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
hjlf
4 years ago
9

Calvin's school is 2.3 miles directly south of his house. After school, he takes a bus 1.8 miles directly west to the sports com

plex.
What is the length of a straight line
between Calvin's house and the sports
complex? Round to the nearest tenth.

Mathematics
1 answer:
VladimirAG [237]4 years ago
3 0

Answer:

2.9 miles

Step-by-step explanation:

If you draw this as a diagram, you will see that it is a right angled triangle and the missing side is the hypotenuse (the longest side). To calculate this, you will need to use the right angle law:

a^{2} + b^{2} = c^{2}

check out the document below (sorry, it's a little bit blurry)

You might be interested in
Find the taylor series for f(x) centered at the given value of a. [assume that f has a power series expansion. do not show that
Bond [772]

Taylor series is f(x) = ln2 + \sum_{n=1)^{\infty}(-1)^{n-1} \frac{(n-1)!}{n!(9)^{n}(x9)^{2}  }

To find the Taylor series for f(x) = ln(x) centering at 9, we need to observe the pattern for the first four derivatives of f(x). From there, we can create a general equation for f(n). Starting with f(x), we have

f(x) = ln(x)

f^{1}(x)= \frac{1}{x} \\f^{2}(x)= -\frac{1}{x^{2} }\\f^{3}(x)= -\frac{2}{x^{3} }\\f^{4}(x)= \frac{-6}{x^{4} }

.

.

.

Since we need to have it centered at 9, we must take the value of f(9), and so on.

f(9) = ln(9)

f^{1}(9)= \frac{1}{9} \\f^{2}(9)= -\frac{1}{9^{2} }\\f^{3}(x)= -\frac{1(2)}{9^{3} }\\f^{4}(x)= \frac{-1(2)(3)}{9^{4} }

.

.

.

Following the pattern, we can see that for f^{n}(x),

f^{n}(x)=(-1)^{n-1}\frac{1.2.3.4.5...........(n-1)}{9^{n} }  \\f^{n}(x)=(-1)^{n-1}\frac{(n-1)!}{9^{n}}

This applies for n ≥ 1, Expressing f(x) in summation, we have

\sum_{n=0}^{\infinite} \frac{f^{n}(9) }{n!} (x-9)^{2}

Combining ln2 with the rest of series, we have

f(x) = ln2 + \sum_{n=1)^{\infty}(-1)^{n-1} \frac{(n-1)!}{n!(9)^{n}(x9)^{2}  }

Taylor series is f(x) = ln2 + \sum_{n=1)^{\infty}(-1)^{n-1} \frac{(n-1)!}{n!(9)^{n}(x9)^{2}  }

Find out more information about taylor series here

brainly.com/question/13057266

#SPJ4

3 0
2 years ago
Solve 5x^2+2x=1 using either factoring, square root method, completing the square or quadratic formula.
wolverine [178]

Answer:

x = -1 ± √6 / 5

Step-by-step explanation:

Solve 5x^{2} + 2x = 1

move 1 to the left side of the equation by subtracting it from both sides.

5x^{2} + 2x - 1 = 0

Use the quadratic formula to find the solutions.

-b± \sqrt{b^2 - 4 (ac)}/ 2a

Substitute the values a = 5 , b = 2, and c = -1 into the quadratic formula and solve for x

-2±\sqrt{2^2 - 4(5 - 1)}/ 2 ⋅ 5

Simplify.

x = -2 ± 2 \sqrt{6}/ 10

x = -1 ± \sqrt{6}/ 5

Exact Form:

x = -1 ± \sqrt{6}/ 5

4 0
3 years ago
What does a cluster tell you about the data on a scatter plot?
slava [35]
It can tell you the general pattern or that it is far from the other points in scatter plot.
5 0
3 years ago
Read 2 more answers
Which relation is a function?
puteri [66]

let's recall the vertical line test, if a vertical line hits the graph or points twice, then is NOT a function.  Check the picture below.

6 0
1 year ago
Read 2 more answers
here is a list of numbers: 12, 13, 19, 16 ,32, 15, 13.a)work out the range of the numbers in the list.b)work out the mean of the
ratelena [41]

Answer: Mean: 17.14                                                                                           Range: 20.

Step-by-step explanation: 12+13+13+15+16+19+32                             25+13+15+16+19+32                                                                                             38+15+16+19+32                                                                                               53+16+19+32                                                                                                         69+19+32                                                                                                               88+32                                                                                                                     120/7                                                                                                                     17.14                                                                                                                                                    

32-12                                                                                                                       20

6 0
3 years ago
Other questions:
  • Use transformations to solve the equation.<br><br><br><br> e – 14.4 = –20.8
    6·1 answer
  • What is 138÷12 to the nearest cent
    7·2 answers
  • Geomeyry question 19
    13·1 answer
  • Find the slope of the line
    12·2 answers
  • Plss help i need help i beg you!!!!
    9·1 answer
  • What is the intersection of y=-x+8
    10·2 answers
  • The following relation is a function:
    10·1 answer
  • If f(x) = 2x - 1 and g(x) = x^2 - 3x - 2, find (f + g)(x).​
    14·1 answer
  • Pls help me <br><img src="https://tex.z-dn.net/?f=49%20%3D%20%20%7Bx%7D%5E%7B2%7D%20" id="TexFormula1" title="49 = {x}^{2} " al
    8·2 answers
  • What is the radius of a circle with a Circumference of 64 pi yards?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!