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3 years ago

Part 4 Directions: Write the two statements that form each biconditional.

Mathematics

1 answer:

BlackZzzverrR [31]3 years ago

8 0

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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,

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

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11 months ago

A raft traveled 24 miles upstream on a river in 6 hours. The return trip took the raft 3 hours. What is the rate of the raft in

Lynna [10]

Answer:

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Find value of x and y

marshall27 [118]

Answer:

x = 17 $\sqrt{3}$ , y = 34

Step-by-step explanation:

Since the triangle is right use trig ratios to find x and y

note exact values sin30° = $\frac{1}{2}$ , tan30° = $\frac{1}{\sqrt{3} }$

sin30° = $\frac{opposite}{hypotenuse}$ = $\frac{17}{y}$

multiply both sides by y

y sin30° = 17 ( divide both sides by sin30° )

y = $\frac{17}{\frac{1}{2} }$ = 34

tan30° = $\frac{opposite}{adjacent}$ = $\frac{17}{x}$

multiply both sides by x

x tan30° = 17 ( divide both sides by tan30° )

x = $\frac{17}{\frac{1}{\sqrt{3} } }$ = 17 $\sqrt{3}$

8 0

2 years ago

6 1/2−7/8÷5 11/16 Help

Zanzabum

Answer:

90/91

Step-by-step explanation:

as in the attachment

4 0

2 years ago

Help please! Truth table! Also is it Tautology or not? Thanks!

rosijanka [135]

Answer:

It is not a tautology

Step-by-step explanation:

when all values remain true that is called tautolgy.It would be absurdity because all values are going false

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2 years ago