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4 years ago

9x^3+6x^2-24x-25÷3x+5

Mathematics

1 answer:

Reika [66]4 years ago

5 0

Answer:

9x3+6x2+

−97

---------

3 x

The reason there is a ------- is because that is a fraction.

Step-by-step explanation:

(see attached image)

The image has it in the right form. :)

Again, I am sorry, and i didnt mean to answer this, but I hope this helps tho!

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Write the equation of the line perpendicular to

r-ruslan [8.4K]

Solving for y, we add 5y to both sides and subtract 4, getting 9x-4=5y. Dividing both sides by 5, we get 9x/5-4/5=y. Since the slope is 9/5 (since 9/5*x=9x/5), we multiply it by -1 and find the reciprocal of it to get -5/9 as the perpendicular slope, so -5x/9+b=y. Plugging 1 in for x and -6 in for y, we get -5*1/9+b=-6 and by adding 5/9 to both sides we get -5-4/9=b , and since in y=mx+b y and x are variables, we end up with y=-5x/9+(-5-4/9) for slope intercept form.

To get it into standard form, we need it in ay+cx=b with a, b, and c being constants. Adding 5x/9 to both sides, we end up with y+5x/9=(-5-4/9) for standard form

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4 years ago

If integer k is equal to the sum of all even multiples of 15 between 295 and 615, what is the greatest prime factor of k?

ohaa [14]

Answer:

The greatest prime factor of k is 11.

Step-by-step explanation:

∵ LCM( 2, 15) = 30,

Thus, the even multiple of 15 must be multiple of 30,

That is, the even multiple of 15 between 295 and 615 are

300, 330, 360,..........600

Which is an AP,

Having first term, a = 300,

Common difference, d = 30,

If n be the number terms,

Last term = $a+(n-1)d$

$=300+(n-1)30$

$=270 + 30n$

$\implies 270+30n = 600\implies 30n = 330\implies n = 11$

Hence, the sum of the all even multiple of 15 from 295 to 615,

$S_{11}=\frac{11}{2}(2(300)+(11-1)30)=\frac{11}{2}(600+300)=\frac{11}{2}(900)=11\times 450$

According to the question,

$S_{11}=k$

⇒ k = 11 × 450 = 11 × 5 × 5 × 3 × 3 × 2

Hence, the greatest prime factor of k is 11.

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3 years ago

Expand.If necessary, combine like terms (2x-3)(2x-3)

ivanzaharov [21]

Answer:

4x^2-12x+9 hope this helps

Step-by-step explanation:

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3 years ago

Choose the ratio that you would use to convert 2.5 centimeters to meters

Diano4ka-milaya [45]

2.5/100/100

2.5/100=1/1

2.5 cm =0.025m

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4 years ago

Find the points of intersection of the line x = 3 + 2t, y = 5 + 8t, z = −6 + t, that is, l(t) = (3 + 2t, 5 + 8t, −6 + t), with t

blsea [12.9K]

See, please, suggested decision:
When the line intersects the xy-plane, then parameter z=0, when does the xz - y=0 and when does yz, x=0. All the details are in attachment.
If it's possible, check arithmetic part.

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3 years ago