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2 years ago

Simplify fully WITHOUT using a calculator (3√2 -12)(2√2+1)

Mathematics

2 answers:

natita [175]2 years ago

6 0

Answer:

$33\sqrt{2} +12$

Step-by-step explanation:

$(3\sqrt{2} - 12)(2\sqrt{2} + 1)$

$6\sqrt{2} + 3\sqrt{2} -12(2\sqrt{2})+12$

$9\sqrt{2}+24\sqrt{2}+12$

$33\sqrt{2} +12$

xenn [34]2 years ago

6 0

Answer:

$21\sqrt{2$

Step-by-step explanation:

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Best and correct answer gets brainliest!!!

dmitriy555 [2]

59 degrees!
because you set up your problem: 3c+2+2c-7=90
then combine all like terms: 5c-5=90
Add 5 to both sides: 5c=95
then divide both sides by 5: c=19
Plug in your answer: 3(19)+2=59

8 0

3 years ago

Round 4,317 to the nearest ten

Dafna11 [192]

Answer:

4,320

Step-by-step explanation:

7 is closer to 10 then 0. 4,310 + 10 = 4,320

3 0

3 years ago

The radius of the base of a cylinder is increasing at a rate of 7 millimeters per hour. The height of the cylinder is fixed at 1

Ilya [14]

Answer:

The rate of change of the volume of the cylinder at that instant = $791.28\ mm^3/hr$

Step-by-step explanation:

Given:

Rate of increase of base of radius of base of cylinder = 7 mm/hr

Height of cylinder = 1.5 mm

Radius at a certain instant = 12 mm

To find rate of change of volume of cylinder at that instant.

Solution:

Let $r$ represent radius of base of cylinder at any instant.

Rate of increase of base of radius of base of cylinder can be given as:

$\frac{dr}{dt}=7\ mm/hr$

Volume of cylinder is given by:

$V=\pi\ r^2h$

Finding derivative of the Volume with respect to time.

$\frac{dV}{dt}=\pi\ h\ 2r\frac{dr}{dt}$

Plugging in the values given:

$\frac{dV}{dt}=\pi\ (1.5)\ 2(12)(7)$

$\frac{dV}{dt}=252\pi$

Using $\pi=3.14$

$\frac{dV}{dt}=252(3.14)$

$\frac{dV}{dt}=791.28\ mm^3/hr$ (Answer)

Thus rate of change of the volume of the cylinder at that instant = $791.28\ mm^3/hr$

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3 years ago

Let f(x) = 3x + 2 and g(x) = x - 3. Find g(x) - f(x) and state its domain.

Bad White [126]

We have that

f(x) = 3x + 2
g(x) = x - 3

[g(x) - f(x)]=(x-3)-(3x+2)--------> (x-3-3x-2)-----> -2x-5

the domain is all real numbers

the answer is
–2x – 5; all real numbers

3 0

3 years ago

Solve for x: x - 10 = -12

MakcuM [25]

Answer:

The answer is -2

Step-by-step explanation:

First you do +10 on both sides leaving you with x = -2

And that is your final answer (x=-2)

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

7 0

3 years ago

Read 2 more answers

Simplify fully WITHOUT using a calculator (3√2 -12)(2√2+1)​

Simplify fully WITHOUT using a calculator (3√2 -12)(2√2+1)