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nikdorinn [45]
3 years ago
12

Please help!!

Mathematics
2 answers:
Inessa05 [86]3 years ago
8 0
30)~\dfrac{2a^2-13a+18}{a-2}=\dfrac{(a-2)(2a-9)}{(a-2)}=2a-9\\\\
31)~(4y-5)^2-3y(4y-5)-y+27=\\\\=16y^2-40y+15-12y^2+15y-y+27=\\\\=4y^2-26y+42=2(2y^2-13y+21)=\\\\=2(2y-7)(y-3)
QveST [7]3 years ago
3 0
Bonus answer is 4y cube 2 - 56y+52
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Ignore this please, wanted to delete it but couldn't
konstantin123 [22]

Answer: ok

Step-by-step explanation:

4 0
3 years ago
Determine the equation of the tangent of the hyperbola that is parallel to the given line:
marin [14]

The tangent line to the curve has slope equal to \frac{\mathrm dy}{\mathrm dx}. Use implicit differentiation to find this derivative.

9x^2-4y^2=32

\implies18x-16y\dfrac{\mathrm dy}{\mathrm dx}=0\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{-18x}{-16y}=\dfrac{9x}{8y}

The given line in slope-intercept form is

9x+2y-1=0\implies y=\dfrac{1-9x}2

and has slope -9/2. Any line parallel to this one has the same slope. The tangent to the hyperbola has this slope at points (<em>x</em>, <em>y</em>) such that

-\dfrac92=\dfrac{9x}{8y}\implies x=-4y

Find the points on the hyperbola where this condition is met.

9(-4y)^2-4y^2=140y^2=32\implies y^2=\dfrac{32}{140}\implies y=\pm\sqrt{\dfrac8{35}}\implies x=\pm4\sqrt{\dfrac8{35}}

Then use the point-slop formula to build the equations of these tangents:

y\mp\sqrt{\dfrac8{35}}=-\dfrac92\left(x\pm4\sqrt{\dfrac8{35}}\right)

8 0
3 years ago
Describe the test of divisibility for:<br> a) 6 b) 4
kogti [31]

6 It is divisible by 2 and by 3.

4 it is divisible by 4...

The divisibility rules of 4 and 6 are completely different. In the divisibility rule of 4, if the last two digits are zeros or the number formed by the last two digits is exactly divisible by 4, then we can say that a number is divisible by 4.

HOPE ITS HELPFUL FOR U MATE

7 0
3 years ago
What is the total amount that First Consumer Bank will receive after lending Jane $7,000 for three years at an interest rate of
solmaris [256]
Take you amount and add 1 with the interest in brackets. close the brackets and square your year, then calculate. 


formula:
7000(1+5%) multiplied by the year
=8103.38
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8 0
3 years ago
Read 2 more answers
What is 7/4 as a mixed number? A. 13/4 B. 11/4 C. 3/4 D. 17/4
natima [27]
7/4 as a mixed number is the mixed number 1 3/4
3 0
3 years ago
Read 2 more answers
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