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3 years ago

14. Two cars are traveling on two different roads that are perpendicular to each other. On a coordinate

Mathematics

1 answer:

Klio2033 [76]3 years ago

3 0

Answer:

-68/7

Step-by-step explanation:

slope1 of Car 1 that pass (-5,-8) (2,7)

= (y1-y2)/(x1-x2)=(2-(-5))/(7-(-8))=7/15

Slope2 of car 2 that pass (5,1) (10,y)

slope 1 and slope2 are perpendicular =>slope 2 =-15/7

make slope2 y=(-15/7)x+b

for it pass(5,1) => 1=(-15/7)5+b =>b=82/7 => y=(-15/7)x+82/7

put (10,y) in => y=(-15/7) 10+82/7=-68/7

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Three cell phones towers can be modeled by the points X(6,0), Y(8,4), and Z(3,9). Determine the location of another cell phone t

Marat540 [252]

Answer:

The location of the new cell phone tower is $(h,k) = (3,4)$ , and the equation of the circle is $x^{2}+y^{2} -6\cdot x - 8\cdot y = 0$ .

Step-by-step explanation:

The location of the cell phone tower coincides with the location of a circunference passing through the three cell phone towers. By Analytical Geometry, the equation of the circle is represented by the following general formula:

$x^{2} + y^{2}+A\cdot x + B\cdot y +C = 0$ (1)

Where:

$x$ - Independent variable.

$y$ - Dependent variable.

$A$ , $B$ , $C$ - Circunference constants.

Given the number of variable, we need the location of three distinct points:

$(x_{1},y_{1}) = (6,0)$

$36 +6\cdot A + C = 0$

$(x_{2},y_{2}) = (8,4)$

$80 + 8\cdot A + 4\cdot B + C = 0$

$(x_{3},y_{3}) = (3,9)$

$90 + 3\cdot A + 9\cdot B + C = 0$

Then, we have the following system of linear equations:

$6\cdot A + C = -36$ (2)

$8\cdot A +4\cdot B + C = -80$ (3)

$3\cdot A + 9\cdot B + C = -90$ (4)

The solution of this system is:

$A = -6$ , $B = -8$ , $C = 0$

By comparing the general form with the standard form of the equation of the circunference is:

$A = -2\cdot h$ (5)

$B = -2\cdot k$ (6)

$C = h^{2}+k^{2}-r^{2}$ (7)

Where:

$h$ , $k$ - Coordinates of the center of the circle.

$r$ - Radius of the circle.

If we know that $A = -6$ , $B = -8$ and $C = 0$ , then coordinates of the center of the circle and its radius are, respectively:

$h = -\frac{A}{2}$

$k = -\frac{B}{2}$

$r = \sqrt{h^{2}+k^{2}-C}$

$h = 3$ , $k = 4$ , $r = 5$

The location of the new cell phone tower is $(h,k) = (3,4)$ , and the equation of the circle is $x^{2}+y^{2} -6\cdot x - 8\cdot y = 0$ .

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2 years ago

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Murrr4er [49]

Answer:

A. and C.

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2 years ago

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ipn [44]

Answer:

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Step-by-step explanation:

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3 years ago

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1kg= 2.2 pounds Change 44 pounds in kg

Lyrx [107]

Answer:
44 pounds = 20 kg

Explanation:
We are given that:
1 kg = 2.2 pounds

To convert 44 pounds into kg, all we have to do is cross multiplication as follows:
1 kg .................> 2.2 pounds
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Hope this helps :)

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Zolol [24]

The answer is 26 hope that helped

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