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3 years ago

Work out the length of line segment PQ.

1 answer:

6 0

The length is:

the square root of [ (the difference in 'x' values)² + (the difference in 'y' values)² ]

D = √ [ (-2-6)² + (5-2)² ]

= √ [ (-8)² + (3)² ]

= √ (64 + 9) = √75 = 5√3 = 8.66 (rounded to 3 sig-figs)

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What is the cube root of -729a^9 b^6?

Morgarella [4.7K]

Answer:

$-9a^3b^2$

Step-by-step explanation:

Your Welcome!

8 0

3 years ago

Given the function f(x)=2x^3-7x^2-5x+1 find f(-2)

Ksju [112]

Answer:

-33

Step-by-step explanation:

2(-2)^3 -7(-2)^2 -5(-2) +1

-16 -28 +11

= -33

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3 years ago

Help asap! Brainliest + a lot of points! Answer and explain!

Alborosie

The three important about the box and whisker plot is that it shows median, LIQ (Low interquartile), UIQ (Upper Interquartile), the lowest and highest number

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3 years ago

Today there are a total of six toll-free area codes: 800, 844, 855, 866, 877, and 888. Assume that all seven digits for the rest

Ludmilka [50]

Answer:

$6 \times 10^{7}$

Step-by-step explanation:

Total number of toll-free area codes = 6

A complete number will be of the form:

800-abc-defg

Where abcdefg can be any 7 numbers from 0 to 9. This holds true for all the 6 area codes.

Finding the possible toll free numbers for one area code and multiplying that by 6 will give use the total number of toll free numbers for all 6 area codes.

Considering: 800-abc-defg

The first number "a" can take any digit from 0 to 9. So there are 10 possibilities for this place. Similarly, the second number can take any digit from 0 to 9, so there are 10 possibilities for this place as well and same goes for all the 7 numbers.

Since, there are 10 possibilities for each of the 7 places, according to the fundamental principle of counting, the total possible toll free numbers for one area code would be:

Possible toll free numbers for 1 area code = 10 x 10 x 10 x 10 x 10 x 10 x 10 = $10^{7}$

Since, there are 6 toll-free are codes in total, the total number of toll-free numbers for all 6 area codes = $6 \times 10^{7}$

4 0

3 years ago

Find (5.2 x 107)(5 x 108) (3.2 x 106)(5 x 105) , expressed in scientific notation. A) 1.625 x 104 B) 1.625 x 105 C) 8.125 x 104

olga nikolaevna [1]

Answer:

I think it is A) 1.625 x 10^4

4 0

3 years ago