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3 years ago

pls help Using the pattern learned for the square of a binomial, square (3x-5y^2) Explain the pattern.

Mathematics

1 answer:

Bess [88]3 years ago

6 0

Step-by-step explanation:

The binomial square product states that

$(x - y) {}^{2} = x {}^{2} - 2xy + {y}^{2}$

So this means

If there a coefficient in front of x are y, we multiple them as well.

In terms, this means that a binomial squared is equal to

The first term squared + the two terms multiplied together and by 2 + the last term squared.

$(3x - 5y {}^{2} ) {}^{2} = 9 {x}^{2} - 30xy {}^{2} + 25 {y}^{4}$

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Hi! I need help with the attached question in calc. Thank you:)

Elena L [17]

Answer:

3π square units.

Step-by-step explanation:

We can use the disk method.

Since we are revolving around AB, we have a vertical axis of revolution.

So, our representative rectangle will be horizontal.

R₁ is bounded by y = 9x.

So, x = y/9.

Our radius since our axis is AB will be 1 - x or 1 - y/9.

And we are integrating from y = 0 to y = 9.

By the disk method (for a vertical axis of revolution):

$\displaystyle V=\pi \int_a^b [R(y)]^2\, dy$

So:

$\displaystyle V=\pi\int_0^9\Big(1-\frac{y}{9}\Big)^2\, dy$

Simplify:

$\displaystyle V=\pi\int_0^9(1-\frac{2y}{9}+\frac{y^2}{81})\, dy$

Integrate:

$\displaystyle V=\pi\Big[y-\frac{1}{9}y^2+\frac{1}{243}y^3\Big|_0^9\Big]$

Evaluate (I ignored the 0):

$\displaystyle V=\pi[9-\frac{1}{9}(9)^2+\frac{1}{243}(9^3)]=3\pi$

The volume of the solid is 3π square units.

Note:

You can do this without calculus. Notice that R₁ revolved around AB is simply a right cone with radius 1 and height 9. Then by the volume for a cone formula:

$\displaystyle V=\frac{1}{3}\pi(1)^2(9)=3\pi$

We acquire the exact same answer.

8 0

3 years ago

Please answer this, thanks.

elena55 [62]

First, put it into point-slope form.

Find the slope:

m=(y2-y1)/(x2-x1)
m=(-6-(-2)/(2-1)
m=(-6+2)/1
m=-4/1
m=-4

Now, put it into point-slope:

y-y1=m(x-x1)

y-2=-4(x-(-6)
y-2=-4(x+6)
y-2=-4x-24

Slope intercept form: y= mx+b

Add 2 to the other side.

y=-4x-22 <== the answer

I hope this helps!
~kaikers

4 0

3 years ago

Read 2 more answers

Does anyone know the answer

abruzzese [7]

Answer:

63 cm

Step-by-step explanation:

8 0

3 years ago

Please Help!!

STALIN [3.7K]