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Varvara68 [4.7K]
3 years ago
15

12 The points (-15, -3) and (-7, -1) both lie

Mathematics
1 answer:
goldenfox [79]3 years ago
8 0

  rate of change is 1/4

Step-by-step explanation:

You might be interested in
WHAT IS THE REMAINDER WHEN <img src="https://tex.z-dn.net/?f=32%5E%7B37%5E%7B32%7D%20%7D" id="TexFormula1" title="32^{37^{32} }"
Feliz [49]

Recall Euler's theorem: if \gcd(a,n) = 1, then

a^{\phi(n)} \equiv 1 \pmod n

where \phi is Euler's totient function.

We have \gcd(9,32) = 1 - in fact, \gcd(9,32^k)=1 for any k\in\Bbb N since 9=3^2 and 32=2^5 share no common divisors - as well as \phi(9) = 6.

Now,

37^{32} = (1 + 36)^{32} \\\\ ~~~~~~~~ = 1 + 36c_1 + 36^2c_2 + 36^3c_3+\cdots+36^{32}c_{32} \\\\ ~~~~~~~~ = 1 + 6 \left(6c_1 + 6^3c_2 + 6^5c_3 + \cdots + 6^{63}c_{32}\right) \\\\ \implies 32^{37^{32}} = 32^{1 + 6(\cdots)} =  32\cdot\left(32^{(\cdots)}\right)^6

where the c_i are positive integer coefficients from the binomial expansion. By Euler's theorem,

\left(32^{(\cdots)\right)^6 \equiv 1 \pmod9

so that

32^{37^{32}} \equiv 32\cdot1 \equiv \boxed{5} \pmod9

7 0
2 years ago
I need help with this problem
Anit [1.1K]

Answer:

show how you know  .. :D  good rhyme  

Step-by-step explanation:

park = 4" x 6"    ( inches)  small park

but one inch = 30 miles  ooh big park

4*30 X 6*30

120 X 180  miles... like a big game range?  :?  very big

since we only have 6 square inches to fit the map into... then.. what size of map would fit?    what size equals 6 inches?    2 x 3 ?  hmm yes that's 6

soooo  shrink the 4" x 6" to  2"x 3" so the scale needs to double or

1 inch = 60 miles

2"*60  x 3"*60 = 120 x 180 miles.. looks good   try that :)

6 0
3 years ago
Expand the expression by distributing <br> -2(-4x-7)
vova2212 [387]
-2(-4x-7)
Answer:
8x+14
6 0
3 years ago
Read 2 more answers
Angles are always_____.
OlgaM077 [116]
Angles are always congruent
6 0
3 years ago
Help help help help help help help
sdas [7]
It would be 120.

Look at the first column, 40. It’s basically multiplication and you can just use a calculator.

For example, 40 x 1 = 40,
And if you looks the second column, it’s being multiplied by 2. Which would be 40 x 2, you just have to multiply 3 x 40 which is 120.

Sorry for my english

7 0
3 years ago
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