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3 years ago

GOF

Mathematics

1 answer:

Daniel [21]3 years ago

3 0

Answer:

(x-10)(x+10)

Step-by-step explanation:

x^2 – 100

This is the difference of squares

x^2 - 10^2

We know that (a^2 - b^2) = (a-b) (a+b)

(x-10)(x+10)

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The nth term of a sequence is 20 - n2

maks197457 [2]

Answer:

Fifth term

Step-by-step explanation:

The third term is:

20 − (3)² = 11

If the term is negative:

20 − n² < 0

n² > 20

n > √20

n > 4.47

The first term to have a negative value is the fifth term.

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2 years ago

What is the length of the the midsegment of a trapezoid with bases of length and ?

Marina86 [1]

Answer:

The midsegment of a trapezoid is parallel to each base, and its length is one-half the sum of the lengths of the bases.

Step-by-step explanation:

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2 years ago

If the measure of an acute angle is represented by x, then the measure of its complement

Luba_88 [7]

Answer:

always true

Step-by-step explanation:

complement equals that angle plus another one adds to 90. If you know that it's less than 90 degrees, then you subtract it from 90 to get the other angle which is the complement. Hope this helps!

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2 years ago

If log2 5 = k, determine an expression for log32 5 in terms of k.

lukranit [14]

Answer:

$log_3_2(5)=\frac{1}{5} k$

Step-by-step explanation:

Let's start by using change of base property:

$log_b(x)=\frac{log_a(x)}{log_a(b)}$

So, for $log_2(5)$

$log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)$

Now, using change of base for $log_3_2(5)$

$log_3_2(5)=\frac{log(5)}{log(32)}$

You can express $32$ as:

$2^5$

Using reduction of power property:

$log_z(x^y)=ylog_z(x)$

$log(32)=log(2^5)=5log(2)$

Therefore:

$log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)$

As you can see the only difference between (1) and (2) is the coefficient $\frac{1}{5}$ :

So:

$\frac{log(5)}{log(2)} =k\\$

$log_3_2(5)=\frac{1}{5} \frac{log(5)}{log(2)} =\frac{1}{5} k$

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2 years ago

Sort 7/10,1/2,3/5,3/4 from least to greatest .

satela [25.4K]

Answer:

Step-by-step explanation:

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2 years ago

Read 2 more answers