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3 years ago

Can the sides of a triangle have lengths 2, 5, and 16? Yes or No

Mathematics

1 answer:

Musya8 [376]3 years ago

7 0

Answer:

No.

Step-by-step explanation:

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side. In your case, 2 plus 5 is 7, which is less than 16, thus making it impossible for those side lengths to form a triangle.

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Which of the following is the function representing the graph below? graph begins in the second quadrant near the x axis and inc

Vadim26 [7]

Your description corresponds to an exponential function.

So it is of the kind f(x) = A (e^kx)

Given that the pair (0,1) is in the graph, you can determine that A = 1:

1 = A (e ^ k*0)

=> 1 = A e^0

=> 1 = A

So, the function is of the kind f(x) = e^ (kx).

Where x is any positive value.

With that you can choose the right answer among your options.

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3 years ago

Describe how to solve any equation in the form ax + b = c for the variable x.

IRINA_888 [86]

Subtract b from both sides: ax=c-b

Divide both sides by a: x=(c-b)/a

Hope this helped

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3 years ago

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Your $440 gets 5.8% compounded annually for 8 years. What will your $440.00 be worth in<br> 8 years?

MArishka [77]

Answer:

400.00

Step-by-step explanation:

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3 years ago

Haley's car gets at least 18 miles per gallon. She is planning a trip that is 200 miles.

maxonik [38]

Answer:

$11\ gallons$

Step-by-step explanation:

we know that

Haley's car gets at least $18$ miles per gallon

by proportion

Find the minimum number of gallons she'll need for a trip that is $200$ miles

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3 years ago

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100 points!!! Pre calculus. I need helpppppppppp

Fantom [35]

Answer:

We have function,

$y = 3 - 6 \sin {}^{} (2x + \frac{\pi}{2} )$

Standard Form of Sinusoid is

$y = - 6 \sin(2x + \frac{\pi}{2} ) + 3$

Which corresponds to

$y = a \sin(b(x + c)) + d$

where a is the amplitude

2pi/b is the period

c is phase shift

d is vertical shift or midline.

In the equation equation, we must factor out 2 so we get

$y = - 6(2(x + \frac{\pi}{4} )) + 3$

Also remeber a and b is always positive

So now let answer the questions.

a. The period is

$\frac{2\pi}{ |b| }$

$\frac{2\pi}{ |2| } = \pi$

So the period is pi radians.

b. Amplitude is

$| - 6| = 6$

Amplitude is 6.

c. Domain of a sinusoid is all reals. Here that stays the same. Range of a sinusoid is [-a+c, a-c]. Put the least number first, and the greatest next.

So using that<em> rule, our range is [6+3, -6+3]= [9,-3] So our range</em> is [-3,9].

D. Plug in 0 for x.

$3 - 6 \sin((2(0) + \frac{\pi}{2} )$