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vladimir1956 [14]
2 years ago
9

Drag expressions to complete each equation.

Mathematics
2 answers:
Maru [420]2 years ago
7 0

Answer:

see explanation

Step-by-step explanation:

Using the rules of exponents

a^{b} × a^{c} = a^{b+c}

\frac{a^{b} }{a^{c} } = a^{b-c}

a^{c} × b^{c} = (ab)^{c}

Alisiya [41]2 years ago
5 0

hope this helps you

.....

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Answer:

(x-6)^2

Step-by-step explanation:

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2 years ago
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The base of a solid right pyramid is a regular hexagon with a radius of 2x units and an apothem of units. A solid right pyramid
Xelga [282]

Answer:

6 x^2*\sqrt{3}

Step-by-step explanation:

The base of the pyramid we need to study is a hexagon.

Let's look at the attached image of an hexagon to understand how we are going to find the area of this figure.

Notice that an hexagon is the combination of 6 exactly equal equilateral triangles in our case of size "2x" (notice that the "radius" of the hexagon is given as "2x")

Therefore the area of the hexagon is going to be 6 times the area of one of those equilateral triangles.

We know the area of a triangle is the product of its base times its height, divided by 2: \frac{base*height}{2} = \frac{2x*height}{2}

We notice that the triangle's height is exactly what is called the "apothem" of the hexagon (depicted in green in our figure) which measures x\sqrt{3}, so replacing this value in the formula above for the area of one of the triangles:

\frac{2x*height}{2}= \frac{2x*x\sqrt{3} }{2}=x^2\sqrt{3}

Then we multiply this area times 6 to get the total area of the hexagon (6 of these triangles):

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which is the last option given in the list.

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3 years ago
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A rectangular sheet of paper has a perimeter of 60cm. When it is folded in half along its longer line of symmetry, the perimeter
Liula [17]

Answer:

Dimensions of the original rectangle:

Length = 19 cm

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Step-by-step explanation:

Let

Length = x

Width = y

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2(Length + width) = 60

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New rectangle has same length with original rectangle but half of the width of the original rectangle when folded

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Width = 1/2y

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Subtract (2) from (1) to eliminate x

2y - y = 60 - 49

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Substitute y = 11 into (2)

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x = 38/2

x = 19

Dimensions of the original rectangle:

Length = 19 cm

Width = 11 cm

3 0
3 years ago
Asap help please on this question thanks
Rina8888 [55]
90-30=60 Hoped this helped
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3 years ago
A seventh-grade student forgets to bring his lunch money on several occasions. Each time he forgets his lunch money, he has to c
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Answer:

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