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Semmy [17]
3 years ago
5

9x + 12 - 3x = 3(2x + 4) Need help

Mathematics
1 answer:
netineya [11]3 years ago
8 0

Answer:

x

Step-by-step explanation:

So you start by putting the like terms together which will be

9x-3x=6x

You then open the brackets at the other part of the question

3 x 2x+3 x 4=6x+12

The question now becomes

6x +12=6x+12

Take 12 to the other side and minus.You will be left with

6x=6x

Simplify and your left with x which is your answer

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E temperature t of a metal sphere is inversely proportional to the distance from the centre of the sphere (the origin (0, 0, 0))
olasank [31]

(-x, -y, -z) the vector form (x, y, z) to the origin, in the direction of the greatest increase.

<h3>How to calculate temperature?</h3>

The quantity or amount of radiation contained in material or item, as measured by a temperature or sensed by touch and stated on a numerical scale.

The temperature T of a ball bearing is inverse to the length first from the origin, which we consider to be the center of the ball. The temperature at the exact location

(x, y, z) is a point on the sphere, the temperature at this point is given by

T(x,y,z)= \dfrac{k}{(x^2 +y^2+z^2)^{1/2}}

Where k is constant, then we have

T(1, 2, 2) = k/3 = 170

k = 510

So

T(x,y,z)= \dfrac{510}{(x^2 +y^2+z^2)^{1/2}}

Then we have

\rm \triangledown T =  \left ( -\dfrac{510x}{(x^2 +y^2+z^2)^{1/2}}, -\dfrac{510y}{(x^2 +y^2+z^2)^{1/2}}, \dfrac{510z}{(x^2 +y^2+z^2)^{1/2}} \right )\\\\\\\triangledown T (1, 2, 2) = -\dfrac{510}{27} (1, 2, 2) =-\dfrac{170}{9} (1, 2, 2)

Then the direction will be from (1, 2, 2) to (4, 3, 5) will be (3, 1, 3)

So u = (3/√19, 1/√19, 3/√19)

Then we get

\rm \triangledown T \cdot u = \dfrac{-170}{9}(1, 2, 2) \cdot \left (\dfrac{3}{\sqrt{19}}, \dfrac{1}{\sqrt{19}}, \dfrac{3}{\sqrt{19}} \right )\\\\\\\triangledown T \cdot u = - \dfrac{170}{9\sqrt{19}} (3 + 2 + 6)\\\\\\\triangledown T \cdot u = -\dfrac{1870}{9\sqrt{19}}

The direction of the greatest inverse in the temperature is given by any vector parallel to and having the same direction \triangledownT. (-x, -y, -z) the vector form (x, y, z) to the origin, in the direction of the greatest increase.

More about the temperature link is given below.

brainly.com/question/11464844

#SPJ4

6 0
1 year ago
Find the value for p given the equation p/2+1=3
Vikentia [17]
Take 1 to the other side as negative


p/2=2


Take 2 to the other side and multiply it


2*2 is 4


So p is 4
3 0
3 years ago
How can I use measuring tools to find capacity?
Finger [1]

When measuring the weight or mass of a small object, you can use a scale or a balance. You can use a scale to measure ounces and pounds. When measuring units of capacity in cooking, you can use measuring cups and measuring spoons.

6 0
2 years ago
The length of a deck is 4 times its width. if the perimeter is 30 feet what is the area
Fantom [35]
I hope this helps you



4 0
2 years ago
X= 5y + 7<br> 2x + 4y = 0<br> Solve for substitution
algol13

Answer:

x=2 and y= -1

Step-by-step explanation:

substitute x value in equation 2

2(5y+7)+4y=0

10y+14+4y=0

14y = -14

y= -1

here,

x= 5(-1)+7

x= -5+7

x=2

8 0
2 years ago
Read 2 more answers
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