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3 years ago

Can you helo me with number 8?

Mathematics

2 answers:

kow [346]3 years ago

8 0

Answer:

all work is shown and pictured

NikAS [45]3 years ago

6 0

Answer:

$p = \frac{2}{5}$

Step-by-step explanation:

3(5p - 3) = 5(p - 1)

Try getting the x's all on one side

15p - 9 = 5p - 5 Start by adding 9 to both sides

+ 9 + 9

15p = 5p + 4 Then subtract 5p from both sides

-5p -5p

10p = 4 Divide both sides by 10 to get p

$\frac{10p}{10} = \frac{4}{10}$

$p = \frac{4}{10} or \frac{2}{5}$

You might be interested in

Find the value of sin(a/2) if cosa= 12/13

daser333 [38]

Answer: sin $\frac{a}{2}$ = ± $\frac{1}{\sqrt{26} }$

Step-by-step explanation:

We very well know that,

cos2A=1−2sin²A

⟹ sinA = ± $\sqrt{(1-} \frac{cos2A}{2} )$

As required, set A = $\frac{a}{2}$ & cos a= $\frac{12}{13}$ ,thus we get

sin $\frac{a}{2}$ =± $\sqrt{\frac{1-cos a}{2} }$

∴ sin $\frac{a}{2}$ =± $\sqrt{\frac{1-\frac{12}{13} }{2} }$ = ± $\frac{1}{\sqrt{26} }$

since ,360° < $\frac{a}{2}$ <450°

,180° < $\frac{a}{2}$ <225°

Now, we are to select the value with the correct sign. It's is obvious from the above constraints that the angle a/2 lies in the III-quadrant where 'sine' has negative value, thus the required value is negative.

hope it helped!

5 0

3 years ago

(b) Given that

Gnesinka [82]

Answer:n=-2 or n=4

Step-by-step explanation:

Q is not inversible if det(Q)=0

$\left|\begin{array}{ccc}6&7&-1\\3&n&5\\9&11&n\end{array}\right| =0\\\\\\\\6(n^2-55)-3(7n+11)+9(35+n)=0\\\\n^2-2n-8=0\\\\\Delta=36=6^2\\\\n=\dfrac{2-6}{2} =-2\ or\ n=\dfrac{2+6}{2}=4\\$