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Luda [366]
4 years ago
8

Two joggers run 8 miles north and then 5 miles west. What is the shortest distance they must travel to return to their starting

point?
Mathematics
1 answer:
elena-14-01-66 [18.8K]4 years ago
7 0
Imagine the paths as a right triangle with one leg measuring 8 miles and the other 5. You need to find the hypotenuse using the pythagorean theorem, so take 8 squared + 5 squared equals x squared, which gives you 64+25=89, then find the square root of 89 which is 9.433981132
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The ranger of the function x2+2x-8is allá
allsm [11]

Answer:

\mathrm{Range\:of\:}x^2+2x-8:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:-9\:\\ \:\mathrm{Interval\:Notation:}&\:[-9,\:\infty \:)\end{bmatrix}

Step-by-step explanation:

As the function is

x^{2} +2x-8

As we know that domain is the set of input values for which the function is defined.

Therefore,

\mathrm{Domain\:of\:}\:x^2+2x-8\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:

And range is defined as:

The set of the dependent variable for which the function is defined.

As

\mathrm{For\:a\:parabola}\:ax^2+bx+c\:\mathrm{with\:Vertex}\:\left(x_v,\:y_v\right)

\mathrm{If}\:a

\mathrm{If}\:a>0\:\mathrm{the\:range\:is}\:f\left(x\right)\ge \:y_v

a=1,\:\mathrm{Vertex}\:\left(x_v,\:y_v\right)=\left(-1,\:-9\right)

f\left(x\right)\ge \:-9

Therefore,

\mathrm{Range\:of\:}x^2+2x-8:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:-9\:\\ \:\mathrm{Interval\:Notation:}&\:[-9,\:\infty \:)\end{bmatrix}

The graph is also attached below.

Keywords: graph, domain, range

Learn more about domain and range from brainly.com/question/13856645

#learnwithBrainly

8 0
3 years ago
Answer for <br> 5.3 (2×+5)=
den301095 [7]

Answer:

10.6

x

+

26.5

Step-by-step explanation:

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3 years ago
Joe can run twice as fast as Pete. They start at the same point and run in opposite directions for 40 minutes. The distance betw
Vesnalui [34]

I don't know you nswer po

3 0
3 years ago
Which net represents this rectangular prism?
VashaNatasha [74]
When a solid figure is unfolded along its edges and its faces are laid out in two dimensions in a pattern, the net of a solid figure is formed. Rectangular networks of prisms are constructed of rectangles and squares.
6 0
3 years ago
Y = 2(x – 3)2 - 4<br> Convert to standard form
Artist 52 [7]

Answer:

4x - y = 16

Step-by-step explanation:

y = 2(x – 3)2 - 4

When written in standard form, this will be the answer --->

4x - y = 16

3 0
3 years ago
Read 2 more answers
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