Surface area of cylinder = 2πrh

pickupchik [31]

Answer: y/3x

Step-by-step explanation: 3 times x is 3x, so y/3x

5 0

2 years ago

The line 3x-8y=k cuts the x-axis and y- axis at the point A and B respectively. If the area of ∆AOB =12sq.units, find the value

Sladkaya [172]

Given:

The equation is:

$3x-8y=k$

It cuts the x-axis and y- axis at the point A and B respectively.

The area of ∆AOB =12 sq.units.

To find:

The value of k.

Solution:

We have,

$3x-8y=k$

Substituting $x=0$ to find the y-intercept.

$3(0)-8y=k$

$0-8y=k$

$y=\dfrac{k}{-8}$

$y=-\dfrac{k}{8}$

Substituting $y=0$ to find the x-intercept.

$3x-8(0)=k$

$3x-0=k$

$x=\dfrac{k}{3}$

Area of a triangle is:

$A=\dfrac{1}{2}\times base\times height$

The height of the ∆AOB is $OB=\dfrac{k}{8}$ because distance cannot be negative and the base of the ∆AOB is $OA=\dfrac{k}{3}$ . So, the area of the ∆AOB is:

$A=\dfrac{1}{2}\times \dfrac{k}{8}\times \dfrac{k}{3}$

$A=\dfrac{k^2}{48}$

It is given that, the area of ∆AOB = 12 sq.units.

$\dfrac{k^2}{48}=12$

$k^2=576$

$k=\pm \sqrt{576}$

$k=\pm 24$

Therefore, the value of k is either 24 or -24.

4 0

3 years ago

Please help with algebra, 50 points to anyone who can answer!!

aev [14]

Answer:

let's solve them.

Step-by-step explanation:

1) go...

To find that

" After how many days is the revenue for each game the same "

we have to balance the two equations :

$m(x) = r(x) \\ {x}^{2} - 9x - 10 = 2x + 10 \\$

subtract the sides of equation minus 10

${x}^{2} - 9x - 20 = 2x$

subtract the sides of equation minus 2x

${x}^{2} - 11x - 20 = 0$

now we have to find ∆ to can find the value of x

$∆ = {b}^{2} - 4ac \\ a = 1 \\ b = - 11 \\ c = - 20 \\ \\ ∆ = {11}^{2} - 4(1)( - 20) \\ \\ ∆ = 121 + 80 = 201$

To find the value of x we have this equation :

$x = \frac{ - b + \sqrt{∆} }{2a} \: and \: x = \frac{ - b - \sqrt{ ∆} }{2a} \\ x = \frac{11 + \sqrt{201} }{2} \: and \: x = \frac{11 - \sqrt{201} }{2} \\ x = \frac{11 + 14.18}{2} \: and \: x = \frac{11 - 14.18}{2} \\ x = \frac{25.18}{2} \: and \: x = \frac{ - 3.18}{2} \\ x = 12.59 \: and \: x = - 1.59$

we're done here.

_________________________________

2) go...

I can just solve in one method.

First balance the equations to find when the ball and the rocket reach to the same height.

$b(t) = p(t) \\ - {t}^{2} - 2t + 36 = - 2t + 20$

subtract the sides of equation minus 20

$- {t}^{2} - 2t + 16 = - 2t$

subtract the sides of equation plus 2t

$- {t}^{2} + 16 = 0 \\ - {t}^{2} = - 16 \\ {t}^{2} = 16 \\ t = 4 \: acceptable \\ t = - 4 \: unacceptable \\ because \: time \: cannot \: be \: negative.$

So after 4 seconds the rocket and the ball reach to the same height.

And we're compeletly done.

good luck buddy ♥️♥️♥️♥️♥️.

8 0

3 years ago

In the equation (x+2)2+(y-3)2=4, the diameter of the circle is... 16 4 3 2

julia-pushkina [17]

Answer:

4

Step-by-step explanation:

The given equation of circle is:

$(x+2)^2 +(y-3)^2 =4$

$(x+2)^2 +(y-3)^2 =2^2$

Equating it with:

$(x-h)^2 +(y-k)^2 =r^2$

We find:

$r^2=2^2$

$\therefore r=2$

Radius of the circle = 2 units

Therefore,

Diameter of the circle = 2*2= 4 units

5 0

2 years ago

How can the additive inverse be used to evaluate the problem below?

kondaur [170]

Answer:

Step-by-step explanation:

HEYAA!!!!!

OPTION D

To get the additive inverse of a positive number you put a minus in front of it and to get the additive inverse of a negative number, you remove the minus to make it a positive number.

because when u see the equation u can see it is -3-(-6)

which if u solve it the answer is -3+6=3

so the correct option is (D)

HOPE U UNDERSTOOD

4 0

3 years ago

Read 2 more answers