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3 years ago

3a^4(2b^6c^3)^2 Can someone help me simplify this?

Mathematics

1 answer:

Grace [21]3 years ago

7 0

First you do 3a^4(2b^6c^3)^2
=12a^4b^12c^6

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36 unit squares are joined to form a rectangle with the least perimeter. Perimeter of the rectangle is

Vladimir79 [104]

Answer:

Option (b) is correct.

Area of rectangle is 36 units

We have,

⇒36=6×6

=2×3×3×2

=4×9

Hence, the sides of a rectangle are 4cm and 9cm

Perimeter =2(l+b)

=2(4+9)

=13×2

=26units

5 0

3 years ago

X^2+36y^2. What is answer

const2013 [10]

The answer is already in its simplest form. You can not add the two because the have different variables. Hope this helps ;)))

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3 years ago

Mixed number as a percent I'm so dumb

Maurinko [17]

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4 years ago

A reflecting pool is shaped like a right triangle with one leg along the wall of a building. the hypotenuse is 9 feet longer tha

morpeh [17]

Answer:

Leg side along the wall = x ft = 8 ft

The other leg side = 7+x ft = 7+8=15 ft

The Hypotenuse =9+x ft = 9+8 = 17 ft

Step-by-step explanation:

In the question, the shape of the pool is right triangle.

Let the leg side along the wall to be the x ft

Let the other leg side to be 7+x ft

Let the longest side/hypotenuse to be x+9 ft

Apply the Pythagorean relationship where the sum of squares of the legs equals the square of the hypotenuse

This means;

$x^2 +(x+7)^2=(x+9)^2\\\\$

Expand the terms in brackets

$x^2+(x+7)^2=(x+9)^2\\\\\\x^2+x^2+14x+49=x^2+18x+81$

collect like terms

$x^2+x^2-x^2=18x-14x+81-49\\\\\\x^2=4x+32\\\\\\x^2-4x-32=0$

solve for x in the quadratic equation by factorization

$x^2-4x-32=0\\\\\\x^2-8x+4x-32=0\\\\\\x(x-8)+4(x-8)=0\\\\\\(x+4)(x-8)=0\\\\\\x+4=0,x=-4\\\\x-8=0,x=8$

Taking the positive value of x;

x=8ft

Finding the lengths

Leg side along the wall = x ft = 8 ft

The other leg side = 7+x ft = 7+8=15 ft

The Hypotenuse =9+x ft = 9+8 = 17 ft

6 0

3 years ago

18) 46° 47° ? A) 89° C) 159° B) 87° D) 97°

kvv77 [185]

Answer:

89 159 87 23=165237890

5 0

3 years ago