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Vsevolod [243]
3 years ago
13

What is the product?

Mathematics
1 answer:
Leviafan [203]3 years ago
8 0

Answer:

-30a⁵b + 12a⁴b² + 16a³b² - 4a²b⁴ - 2ab³

Step-by-step explanation:

( - 6a³b + 2ab²)( 5a² - 2ab² b)

multiply the second parantheses by each term from the first parantheses.

-6a³b×(5a²- 2ab²b -b)+2ab×(5a² -2ab²b-b)

-6a³b× (5a² - 2ab² b) +2ab × (5a² - 2ab² b)

-30 a⁵b + 12a⁴b² + 6a³b²+ 10a³b² - 4a²b⁴ - 2ab

combine like terms

-30a⁵b + 12a⁴b² + 16a³b² - 4a²b⁴ - 2ab³

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One of the legs of right triangle measures 16 cm and the other leg measures 2 cm.
Pavlova-9 [17]

Answer:

16.1 cm (nearest tenth)

Step-by-step explanation:

<u>Pythagoras’ Theorem</u>

a^2+b^2=c^2

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

  • a = 16 cm
  • b = 2 cm

Substitute the given values into the formula and solve for c:

\implies 16^2+2^2=c^2

\implies 256+4=c^2

\implies c^2=260

\implies c=\sqrt{260}

\implies c=2\sqrt{65}

\implies c=16.1 \sf \: cm\:(nearest\:tenth)

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2 years ago
2. Polygon KLMN is similar to polygon PQRS. What is the length of QR?
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Step-by-step explanation:

4 0
3 years ago
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Solve for x.show your work please<br><br> - 1/2x &lt; -12
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Answer:

x <24

Step-by-step explanation:

first cancel negative signs

then transfer 2 to right side

3 0
3 years ago
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At a restaurant, you order a meal and a beverage that costs $14. You leave a 20% tip. What is the total cost of the meal?
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zheka24 [161]

Answer:

20%

Step-by-step explanation:

Original price = $65

Current price = $52

Discount = $65 - $52

Discount = $13

The percentage discount is calculated as:

Discount/Original price × 100

= $13/$65 × 100

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