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hoa [83]
3 years ago
9

Show all work 6^(5z+4)=6^(7z-2)

Mathematics
1 answer:
Alex73 [517]3 years ago
7 0
Sizjqnsonqoanwoso osjs
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Find the vertex, focus, and directrix. y = 1/24(x+1)² - 3. 
Vedmedyk [2.9K]
y = \frac{1}{24}(x+1)^2 - 3\\\\y+3 =\frac{1}{24}(x+1)^2\ \ / *24\\\\ (x+1)^2 = 24(y+3)

This   is  an  equation  of  a  parabola  that  opens  upwards.

Its \ standard \ form: \\(x-h)^2=4p(y-k)\\ (h,k)=(x,y) \ coordinates \ of \ the \ vertex\\\ (h,k)=(-1,-3) \\\\axis \ of \ symmetry: \ x= -1\\ \\4p=24\ \ /:4\\p=6

focus:(h,k+p)=(-1,-3+6)=(-1,3) \\ \\directrix: \ y=k-p=-3-6=-9


6 0
4 years ago
Read 2 more answers
The base of a trinagle is increased by 20% and it’s height is increased by 30%. By what percent is the area of the triangle incr
Molodets [167]

Lets say the base is x and the height is y. The new base would be 1.2x and the new height would be 1.3y

Area of a triangle is base times height divided by 2:

1.2x*1.3y/2 = (1.2*1.3 + x*y)/2 = 1.56xy/2 = 0.78xy = 78% of xy

But a normal area would be 50% of xy

78% - 50% = 38%

ANSWER: 38% increase

4 0
3 years ago
Please no wrong answers <br>what to do next??​
Finger [1]

Step-by-step explanation:

I am not sure what you want to calculate as ultimate goal.

but your have an error already in your third line in the picture.

(3-6i)(2-4i) = 3×(2-4i) - 6i(2-4i)

you had there a "+" instead of a "-".

and then you made subsequent mistakes in every line, some of them are funnily bringing you more back to the real result (e.g. -12i + 12i would be 0 and not -24i, but if the third line would have been correct, then yes, -24i is actually needed) - but not completely.

= 3×2 - 3×4i - 6i×2 + 6i×4i =

= 6 - 12i - 12i + 24×-1 = 6 - 24i - 24 = -24i - 18

then in the last 3 lines you kind of lose it completely. I am absolutely not sure, what you are calculating, and where the "+" cube from instead of "×" (multiplications) and such.

(3+6i)(2+4i) = 3×2 + 3×4i + 6i×2 + 6i×4i =

= 6 + 12i + 12i + 24×-1 =

= 6 + 24i - 24 = 24i - 18

is that what you wanted to show ?

7 0
3 years ago
Find the product.Simplify your answer 1/-x*5y/-8
svetlana [45]
1/-x*5y/-8
-1/x × (-5y/8)
5y/8x
6 0
3 years ago
Which geometric figures are drawn on the diagram?<br> Check all that apply.
Allisa [31]

Try adding a picture next time maybe...?

7 0
3 years ago
Read 2 more answers
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