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3 years ago

10

What is the common ratio of the geometric sequence: -1/12.-1/2,-3,18,...

1 answer:

Minchanka [31]3 years ago

8 0

$\frac{1}{6}$ : Common ratio

Check:
= $-\frac{1}{12}$ ÷ $\frac{1}{6}$
= $-\frac{1}{12}$ × 6
= $-\frac{1}{2}$

= $-\frac{1}{2}$ ÷ $\frac{1}{6}$
= $- \frac{1}{2}$ × 6
=-3

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hammer [34]

Answer:

A. The lines stay parallel

Step-by-step explanation:

Rigid transformations do not change angle or line relationships. When the parallel lines are rotated they stay parallel. Reflecting them will keep them parallel. If this were not true, then figured with parallel lines like rectangles and squares would change shape when reflected.

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(x - 4/6) = (x + 2/12) what is x please show your work.

Sergio039 [100]

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harkovskaia [24]

Answer:

60%

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3 years ago

The perimeter of a rectangle is 108 inches. the rectangle is 34 inches long. how wide is it?

mixer [17]

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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

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3 years ago