HELP might fail class

Mathematics

1 answer:

sergiy2304 [10]3 years ago

7 0

By not using the digit 0, John has 9 digits left to choose from. By not using the letter m, John has 25 letters left to choose from.

The password pattern is <letter><letter><digit><digit><digit><digit>. Use the Multiplication Principle:

25 x 25 x 9 x 9 x 9 x 9 = 4,100,625

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Choose the appropriate pattern and use it to find the product: (p4−q4)(p4+q4).

sp2606 [1]

The expression can be solved by expanding the bracket and multiplying out the terms

$(p^4-q^4)(p^4+q^4)$ $\begin{gathered} =p^4(p^4+q^4)-q^4(p^4+q^4) \\ =p^8+p^4q^4-p^4q^4-q^8 \\ =p^8-q^8 \end{gathered}$

Therefore, the expression can be simplified as;

$p^8-q^8$

Alternatively, using the theorem of difference of two squares, which is

$a^2-b^2=(a-b)(a+b)$

Hence,

$p^8-q^8=(p^4)^2-(q^4)^2$

7 0

1 year ago

Which of the relations given by the following sets of ordered pairs is not a function?

-Dominant- [34]

Answer:

Hi, there your answer will be C.

Step-by-step explanation:

The reason why is because X(Input) can not be repeated the same

for example the coordiante( 1,3) and (1,4). See there are two ones which make them not function

Also, if you're having trouble with Functions and nonfunctions

REMEMBER THS

Function: X and y has to be separarte and can't have the same X

NON-FUNCTION- WHEN X REPEATS ITSELF

Hope this helps :)

7 0

3 years ago

(02.07)Which relationship is always true for the angles x, y, and z of triangle ABC? A triangle is shown with a leg extending pa

zysi [14]

Check out the attached image. I drew what I think your book is showing. The figure on the left is triangle ABC without any extended segments. The figure on the right has segment AB extended shown in red. This forms the exterior angle x

The rule that connects x, y and z together is the remote interior angle theorem. It says that adding two interior angles is going to be equal to the exterior angle that is not touching either interior angle. The "remote" part means "far away" so just think of the two angles that are furthest way or not touching the exterior angle in question.

In terms of algebra, the rule is
x+y = z