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2 years ago

Prove the divisibility of the following numbers by 7

1 answer:

3 0

5^5 mod 7 = 3
5^4 mod 7 = 2
5^3 mod 7 = 6

3 -2 +6 mod 7 = 0
Therefore, 5^5 -5^4 +5^3 mod 7 = 0 and that sum is divisible by 7.

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I know the answer but I don’t know how to set it up

vladimir2022 [97]

Answer: 4 x 16 = 64

16 + 44 = 60

I think..

Step-by-step explanation:

7 0

3 years ago

Please help this is due in 20 minutes

Allushta [10]

Answer:

1.SAS, ASA,

2. Not congruent

3.C

4. If you could screenshot the whole page I can give tell you what it is.

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2 years ago

3) Monica is listening to Spotify. She noticed that during one hour, 15 songs were played and 3 of them were country. What is th

Blababa [14]

Answer:

D. 1/5

Step-by-step explanation:

The ratio would be 3/15 and when it's reduced it is 1/5

I hope this helps

8 0

2 years ago

Which of the following best shows two elements combining to form a compound!? Explain...

ioda

Answer:

C because elements are form by atoms and when we study about atom we draw atom like circle

so, that's why I think C is correct

Step-by-step explanation:

5 0

2 years ago

The general form of a circle is given as x^2+y^2+4x - 12y + 4 = 0. A) What are the coordinates of the center of the circle? B) W

Alex_Xolod [135]

Answer:

center = (-2, 6)

radius = 6

Step-by-step explanation:

<u>Equation of a circle</u>

$(x-a)^2+(y-b)^2=r^2$

(where (a, b) is the center and r is the radius)

Therefore, we need to rewrite the given equation into the standard form of an equation of a circle.

Given equation:

$x^2+y^2+4x-12y+4=0$

Collect like terms and subtract 4 from both sides:

$\implies x^2+4x+y^2-12y=-4$

Complete the square for both variables by adding the square of half of the coefficient of $x$ and $y$ to both sides:

$\implies x^2+4x+\left(\dfrac{4}{2}\right)^2+y^2-12y+\left(\dfrac{-12}{2}\right)^2=-4+\left(\dfrac{4}{2}\right)^2+\left(\dfrac{-12}{2}\right)^2$

$\implies x^2+4x+4+y^2-12y+36=-4+4+36$

Factor both variables:

$\implies (x+2)^2+(y-6)^2=36$

Therefore:

center = (-2, 6)
radius = √36 = 6

7 0

1 year ago