2 years ago

7) Find the slope of the graph of the equation 3x+15y=25. Plz, Plz, Plz show your work.

Mathematics

1 answer:

Alla [95]2 years ago

7 0

This is the answer to your question:

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Evaluate P(3, 3) <br> 1<br> 9<br> 6

solong [7]

Hence, the value of P(3,3) is 6

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2 years ago

Suppose a and b are both non zero real numbers. Find real numbers c and d such that 1/a+ib= c+id

Thepotemich [5.8K]

$\begin{gathered} c=\frac{a}{a^2+b^2} \\ d=\frac{-b}{a^2+b^2} \end{gathered}$

Explanation

$\frac{1}{a+bi}=c+di$

Step 1

multiplicate by the conjugate

$\begin{gathered} \frac{1}{a+bi}\cdot\frac{a-bi}{a+bi}=\frac{a-bi}{(a+bi)(a-bi)}=\frac{a-bi}{a^2-(bi)^2} \\ \frac{1}{a+bi}\cdot\frac{a-bi}{a+bi}=\frac{a-bi}{(a+bi)(a-bi)}=\frac{a-bi}{a^2-(-b^2)}=\frac{a-bi}{a^2+b^2} \end{gathered}$

notice that

$\begin{gathered} \frac{1}{a+bi}=\frac{a-bi}{a^2+b^2}=\frac{a}{a^2+b^2}-\frac{b}{a^2+b^2}i \\ \frac{a}{a^2+b^2}-\frac{b}{a^2+b^2}i=c+di \\ so \\ \end{gathered}$ $\begin{gathered} c=\frac{a}{a^2+b^2} \\ d=\frac{-b}{a^2+b^2} \end{gathered}$

I hope this helsp you

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1 year ago

A go-kart top speedtop speed is 607,200 ft per hour. what is the speed in miles per hour.

Maru [420]

Divide 607,200 by 5280 which equals 115

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2 years ago

Find the area of a triangular garden if the sides are approximately 6 feet, 14 feet, and 13 feet (to the nearest square foot).

pashok25 [27]

Answer is 39 ft square
A=h•b/2
A=13•6/2
A=78/2
A=39 ft square

I attached photo