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iren2701 [21]
2 years ago
15

Write the algebraic expression for... 16 less than a number n

Mathematics
1 answer:
jarptica [38.1K]2 years ago
4 0

Answer: n-16

Step-by-step explanation:

The algebraic expression for 16 less than a number n is thesame thing as subtracting 16 from n which will be represented as: n - 16.

Therefore, the algebraic expression for 16 less than a number n will be = n - 16

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Prove the following statement.
jolli1 [7]
<h2>Step-by-step explanation:</h2>

As per the question,

Let a be any positive integer and b = 4.

According to Euclid division lemma , a = 4q + r

where 0 ≤ r < b.

Thus,

r = 0, 1, 2, 3

Since, a is an odd integer, and

The only valid value of r = 1 and 3

So a = 4q + 1 or 4q + 3

<u>Case 1 :-</u> When a = 4q + 1

On squaring both sides, we get

a² = (4q + 1)²

   = 16q² + 8q + 1

   = 8(2q² + q) + 1

   = 8m + 1 , where m = 2q² + q

<u>Case 2 :-</u> when a = 4q + 3

On squaring both sides, we get

a² = (4q + 3)²

   = 16q² + 24q + 9

   = 8 (2q² + 3q + 1) + 1

   = 8m +1, where m = 2q² + 3q +1

Now,

<u>We can see that at every odd values of r, square of a is in the form of 8m +1.</u>

Also we know, a = 4q +1 and 4q +3 are not divisible by 2 means these all numbers are odd numbers.

Hence , it is clear that square of an odd positive is in form of 8m +1

3 0
3 years ago
The slope of the line below is -8/7 Write a point-slope equation of the line using the coordinates of the labeled point. (4,4)
Hitman42 [59]
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3 0
1 year ago
In mostar, bosnia, the ultimate test of a young man's courage once was to jump off a 400-year-old bridge (now destroyed) into th
Alex787 [66]

To solve this problem, we must assume that the man undergoes constant acceleration as he goes down the river (therefore no other forces must act on him except gravity). Therefore we can use the formula below to calculate for the duration of his fall:

y = y0 + v0 t + 0.5 a t^2

where y is the distance and y0 = 0 since we set the reference point at the bridge, v0 is the initial velocity and is also equal to v0 = 0 since the man started from rest, therefore the equation becomes:

y = 0 + 0 t + 0.5 a t^2

y = 0.5 a t^2

Rewriting in terms of t:

t^2 = 2 y / a

t = sqrt (2y / a)

a is acceleration due to gravity = 9.8 m/s^2

t = sqrt [2 * 23 / 9.8]

t = 2.17 s

 

Therefore the jump last only about 2.17 seconds.

6 0
3 years ago
Split the middle term: 72 + b - b^2​
Brrunno [24]

Answer: 9b - 8b

Step-by-step explanation:

ou need two factors that you will multiply together to give you -72b^2 and at the same time when you add this two factors it will give you + b . Check; 9b X -8b = -72b^2 and 9b + (-8b) = b , that is why 9b and -8b are the factors and they will replace the middle value

6 0
2 years ago
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What's the answer PLZZZ HELP the topic btw is reasoning in math
Sergeu [11.5K]

3 + 4x - 3x = 4 is given

3 + x = 4 is combine like terms (4x and -3x were combined to 1x)

x = 1 is subtraction property of equality (3 was subtracted from both sides of the equation)

6 0
3 years ago
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