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3 years ago

-2x-3y-5z=24 -3x-6y-4z=20 -x-6y+6z=-26

Mathematics

1 answer:

earnstyle [38]3 years ago

5 0

Answer equals to - 14

Step-by-step explanation:

6 plus 6 equals to 12

-26 minus 12 equals to -14

Therefore answer equals to minus 14

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Will upvote every thing

Nastasia [14]

When 2 lines are coinciding, this means its the same line.
One equation is simply a multiple of the other.

8x = 4x*2
This means the multiplier is 2

5y*2 = 10y

8*2 = 16

The missing values are 10y and 16

3 0

4 years ago

As part of the math assignment, jane makes a graph pf her cookie function. Before handling it in, she compares it to the table.

guajiro [1.7K]

Answer:

Yes, they should.

Step-by-step explanation:

If she is using the data from her table to graph her function they should represent the same function.

4 0

3 years ago

The surface area of a cylinder is increasing at a rate of 9 pi square meters per hour. The height of the cylinder is fixed at 3

Alekssandra [29.7K]

Answer:

$9\pi \text{ cubic meters per hour}$

Step-by-step explanation:

Since, the surface area of a cylinder,

$A= 2\pi r^2 + 2\pi rh$ ................(1)

Where,

r = radius,

h = height,

If $A= 36\pi\text{ square meters}, h = 3\text{ meters}$

$36\pi = 2\pi r^2 + 2\pi r(3)$

$18 = r^2 + 3r$

$\implies r^2 + 3r - 18=0$

$r^2 + 6r - 3r - 18 = 0$ ( by middle term splitting )

$r(r+6)-3(r+6)=0$

$(r-3)(r+6)=0$

By zero product property,

r = 3 or r = - 6 ( not possible )

Thus, radius, r = 3 meters,

Now, differentiating equation (1) with respect to t ( time ),

$\frac{dA}{dt}= 4\pi r\frac{dr}{dt} +2\pi(r\frac{dh}{dt} + h\frac{dr}{dt})$

∵ h = constant, ⇒ dh/dt = 0,

$\frac{dA}{dt} = 4\pi r \frac{dr}{dt} +2\pi h \frac{dr}{dt}$

We have, $\frac{dA}{dt}=9\pi\text{ square meters per hour}, r = h = 3\text{ meters}$

$9\pi = 4\pi (3) \frac{dr}{dt}+2\pi (3)\frac{dr}{dt}$

$9\pi = (12\pi + 6\pi )\frac{dr}{dt}$

$9\pi = 18\pi \frac{dr}{dt}$

$\implies \frac{dr}{dt} =\frac{1}{2}\text{ meter per hour}$

Now,

Volume of a cylinder,

$V=\pi r^2 h$

Differentiating w. r. t. t,

$\frac{dV}{dt}=\pi ( r^2 \frac{dh}{dt}+h(2r)\frac{dr}{dt})=\pi ((3)(6) (\frac{1}{2})) = 9\pi \text{ cubic meters per hour}$

6 0

3 years ago

The flanagans are having their fifth child. All of their childern are athletically gifted,so the youngest child is bound to be a

ioda

Answer: inductive argument.

Step-by-step explanation:

Deductive argument is a logical argument in which a conclusion is made upon the given premises which are assumed to be true.

inductive argument works on the basis of a series of observation and then bring it to frame a certain conclusion.

Here, Flanagans are considering the observation they made by previous children (i.e. they are athletically gifted) and applying the same on the new one by saying "youngest child is bound to be athletically gifted as well.".

So it is of-course an inductive argument.

5 0

4 years ago

To get ready for the big community bake sale, a baker is baking cookies. For his first batch...

vekshin1

Answer:

Step-by-step explanation:

Mean is when you add all the numbers and divide by the number of items there are.

Example:

1,5,4,3,2

(So you first add 1+5+4+3+2=15. Then, divide by 5-which is the amount of numbers counted there- 15 divided by 5 and you get 3)

..Your welcome...idk i hope that helped

8 0

3 years ago

Read 2 more answers