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3 years ago

(GEMOETRY) What is the perimeter of Green Island?

Mathematics

1 answer:

Leno4ka [110]3 years ago

5 0

Answer:The Perimeter of Green Island is 1.6 km.

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Use f(x) = 1 2 x and f -1(x) = 2x to solve the problems.

AVprozaik [17]

Answer:

The answer to your question is below

Step-by-step explanation:

Functions

f(x) = 12x f⁻¹(x) = 2x

a) f⁻¹(-2) = 2(-2)

f⁻¹(-2) = -4

b) f(-4) = 12x

f(-4) = 12(-4)

f(-4) = -48

c) f(f⁻¹(-2)) =

f(f⁻¹(x)) = 12(2x) = 24x

f(f⁻¹(-2)) = 24(-2) = -48

I think your functions are wrong they must be f(x) = 1/2x f⁻¹(x) = 2x

a) f⁻¹(-2) = 2(-2)

= -4

b) f(-4) = 1/2(-4)

= -2

c) f(f⁻¹(x)) = 1/2(2x)

= x

f(f⁻¹(-2)) = -2

4 0

3 years ago

Can someone help me please????

Ilia_Sergeevich [38]

Answer:

Step-by-step explanation:

trapezium area

A=a+b/2(h)

Whole: A=8+10/2(6)

A=54 cm

Hole: 5+7/2(3)

a=18

54cm-18cm= 36

area of shaded region is 36cm.

6 0

3 years ago

Write the number and the nature of the roots of the quadratic equation whose discriminant is -12

Orlov [11]

Hello
D. 2 imaginary roots (complex conjugates)

7 0

3 years ago

Help! I have looked at so many lessons on writing exponential functions from a graph and nothing has helped.

Over [174]

Answer:

y = $8(-\frac{1}{2})^x$

Step-by-step explanation:

Let the equation of the exponential function is,

y = a(b)ˣ

Since the graph of this function passes through two points $(4, \frac{1}{2})$ and (3, -1)

For the point $(4, \frac{1}{2})$ ,

$\frac{1}{2}=a(b)^4$ ---------(1)

For second point (3, -1),

-1 = a(b)³ ---------(2)

Divide equation (2) by equation (1),

$\frac{\frac{1}{2}}{-1}$ = $\frac{a(b)^4}{a(b)^3}$

$-\frac{1}{2}=b^{(4-3)}$

$-\frac{1}{2}=b$

From equation (2)

-1 = $a(-\frac{1}{2})^3$

-1 = $-\frac{1}{8}a$

a = 8

Therefore, equation of the exponential function will be,

y = $8(-\frac{1}{2})^x$

4 0

3 years ago

write an equation for the line that passes through the given point and has the given slope m (4,-5);m= -1/4

EastWind [94]

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Answer: $\textsf{y = -1/4x - 4}$

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Given: $\textsf{Slope = -1/4, Point through = (4, -5)}$

Find: $\textsf{Equation for the line that passes through the given point}$

Solution: In order to get the equation, we need to first use the point-slope form to help us sort out our information and then we solve for y.

Plug in the values

$\textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}$

$\textsf{y - (-5) = -1/4(x - 4)}$

Simplify and solve for y

$\textsf{y + 5 = -1/4(x - 4)}$

$\textsf{y + 5 = -1/4x + 1}$

$\textsf{y + 5 - 5 = -1/4x + 1 - 5}$

$\textsf{y = -1/4x - 4}$

Therefore, the final answer would be that the equation that has a slope of -1/4 and passes through (4, -5) is y = -1/4x - 4.

5 0

2 years ago