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Gnesinka [82]
4 years ago
9

X-3y=2 what is the slope

Mathematics
1 answer:
Brums [2.3K]4 years ago
3 0
1/3 is the slope.
x-3y=2
-3y=-x+2
y=(1/3)x+2/3
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what is the solution to the system of equations: x- - y-z = 2, - x - 3 y - 2 z + 4, -x - 2 z = 10
ladessa [460]

Given equations are x- - y-z = 2, - x - 3 y - 2 z + 4, -x - 2 z = 10 .

It seems you have missed to write = in the 2nd equation so i have fixed the sign and going to solve the following system of equations:

x-y-z=2 ...(i)

-x-3y-2z=4 ...(ii)

-x-2z=10 ...(iii)


solve (i) for x

x=2+y+z ...(iv)

plug (iv) into (ii)

-x-3y-2z=4

-(2+y+z)-3y-2z=4

-2-y-z-3y-2z=4

-2-4y-3z=4

-4y-3z=6...(v)


plug (iv) into (iii)

-x-2z=10

-(2+y+z)-2z=10

-2-y-z-2z=10

-2-y-3z=10

-y=12+3z

y=-12-3z...(vi)


plug (vi) into (v)

-4y-3z=6

-4(-12-3z)-3z=6

48+12z-3z=6

48+9z=6

9z=-42

z=-14/3


Now plug value of z into (vi)

y=-12-3z=-12-3(-14/3)=-12+14=2

y=2


plug value of y and z into (iv)

x=2+y+z=2+2-14/3=-2/3


Hence final answer is x=-2/3, y=2, z=-14/3

3 0
3 years ago
A club is hosting a party split the kids into groups so there are equal number of children in each group
DerKrebs [107]
How many kids are in the club?

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4 years ago
Circle the vertex of the angle.
marysya [2.9K]

Answer:

The vertex is point B

Step-by-step explanation:

The vertex of the angle is where the two rays meets

<ABC  ( also called < BCA) can also be called by the vertex

<B

6 0
3 years ago
Please help me <br> Which one do I choose for each one
ICE Princess25 [194]
For the first one i would choose the second answer, Not both.
4 0
3 years ago
The surface area A of a cube is equal to the sum on the areas of the 6 square faces that form the cube. If each face has side le
algol [13]

Answer:

18 units

Step-by-step explanation:

Hello, I can help you with this.

Step 1

identify

we have a equation, let's look  it

A=6s2

The surface area A of a cube=6(area of a face)

area of face= side*side

so

Area=6*side*side

Step 2

isolate side from the equation

side^{2}=\frac{Area}{6}\\side=+\sqrt{\frac{Area}{6}}

we are looking for a distance, so , we will use only the positive root

Step 3

replace the value of 1944 square units into the equation

side=+\sqrt{\frac{Area}{6}}\\side=+\sqrt{\frac{1944}{6}}\\side=\sqrt{324}\\\\side=18\\

so, the value x of a side of a cube with a total

the side of a cube is 18 units  when the surface area of the cube shown is 1944 units2

Have a good day.

6 0
3 years ago
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