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spin [16.1K]
3 years ago
6

A cell phone company is looking to place a new tower to service 3 cities. In order for it to best service each city, it needs to

be equidistant from all 3 cities. What mathematical concept could they use to find a location that is equidistant from all 3 cities? Why is this a good method?
Mathematics
1 answer:
AlladinOne [14]3 years ago
3 0
A circle is a collection of points all of which are on the circumference of the circle.  If you use algebra and (x-h)^2 + (y-k)^2 = r^2 and the info contained in the coordinates (x,y) of each city, you can find h, k and r.  Then r is the (equal) distance between each city and the center of the circle, where the new tower will be built.

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The coordinates of the endpoint of QS are Q(-9,8) and S(9,-4). Point R is on cue as such that QR:RS Is in the ratio 1:2. What ar
marishachu [46]

R(–3, 4)

Step-by-step explanation:

Let Q(-9,8) and S(9,-4) be the given points and let R(x, y) divides QS in the ratio 1:2.

By section formula,

R(x, y)=R\left(\frac{m x_{2}+n x_{1}}{m+n}, \frac{m y_{2}+n y_{1}}{m+n}\right)

Here, x_{1}=-9, y_{1}=8, \text { and } x_{2}=9, y_{2}=-4 \text { and } m=1, n=2

Substituting this in the section formula

R(x, y)=R\left(\frac{1(9)+2(-9)}{1+2}, \frac{1(-4)+2(8)}{1+2}\right)  

To simplifying the expression, we get

\Rightarrow R(x, y)=R\left(\frac{9-18}{3}, \frac{-4+16}{3}\right)

\Rightarrow R(x, y)=R\left(\frac{-9}{3}, \frac{12}{3}\right)

⇒ R(x,y) = R(–3,4)  

Hence, the coordinates of point R is (–3, 4).

6 0
3 years ago
Someone, please help me with this question.
Viefleur [7K]

Answer:

C.  95°

Step-by-step explanation:

Sumplementary angles sum 180°

144° + a = 180°

a = 180° - 144°

a = 36°

121° + b = 180°

b = 180° - 121°

b = 59°

The sum of internal angles of a triangle is 180°

a + b + c = 180°

36° + 59° + c° = 180°

c° = 180° - (36°+59°)

c° = 180° - 95°

c° = 85°

then:

c + n = 180°

85° + n = 180°

n = 180° - 85°

n = 95°

5 0
3 years ago
Solve to find the value of x.
aleksley [76]
135
cross multiply 9*20 then divide by 8


5 0
3 years ago
Read 2 more answers
If x-5(x-7)=-7 then x equals what?
NeX [460]
Expand

simplify x - 5x + 35 to -4x + 35

subtract 35 from both sides

simplify -7 - 35 to -42

divide both sides by -4

two negatives make a positive

simplify 42/4 to 21/2

Answer: x = 21/2.
7 0
3 years ago
The average temperature on Enceladus is 75 K. Convert this to Fahrenheit and choose the closest answer.
Radda [10]
75 kelvin=-324.67 fahrenheight


8 0
3 years ago
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