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3 years ago

5 (w – 21)(w + 21) Simplify the equation

Mathematics

1 answer:

Serjik [45]3 years ago

4 0

Answer:5w^2 -2205

Step-by-step explanation:

simplify the product so (1) w mutiplied by w gives you w^2 . (2) 21 mutilplied by 21 gives you 441 . so now you would have 5( w^2 -441 ) (3) now you distribute 5 among the numbers so you should have 5w^2 -2205 .

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What is 2 log 5 + 5 log x written as a single logarithm?

garik1379 [7]

Answer:

log (25 x^5)

Step-by-step explanation:

2 log 5 + 5 log x

We know alog b = log b^a

log 5^2 + log x^5

We know log a + log b = log (a*b)

log ( 5^2 * x^5)

5^2 = 25

log (25 x^5)

7 0

3 years ago

Read 2 more answers

A segment with endpoints (5,8) and (-6,8) is rotated around the origin. How long will the new segment be?

Gekata [30.6K]

The segment was only rotated, not changed. It would be the same length as the original.

To find the length, use the distance formula.

$\sqrt{ {(x2 - x1)}^{2} + ( {y2 - y1)}^{2} }$
(5, 8) would be point 1.

(-6,8) would be point 2.

Plug them into the formula.

$\sqrt{( { - 6 - 5)}^{2} + ( {8 - 8)}^{2} }$
Simplify.

$\sqrt{( { - 11)}^{2} + ( {0)}^{2} }$
$\sqrt{121 + 0}$
$\sqrt{121}$
Square root this answer.
$\sqrt{121} = + or - 11$
Negative distances aren't possible, so your answer is 11.

Hope this helped!

:)

5 0

3 years ago

Find the perimeter and the area of the figure

valina [46]

Answer:

area=112

perimeter=56

3 0

2 years ago

Pearl inherited a collection of pottery that contained 43 pieces, and she had added 6 pieces of pottery to her collection each m

Anika [276]

103, as 6*10=60, so she has added 60 pieces

6 0

2 years ago

If the sequence 1, 6, 7, 13, 20, ... were to follow the same pattern as the Fibonacci sequence, what are the next three terms?

Alex787 [66]

The Fibonacci sequence is generated by starting with the numbers 0 and 1 (or 1 and 1) and obtaining the next number by adding them together. All successive numbers are the sum of the previous two.

0 + 1 = 1

1 + 1 = 2

1 + 2 = 3

2 + 3 = 5

and so on.

For this sequence, we have

1 + 6 = 7

6 + 7 = 13

7 + 13 = 20

13 + 20 = 33

20 + 33 = 53

33 + 53 = 86

3 0

3 years ago