - 4.9 {t}^{2}

we want to figure out maximum height of

the baseball

since the given function is a quadratic function so we have a parabola

which means figuring out the maximum height is the same thing as figuring out the maximum y coordinate (vertex)

to do so we can use some special formulas

recall that,

\displaystyle \rm t= \frac{ - b}{  2a}

\displaystyle H_{\text{max}}=f(t)

notice that, our given function is not in standard form i.e

\displaystyle f(x) = a {x}^{2}  + bx + c

let's make it so

\displaystyle h =  - 4.9 {t}^{2}  + 29.4t

therefore we got

our <em>a</em> is -4.9 and <em>b </em>is 29.4

so substitute:

\displaystyle\rm t=  \frac{ -( 29.4)}{  2 \cdot - 4.9}

remove parentheses and change its sign:

\displaystyle\rm t=  \frac{ -29.4}{  2 \cdot - 4.9}

simplify multiplication:

\displaystyle\rm t=  \frac{ -29.4}{  - 9.8}

simplify division:

\displaystyle  \: t  = 3

so we have figured out the time when the baseball will reach the maximum height

now we have to figure out the height

to do so

substitute the got value of time to our given function

\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot {3}^2

simplify square:

\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot 9

simplify mutilation:

\displaystyle H_{\text{max}}=88.2-44.1

simplify substraction:

\displaystyle H_{\text{max}}=44.1

hence,

the maximum height of the baseball is 44.1 metres

4 0
3 years ago
Read 2 more answers
If you help me I will love you forever
joja [24]

Answer:

I think the answer would be 22.15 but I'm not really sure.

7 0
3 years ago
Read 2 more answers
If sin0= 2/5, find csc0.
aev [14]

Answer: D I think

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • a state park charges admission of $6 per person plus $3 for parking Joe said $27 when her car entered the park right in equation
    8·1 answer
  • Can a repeating decimal can be written as an integer?
    8·2 answers
  • Simplify -4 + (-3) + 6.<br><br> -1<br> 5<br> 13<br> 18
    13·2 answers
  • Please answer A B C or D:
    9·1 answer
  • Solve algebraically for x: 2(x – 4) 2 + 10 = 30
    11·1 answer
  • Find the measure of angle x. Round your answer to the nearest hundredth. (please type the numerical answer only) (6 points)
    7·1 answer
  • What is the median of the set of number 6, 8, 8, 8, 21, 11, 20, 18
    7·2 answers
  • Y 20 18 16 14 12 Total Cost ($) 10 000 2 3 1 2 Time (hours) 2. 3 4 6 8 y = IX +​
    9·1 answer
  • Find the perimeter. Simplify your answer.<br> SV<br> 101-5<br> 101-5<br> 5v
    15·1 answer
  • Help a brother out pls
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!