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mamaluj [8]
3 years ago
5

Use the difference of two squares to find each product 34•26

Mathematics
1 answer:
Margaret [11]3 years ago
7 0

Answer:

884  is the final answer.

Step-by-step explanation:

The difference of two squares identity is a squared number subtracted from another squared number to get factorized in the form of:

\left(a+b\right)\left(a-b\right)=a^2-b^2

This identity is often used in algebra where it is useful in applications to integer factorization, the quadratic sieve, the algebraic factorization, etc.

34\cdot 26=\left(30+4\right)\left(30-4\right)\\\\=30^2-4^2\\\\=900-16\\\\=884

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Determine whether each of the functions log(n + 1) and log(n2 + 1) is o(log n)
larisa86 [58]
Assuming the order required is as n-> inf.

As n->inf, o(log(n+1)) -> o(log(n)) since the 1 is insignificant compared with n.

We can similarly drop the "1" as n-> inf, the expression becomes log(n^2+1) ->
log(n^2)=2log(n)  which is still o(log(n)).

So yes, both are o(log(n)).

Note: you may have more offers of answers if you post similar questions in the computer and technology section.

8 0
3 years ago
Suppose a triangle has two sides of length 3 and 4 and that the angle
rodikova [14]

Answer:

B

Step-by-step explanation:

We can use the law of cosinse:

c^{2} = a^{2} + b^{2} − 2ab cos(C)

Suppose the two sides are a and b, and the angle betweent them is C.

c^{2} = 3^{2} + 4^{2} − 2*3*4 cos(60)

We can simplify this to get c^{2} =25-12=13

c=\sqrt{13}

Answer choice B

4 0
2 years ago
Read 2 more answers
What is the answer to (4.575 ÷ 275) × 2
const2013 [10]

Answer:

0.0334

Step-by-step explanation:

(4.575 ÷ 275) × 2

0.0167 * 2

Hope this helps!

6 0
2 years ago
6.6666 to the thousands
salantis [7]
6.6666 rounded to the nearest thousandth is 6.667.
The number in the ten thousandths place is greater than five, so the 6 in the thousandths place rounds up to a seven
8 0
3 years ago
Rachel hikes at a steady rate from a ranger station to a campground that is 20 mi away. After 2 h, she is 13 mi from the campgro
Angelina_Jolie [31]

Answer:

-3.5

The distance Rachel covers per hour is 3.5 miles

Step-by-step explanation:

After 2 hours, she is 13 miles from the campground.

After 4 hours, she is 6 miles from the campground.

Let x be the number of hours, y be the number of miles from the campground, then we have two points (2,13) and (4,6).

The equation of the line passing through the points (x_1,y_1) and (x_2,y_2) is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

Substitute:

x_1=2\\ \\y_1=13\\ \\x_2=4\\ \\y_2=6

Hence,

y-13=\dfrac{6-13}{4-2}(x-2)\\ \\y-13=-3.5(x-2)\\ \\y=-3.5x+7+13\\ \\y=-3.5x+20

The slope of the line is -3.5 and it represents that  the distance Rachel covers per hour is 3.5 miles.

8 0
3 years ago
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