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2 years ago

Find the largest prime divisor of 76^2 − 1.

Mathematics

1 answer:

saveliy_v [14]2 years ago

3 0

Answer:

Step-by-step explanation:

This is a difference of squares and therefore can be written as (76-1)(76+1)=(75)(77).

So lets look at the factors....

75=3(25)=3(5)(5)

77=7(11)

The biggest prime factor is therefore 11.

Identities used:

Difference of squares a^2-b^2=(a-b)(a+b)

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Jennifer’s grandmother buys carrots at the farm stand.She and her 3 grandchildren equally share the carrots. How many kilograms

ohaa [14]

According to picture Jennifer’s grandmother buys = 28 kg of carrots.

Total number of grandchildren = 3.

Number of kilograms of carrots are distributed equally.

<u>In order to find the Number of kilograms of carrots are distributed, we need to divide total Kgs of carrots by total number of grandchildrens.</u>

Therefore ,

28 ÷ 3 .

On dividing 28 by 3, we get 7.

Therefore, Jennifer will get 7 kilograms of carrots.

8 0

2 years ago

Number 1,3,5,6 please

Alenkasestr [34]

Answer:

1.2≤5

2.14>3

Step-by-step explanation:

5. n≥-2+5

n≥3

6.l can't see

4 0

3 years ago

Read 2 more answers

How do yu solve log7-2log 12 ?

Alekssandra [29.7K]

Log 7 - 2log 12 = log $\frac{7}{ 12^{2} }$ ≈ -1.31

4 0

2 years ago

Solve the following equations for x, and give evidence that your solutions are correct (x/2)+(1/3)=(5/6).

azamat

Answer:

x = 1

Step-by-step explanation:

Given equation:

$\frac{x}{2}+\frac{1}{3}=\frac{5}{6}$

Now,

subtracting $\frac{1}{3}$ from both sides

we get

⇒ $\frac{x}{2}+\frac{1}{3}-\frac{1}{3}=\frac{5}{6}-\frac{1}{3}$

⇒ $\frac{x}{2}+0=\frac{5}{6}-\frac{1}{3}$

⇒ $\frac{x}{2}=\frac{5\times3-6}{6\times3}$

⇒ $\frac{x}{2}=\frac{9}{18}$

$\frac{x}{2}=\frac{1}{2}$

Now, multiplying both sides with the number 2, we get

x = 1

4 0

2 years ago

A rectangle has length 2x+3 and width 7x+9. Write a polynomial in standard form that represents the perimeter of the rectangle.

sleet_krkn [62]

Answer:

18x+21

Step-by-step explanation:

First multiply each equation by 2 since there is 2 sides for both the length and width.

2(2x+3) 2(7x+9)

4x+3 14x+18

Then combine like terms

4x+14x 3+18

18x 21

4 0

3 years ago