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ivanzaharov [21]
2 years ago
13

If p is inversely proportional to the square of q, and p is 6 when q is 8, determine p

Mathematics
1 answer:
slavikrds [6]2 years ago
8 0

Answer:

p=96

Step-by-step explanation:

Because p is inversely proportional to the square of q, we have that p(q^2)=k for some constant k. We know that p=6 when q=8, so we have that k=(6)(8)^2=6*64=384.

We want to know what p is when q is equal to 2, so we have that p(2)^2=384, which gives 4p=384, which gives \boxed{p=96}.

Note: \frac{96}{6}=(\frac{8}{2})^2. Coincidence?

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Find the point-slope form. Then use that to find the slope-intercept form
umka2103 [35]
\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~ 5 &,& 10~) 
%  (c,d)
&&(~ 8 &,& 16~)
\end{array}
\\\\\\
% slope  = m
slope =  m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{16-10}{8-5}\implies \cfrac{6}{3}\implies 2
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-10=2(x-5)\implies y-10=2x-10
\\\\\\
y-=2x-10+10\implies y=2x
4 0
3 years ago
Plz help me with these, I don't understand this subject.
Stolb23 [73]

Answer:

A

Step-by-step explanation:

I might be wrong but it seems right.

4 0
2 years ago
Read 2 more answers
PLEASE HELP
horrorfan [7]

Answer:

C(2, 2) is the solution to both lines A and B.

Step-by-step explanation:

Line A is given as:

A straight line labeled A joins the ordered pair 3, 0 and the ordered pair 0, 6.

We know that the equation of a line passing through (a,b) and (c,d) is calculated as:

Hence, the equation of line is:

Hence, equation of line A is:

Similarly B is a line passing through (0,0) and (5,5).

Hence, the equation of line B is:

So, from the graph we observe that, the point of intersection of the two lines is (2,2).

Thus, option C is correct.

8 0
2 years ago
Plz help ill give u brainlist
Basile [38]
2x + 40
Divide both sides by 2
You get x + 20
7 0
3 years ago
Im so confused with algebraic expressions I'm struggling a lot
viva [34]
Can you go into detail about what you need help with?
5 0
3 years ago
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