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
alukav5142 [94]
4 years ago
13

What is the distance between P(-4,3) and Q(6,1)? Round to the nearest tenth.

Mathematics
1 answer:
dimulka [17.4K]4 years ago
4 0

Answer:

The answer is

<h2>10.2 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

P(-4,3) and Q(6,1)

The distance between them is

|PQ|  =  \sqrt{ ({ - 4 - 6})^{2} +  ({3 - 1})^{2}  }  \\  =  \sqrt{ ({ - 10})^{2} +  {2}^{2}  }  \\  =  \sqrt{100 + 4}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  =  \sqrt{104}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  = 2 \sqrt{26}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \\  = 10.1980390271

We have the final answer as

<h3>10.2 units to the nearest tenth</h3>

Hope this helps you

You might be interested in
Explain why (–4x)0 = 1, but –4x0 = –4.
hodyreva [135]
Any number raised to power of 0 is 1.
In (-4x)^0, because of the parenthesis, the whole number is being raided to 0, which gives 1.
But in -4x^0, only x is being raised to 0, thus -4x^0 = -4(1) = -4.
5 0
3 years ago
Consider the region bounded by the curves y=|x^2+x-12|,x=-5,and x=5 and the x-axis
Tasya [4]
Ooh, fun

what I would do is to make it a piecewise function where the absolute value becomse 0

because if you graphed y=x^2+x-12, some part of the garph would be under the line
with y=|x^2+x-12|, that part under the line is flipped up

so we need to find that flipping point which is at y=0
solve x^2+x-12=0
(x-3)(x+4)=0
at x=-4 and x=3 are the flipping points

we have 2 functions, the regular and flipped one
the regular, we will call f(x), it is f(x)=x^2+x-12
the flipped one, we call g(x), it is g(x)=-(x^2+x-12) or -x^2-x+12
so we do the integeral of f(x) from x=5 to x=-4, plus the integral of g(x) from x=-4 to x=3, plus the integral of f(x) from x=3 to x=5


A.
\int\limits^{-5}_{-4} {x^2+x-12} \, dx + \int\limits^{-4}_3 {-x^2-x+12} \, dx + \int\limits^3_5 {x^2+x-12} \, dx

B.
sepearte the integrals
\int\limits^{-5}_{-4} {x^2+x-12} \, dx = [\frac{x^3}{3}+\frac{x^2}{2}-12x]^{-5}_{-4}=(\frac{-125}{3}+\frac{25}{2}+60)-(\frac{64}{3}+8+48)=\frac{23}{6}

next one
\int\limits^{-4}_3 {-x^2-x+12} \, dx=-1[\frac{x^3}{3}+\frac{x^2}{2}-12x]^{-4}_{3}=-1((-64/3)+8+48)-(9+(9/2)-36))=\frac{343}{6}

the last one you can do yourself, it is \frac{50}{3}
the sum is \frac{23}{6}+\frac{343}{6}+\frac{50}{3}=\frac{233}{3}


so the area under the curve is \frac{233}{3}
6 0
3 years ago
If a line contains the point (0, -1) and has a slope of 2, then which of the following points also lies on the line?
alexgriva [62]

Answer:

b

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Given the function f(x) = √x-8 + 3 which of the following is the value of f(24)
kvasek [131]

Answer:

The answer is 7.

Step-by-step explanation:

You have to substitute the value of x into the function :

f(x) =  \sqrt{x - 8}  + 3

f(24) =  \sqrt{24 - 8}  + 3

f(24) =  \sqrt{16}  + 3

f(24) = 4 + 3

f(24) = 7

6 0
3 years ago
Solve each multi-step equation. Show your work. A - 2 + 3 = -2
Alex17521 [72]

Answer:

a is -3

Step-by-step explanation:

negative 3 minus 2 is negative 5 plus 3 is negative 2

8 0
3 years ago
Other questions:
  • The Venn diagram displays the number of employees at United Accounting Firm, in hundreds, who travel to work by a given method a
    12·1 answer
  • Someone help me!! Pls
    8·1 answer
  • You put $800 in a savings account. The account earns 4% simple interest per year.
    6·1 answer
  • All of the students in Ms. Osbourne's class like pizza. Jeff is a student who likes pizza. Therefore, Jeff is a student in Ms. O
    15·1 answer
  • Khan academy plz help do not understand best answer will get brainliest
    7·1 answer
  • Roy bought running shoes for $44.98. If the sales tax is 7%, how much did he pay in total?
    15·1 answer
  • How can you make this into a fraction 0.82
    15·2 answers
  • Melina's Girl Scout troop of 12 members takes a trip to the local bowling alley. Each girl pays a lane fee at the bowling alley
    10·1 answer
  • 3x-4y=6 converted to slope intercept form
    6·1 answer
  • The mapping diagram shows a relation. A mapping diagram shows a relation, using arrows, between inputs and outputs for the follo
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!