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sergij07 [2.7K]

3 years ago

14

Simplify all of these

2 answers:

kiruha [24]3 years ago

8 0

Answer:

1) option C, 4b + 4

2) option A, 7x

3) option C, 2a - 12

4) option D, 12x - 6

4vir4ik [10]3 years ago

7 0

4b
7x
5x
6x
their is ur answer

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The base of a solid in the region bounded by the two parabolas y2 = 8x and x2 = 8y. Cross sections of the solid perpendicular to

Usimov [2.4K]

The two curves intersect at two points, (0, 0) and (8, 8):

$x^2=8y\implies y=\dfrac{x^2}8$

$y^2=\dfrac{x^4}{64}=8x\implies\dfrac{x^4}{64}-8x=0\implies\dfrac{x(x-8)(x^2+8x+64)}{64}=0$

$\implies x=0,x=8\implies y=0,y=8$

The area of a semicircle with diameter $d$ is $\dfrac{\pi d^2}8$ . The diameter of each cross-section is determined by the vertical distance between the two curves for any given value of $x$ between 0 and 8. Over this interval, $y^2=8x\implies y=\sqrt{8x}$ and $\sqrt{8x}>\dfrac{x^2}8$ , so the volume of this solid is given by the integral

$\displaystyle\frac\pi8\int_0^8\left(\sqrt{8x}-\dfrac{x^2}8\right)^2\,\mathrm dx=\frac{288\pi}{35}$

6 0

3 years ago

THE DIFFERENCE OF TWO NUMBERS IS 4 AND THEIR SUM IS -7. WHAT IS THEIR PRODUCT. Who ever solved this correct will mark brainlist.

babunello [35]

Answer:

33/4

Step-by-step explanation:

Let the first number be x, and the second number be y.

x - y = 4

x + y = -7

Solve for x in the first equation.

x - y = 4

x = 4 + y

Put x as (4 + y) in the second equation and solve for y.

4 + y + y = -7

4 + 2y = -7

2y = -7 - 4

2y = -11

y = -11/2

Put y as -11/2 in the first equation and solve for x.

x - y = 4

x - (-11/2) = 4

x + 11/2 = 4

x = 4 - 11/2

x = -3/2

Their product is:

-11/2 × -3/2

33/4

6 0

3 years ago

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What is the probabibility of rolling a sum of 10 when rolling two number cubes?

Alja [10]

Answer: 1 over 12

Step-by-step explanation:

8 0

3 years ago

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A vat with 700 gallons of beer contains 4% alcohol (by volume). Beer with 6% alcohol is pumped into the vat at a rate of 7 gal/m

dolphi86 [110]

Answer:

5.2%.

Step-by-step explanation:

After 1 hour (60 / 100) * 700 = 420 gallons of beer have been exchanged.

So we have 420 gallons of 6% and 280 gallons of 4% after 1 hour.

So the strength at that time = (420* 6) + 280*4) / 700

= 5.2%.

6 0

3 years ago

What is the equation of this line?

cricket20 [7]

Answer:

y=1/2x-2

Step-by-step explanation:

the line is at its y-intercept at (0,-2) letting you know that there will be a -2 after the X.

the line is going up 1 vertical box every 2 horizontal boxes letting you know that the slope is 1/2x

8 0

3 years ago