2 years ago

The value of the square root of 82 is between which two integers?

1 answer:

8 0

The answer: 9 and 10 or 8 and 9
8x8=64
9x9=81
10x10=100
They are close by 18 so If it’s only an answer I would go for 8 and 9

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Given that p=9i+12j and q=-6i-8j. Evaluate |p-q|-{|p|-|q|}

krok68 [10]

Answer:

$|p-q|-(|p|-|q|) = 20$

Step-by-step explanation:

First let's find the value of 'p-q':

$p - q = 9i + 12j - (-6i - 8j)\\p - q = 9i + 12j + 6i + 8j\\p - q = 15i + 20j\\$

To find |p-q| (module of 'p-q'), we can use the formula:

$|ai + bj| = \sqrt{a^{2}+b^{2}}$

Where 'a' is the coefficient of 'i' and 'b' is the coefficient of 'j'

So we have:

$|p - q| = |15i + 20j| = \sqrt{15^{2}+20^{2}} = 25$

Now, we need to find the module of p and the module of q: $|p| = |9i + 12j| = \sqrt{9^{2}+12^{2}} = 15$

$|q| = |-6i - 8j| = \sqrt{(-6)^{2}+(-8)^{2}} = 10$

Then, evaluating |p-q|-{|p|-|q|}, we have:

$|p-q|-(|p|-|q|) = 25 - (15 - 10) = 25 - 5 = 20$

7 0

2 years ago

my water sprinkler turns 5 degrees with every click. if it turns 60 degrees total, how many times has it clicked?

Ket [755]

12 times because you divide 60 by 5 and get 12.

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2 years ago

Andrew used a pedometer to measure the

pychu [463]

Answer:

13.25 mi

Step-by-step explanation:

The largest number on the list is 13.25. The greatest distance was 13.25 miles.

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In order from smallest to largest, the distances are ...

4.9, 5.95, 8.9, 9.8, 13.25

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2 years ago

Given the functions f(x) = – 3x – 5 and g(x) = x^2 – 4, find g(f(x)).

IceJOKER [234]

Answer is b . G)f(x))=9x^3+30x

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2 years ago

The equation y-2/3=(x-1/4) is written in point-slope from what equation in slope-intercept from

Maksim231197 [3]

Answer:

y=x+5/12

good luck...

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2 years ago