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3 years ago

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How do you solve this equation:

\frac{(2a-2b)^2}{a-b}" alt="\frac{(2a-2b)^2}{a-b}" align="absmiddle" class="latex-formula">

1 answer:

luda_lava [24]3 years ago

5 0

Answer:

4a-4b

Step-by-step explanation:

In the numerator, we can simplify this: (2a-2b)^2 = ((2)(a-b))^2 = (2)^2(a-b)^2 = 4(a-b)^2 = 4 (a-b)(a-b). Thus, we get: (4(a-b)(a-b))/(a-b). We can cancel the top and bottom with a-b and get: 4(a-b) = 4a-4b.

I hope this helps!

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Distance on graph

Mnenie [13.5K]

The graph can be divided into two shapes. A rectangle and a right triangle.

The distance that the rover will cover if it completes one circuit can be computed using the Pythagorean theorem and adding the sides of the rectangle.

Rectangle:
Width = 4 - 2 = 2 meters
Length = 11 - 2 = 9 meters

Triangle = 16 - 2 = 14 ; 14 - 2 = 12 meters (this is the short leg)
long leg of the triangle = length of the rectangle = 9 meters.

12² + 9² = c²
144 + 81 = c²
225 = c²
√225 = √c²
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Point A to B = 4 - 2 = 2 meters
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3 years ago

A useful rule of thumb called the "rule of 70" states that if something grows at a constant rate of z percent per year, it doubl

vesna_86 [32]

<span>The answer is b. (70/z). If I put $100 into a savings account and the annual growth rate is 10%, the 70/10%= 7 years that the initial $100 would take to double.</span>

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4 years ago

9. The ticket at right has a perimeter of 42 cm.

Liula [17]

Perimeter simply represents the sum of all side lengths of a shape. The length of the missing side of the ticket is 5 cm; the length of gold line on each ticket is 20 cm, and 2 bottles of gold ink are required to draw gold lines on 200 tickets.

I've added the image of the ticket as an attachment.

(a) The missing side length

From the attachment, the 4 unknown side lengths are equal. Represent this side length with L.

So, we have:

$Perimeter =2\times 11 + 4 \times L$

This gives

$2\times11 + 4 \times L = 42$

$22 + 4 \times L = 42$

Collect like terms

$4 \times L = 42-22$

$4 \times L = 20$

Divide both sides by 4

$L =5cm$

(b) The length of the gold lines

There are 4 slant lines and the length of one of the slant lines is 5 cm (as calculated above).

So, the length of the gold line is:

$Gold = 4 \times L$

$Gold = 4 \times 5cm$

$Gold = 20cm$

(c) The number of gold ink bottles.

$n = 200$ --- number of tickets

The length of all gold line in the 200 tickets is:

$Length = 200 \times Gold$

$Length = 200 \times 20cm$

$Length = 4000 cm$

$Length = 4000 \times 0.01m$ ---- convert to meters

$Length = 40m$

Given that:

$Bottle = 20m$ --- 1 bottle for 20 m

The number of bottles (n) is:

$n = \frac{Length}{Bottles}$

$n = \frac{40m}{20m}$

$n = 2$

Hence, 2 bottles of gold ink are enough.

Read more about perimeters at:

brainly.com/question/6465134

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3 years ago

What’s the property of a + 0 = a

jek_recluse [69]

Answer:Identity property

Step-by-step explanation:

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3 years ago

Read 2 more answers

Compare square root of one hundred eighty and one hundred two eighths using <, >, or =.

olga2289 [7]

Converting the mixed number to a decimal, the correct comparison of the numbers is given as follows:

$\sqrt{180} > \sqrt{100 \frac{2}{8}}$

<h3>What is a mixed number?</h3>

A mixed number is represented by an integer part and a fractional part, as follows:

a b/c.

In which:

a is the integer part.

b/c is the fractional part.

In this problem, the numbers are given as follows:

$\sqrt{180}, \sqrt{100 \frac{2}{8}}$

The mixed number is:

100 and 2/8 = 100 + 0.25 = 100.25.

The square root is an increasing function, hence the higher the input, the higher the square root, as 180 > 100 the comparison is:

$\sqrt{180} > \sqrt{100 \frac{2}{8}}$

More can be learned about mixed numbers at brainly.com/question/1746829

#SPJ1

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2 years ago