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alukav5142 [94]
3 years ago
15

If a=3, b=-5 fond the value of (2a+3b) (4a sq- 6ab+9b square)​

Mathematics
1 answer:
snow_lady [41]3 years ago
4 0

Step-by-step explanation:

(2a+3b)(4a²-6ab+9b²

(2a+3b){(2a)²-2a×3b+(3b)²}

Because (a³+b³)=(a+b)(a²-ab+b²)

Therefore,

(2a+3b){(2a)²-2a×3b+(3b)²}

=(2a)³+(3b)³

By substituting the values , we get

  • (2a)³+(3b)³
  • (2×3)³+(3×(-5))³
  • 6³+(-15)³
  • 216+(-3375)
  • 216-3375
  • -3159
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I really need help with this. It's on a test due today, and the teacher said we can use any help we can get, so this is allowed.
geniusboy [140]

Answer:

I think it would be 88.

4 0
3 years ago
On a map, the length of a river is 4.75 in. The actual length of the river is 247 miles. What is the scale of the map?
chubhunter [2.5K]
Since we know the actual river length is 247 miles and that it transfers to 4.75 inches on the map we can divide to find our answer. Dividing will show us how many miles is equivalent to 1 inch on the map.

247/4.75 = 52

This means every 52 miles will appear on the map as 1 inch.

You can also check this answer (you do not have to check) by making an equation that shows the two values and finding how much 1 mile is in inches on the map.

247 (miles) = 4.75 (inches)

Now, we can divide 247 by 247 to give us 1 mile, and what you do to one side of the equation you must do to the other.

247/247 = 4.75/247 (I suggest using a calculator for this part)
              ↓
1 mile = 0.01923076923 inches on the map

To continue checking the answer multiply both sides by 52. The inches sides will come out as 1 proving that 52 miles is equivalent to 1 inch on the map.

1(mile)*52 = 0.01923076923(inches)*52
               ↓
52 miles = 1 inch

Your answer is now proven to be 52 miles is 1 inch on the scale. I suppose you could also write it as 1 mile is equal to 0.01923076923 inches for the scale, but it is unnecessarily complicated and I'm sure your teacher expects the other and much simpler answer.

Answer: The scale converts 52 miles to 1 inch on the map.

3 0
3 years ago
Mrs.Claus needs to knit socks for all of santa's Reindeer. He has 5 reindeer pens with 13,22,14,24 and 17 reindeer in them. How
algol [13]
13 + 22 + 14 + 24 + 17 = 90
90(4) because reindeer have 4 hooves = 360 gloves
3 0
3 years ago
Is the statement “ for a set of whole numbers, the longest numeral will belong to the largest number” true or false? Why?
IRISSAK [1]

Numerals are symbols and figures that are used to denote or represent numbers.

It is false that “for a set of whole numbers, the longest numeral will belong to the largest number”

<h3>How to determine the true statement</h3>

The length of a numeral does not determine the value of the number,

The above statement means that

The whole number with the longest numeral in a set may or may not be the largest.

Take for instance the numbers 8 and 9.

In Roman numerals,

8 is represented with VIII and 9 is represented with IX

The numeral VIII is longer than the numeral IX, but IX is greater than VIII

Hence, the statement is false

Read more about numerals at:

brainly.com/question/23637934

5 0
2 years ago
Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-response question.
makkiz [27]

Let

x------> the number of multiple choice question

y------> the number of free response question

we know that

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-----> equation B

Substitute equation B in equation A

Find the value of x

therefore

the answer is

the number of multiple choice question are

the number of free response question are

3 0
1 year ago
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