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777dan777 [17]
4 years ago
5

Annnnnnssssswerrrrr pleaseeeee

Mathematics
1 answer:
Sedbober [7]4 years ago
3 0
The answer is -6.

Substitute -1 for x in the function.
12/4(-1) +2
12/-4+2
12/-2
-6
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x = 3.6

Step-by-step explanation:

By the Postulate of intersecting chords inside a circle.

x \times 5 = 3 \times 6 \\ 5x = 18 \\ x =  \frac{18}{5}  \\ x = 3.6 \\

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3 years ago
Two sisters like to compete on their bike rides. Tamara can go 4 mph faster than her sister, Samantha. If it takes Samantha 1 ho
Triss [41]

Answer:

16 mph

Step-by-step explanation:

You should first form equations related to this information

Given,Tamara can go 4 mph faster than her sister, Samantha

Lets take speed to ride a bike for Samantha to be=  x mph

The speed to ride a bike for Tamara will be= x+4 mph

To cover a distance of 80 miles, Samantha takes 1 hour longer than Tamara

Introduce the formula for time; time=distance/speed=D/S where D is distance in miles and S is speed in miles per hour

Here time Samantha takes to cover a distance of 80 miles is 1 hour more than that taken by Tamara, hence

<u>Time taken by Samantha</u>

=\frac{80}{x}

<u>Time taken by Tamara</u>

=\frac{80}{4+x}

<u>Equation for difference in time</u>

=\frac{80}{x} -\frac{80}{4+x} =1

Solve the equation for difference in time to get value of x which is samantha speed

=\frac{80}{x} -\frac{80}{x+4} =1\\\\\\=80(4+x)-80(x)=x(4+x)\\\\\\=320+80x-80x=4x+x^2\\\\\\=x^2+4x-320=0

Solve quadratic equation by the quadratic formula where a=1,b=4 and c=-320

x=(-b±√b²-4ac)÷2a

x=(-4±√4²-4×1×-320)÷2×1

x=\frac{-4+/-\sqrt{4^2-4*1*-320} }{2} \\\\\\x=(-4+/-\sqrt{1296} )/2\\\\\\x=\frac{-4+36}{2} =\frac{32}{2} =16

Samantha speed is 16 mph

6 0
3 years ago
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