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2 years ago

The perimeter of the polygon above is

Mathematics

1 answer:

Alik [6]2 years ago

8 0

Answer:

30cm

Step-by-step explanation:

5+5+12+8

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Solve the equation 3^(2x) -4*3^(x+1) + 27 = 0. use rules of exponents to change 3^(x+1)

Leviafan [203]

Answer:

$\huge\boxed{x=1\ \vee\ x=2}$

Step-by-step explanation:

$3^{2x}-4\cdot3^{x+1}+27=0\\\\\text{use}\ (a^n)^m=a^{nm}\ \text{and}\ a^n\cdot a^m=a^{n+m}\\\\\left(3^x\right)^2-4\cdot3^x\cdot3^1+27=0\\\\\left(3^x\right)^2-12\cdot3^x+27=0\\\\\text{substitute}\ 3^x=t>0\\\\t^2-12t+27=0\\\\t^2-3t-9t+27=0\\\\t(t-3)-9(t-3)=0\\\\(t-3)(t-9)+0\iff t-3=0\ \vee\ t-9=0\\\\t-3=0\qquad\text{add 3 to both sides}\\\boxed{t=3}\\\\t-9=0\qquad\text{add 9 to both sides}\\\boxed{t=9}$

$\text{We return to substitution:}\\\\3^x=t\\\\3^x=3\ \vee\ 3^x=9\\\\3^x=3^1\ \vee\ 3^x=3^2\\\\\boxed{x=1}\ \vee\ \boxed{x=2}$

4 0

2 years ago

Is this a proportional relationship?

Vesna [10]

Answer: yes, because it is a straight line and is on the origin and goes through the origin so it is a proportional relationship

hoped this helped let me know if it did

7 0

3 years ago

6x^3+ 10x^2 – 4x - I need help with this question

Westkost [7]

Answer: 2x(3x−1)(x+2)

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

23mm,20mm,13mm sides and 62,72,46, angle what type of triangle is that

Readme [11.4K]

23 mm, 20mm, 13mm sides: No equal sides and No equal angles are characteristics of a Scalene Triangle.

62,72,46 angles : All angles are less than 90°, this means that the triangle is an acute triangle.

Based on the above information the triangle is an ACUTE SCALENE TRIANGLE.

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2 years ago

What is the midline of the function? A. Y=0 B. Y=2 C. Y=1 D. Y=4pi

navik [9.2K]

Answer:

Step-by-step explanation:

The trig equation

$a \sin(bx) + d$

where d represent the midline.

D is represented by positive 1 so y=1 is the midline.

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2 years ago