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Mekhanik [1.2K]
2 years ago
13

Si un rombo tiene un lado con medida de 16 pulgadas. Cual es su perimetro . If a rhombus has a side measured 16 inches. What is

its perimeter.
Mathematics
1 answer:
kap26 [50]2 years ago
6 0

Answer:

64 inches or 64 pulgadas

Step-by-step explanation:

The formula for the perimeter of a rhombus is given as:

P = 4a

Where a = side length of the rhombus

From the above question, side length of the rhombus = 16 inches

Hence, Perimeter of the rhombus = 4 × 16 inches

= 64 inches

La fórmula para el perímetro de un rombo se da como:

P = 4a

Donde a = longitud del lado del rombo

De la pregunta anterior, la longitud del lado del rombo = 16 pulgadas

Por lo tanto, perímetro del rombo = 4 × 16 pulgadas

= 64 pulgadas

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Compared to the graph of f(x)=x^2, the graph of g(x)=2x^2-5 is _____?
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Step-by-step explanation:

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A linear function and an exponential function are graphed below. Find possible formulas for the functions f(t), in blue, and g(t
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Answer:

f(t) = -t + 21

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Step-by-step explanation:

Given:

- The graphs for the similar question is attached.

- The same graph would be used as reference but with different coordinates for point of intersection of f(t) and g(t) @ ( 3 , 18 ) & ( 15 , 6 ).

Find:

- The formulas for functions f(t) and g(t).

Solution:

- First we will determine f(t) the blue graph which is a "linear" function. The general equation for the linear function is given as:

                                    f(t) = m*t + c

Where, m: is the gradient  ( constant )

            c: The f(t) intercept. ( constant )

- The gradient m can be determined by the given points that lie on the graph:

                         m = ( f(t2) - f(t1) ) / ( t2 - t1 )

                         m = ( 6 - 18 ) / ( 15 - 3 )

                         m = -12 / 12 = -1

- The constant c can be evaluated by using any one point and m substituted back into the linear expression as follows:

                          f(t) = -t + c

                          18 = -(3) + c

                           c = 21

- The function f(t) is as follows:

                            f(t) = -t + 21

- The general expression for an exponential function can be written as:

                           g(t) = a*e^(b*t)

Where, a and b are constants to be evaluated.

- We will develop two expressions for g(t) using two given points that lie on the curve as follows:

                           18 = a*e^(3*b)

                           6 = a*e^(15*b)

- Divide the two expressions we have:

                           3 = e^( 3b - 15b )

                           Ln(3) = -12*b

                           b = - Ln(3) / 12

- Then the expression 1 becomes:

                          18 = a*e^( - Ln(3)*3 / 12)

                          18 = 3*a*e^(-1/4)

                           6 = a / e^(0.25)

                           a = 6*e^( 1 / 4 )

- The function g(t) can be expressed as:

                          g(t) = 18*e^( - t / 12 + 1/4 )

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The statement that is definitely true about x = 2 is Both a(x) and b(x) have the same output value at x = 2.

<h3>How to find the statement that is true about the functions a(x) = b(x) at x = 2?</h3>

If we have two functions a(x) and b(x), a statement is made that a(x) = b(x) at x = a, this implies that the values of the functions a(x) and b(x) are equal at x = a.

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