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zysi [14]
2 years ago
12

Can someone please help me​

Mathematics
1 answer:
astra-53 [7]2 years ago
5 0

Answer:

square 20 has 44 green squares

square 21 has 45 green squares

Step-by-step explanation:

To solve the problem, we need to observe the cases, and determine/define a rule for each case (odd number of sides, or even number of sides).

For square one, we note that the centre square is shared by two diagonals, so we saved one square from the two diagonals.

The side length is 3 for square 1, 4 for square 2, and so on.

Let

n= square number (1, 2,3...)

L = side length (3,4,5...)

G1(n) = function that gives the number of green squares for square n, n=odd

G2(n) = function that gives the number of green squares for square n, n=even

side length, L=n+2   ................(1)

G1(n) = twice the side length less one, as discussed above

G1(n) = 2L-1       now substitute L=n+2

G1(n) = 2(n+2) -1    simplify

G1(n) = 2n + 3

Check:

for n=1, square 1 has 2*1+3 = 5 green squares ... checks

for n=3, square 3 has 2*3+3 = 9... checks

for n=5, square 5 has 2*5+3 = 13 ....checks

For even squares, it is even easier, because

G2(n) = 2L = 2(n+2)

check:

for n=2, square 2 has 2(2+2) = 8 green squares........checks

for n=4, square 4 has 2(4+2) = 12 green squares........checks.

Fincally, we apply our formula to n=20 and n=21

square 20 : G2(20) = 2(n+2) = 2(20+2) = 44 green quars

square 21 : G1(21) = 2n+3 = 2(21)+3 = 45 green squares

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3 years ago
If p stays constant and u is doubled what happens to e? given U=EP
Stolb23 [73]

We are given the expression:

U = E * P

 

The equality symbol “ = “ means that for all cases, the value of U and E * P must always be equal. This means that whatever happens on the left side, must equally happen on the right side.

 

So what this actually means is that, if we double U so we must also double the expression E * P, that is:

2 U = 2 (E * P)

 

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4 0
3 years ago
Please help me with this?
Alenkasestr [34]

Answer:

  A)  The population in the year that she was born.

Step-by-step explanation:

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3 0
3 years ago
TRUE OR FALSE: A translation maps each point to its image along a vector called the translation vector
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Step-by-step explanation:

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6 0
2 years ago
Y=-3x+5<br> 5x-4y=-3<br> pls help
salantis [7]

Hello!

\large\boxed{x = 1, y = 2}

We can solve this system using substitution.

Since y = -3x + 5, we can substitute this into the following equation:

5x - 4(-3x + 5) = -3

Simplify:

5x - 4(-3x) - 4(5) = -3

5x + 12x - 20 = -3

Combine like terms:

17x - 20 = -3

Add 20 to both sides:

17x = 17

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Substitute to find y:

y = -3(1) + 5

y = -3 + 5

y = 2

Solution: (1, 2)

7 0
2 years ago
Read 2 more answers
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