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2 years ago

Equation: M+6/-3=4 What did you do? Simplify/complete sentence

1 answer:

6 0

M + 6/-3 = 4
Following the order of operations, 6 divided by -3 is -2. So we can replace that with -2 and get:

M+-2=4

Adding a negative is the same thing as subtracting.
M-2=4

Then we can add 2 to both sides to get rid of the 2.
M-2+2=4+2
M = 6

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Determine all possibilities for the solution set of a system of 2 equations in 2 unknowns. I. No solutions whatsoever. II. One a

Minchanka [31]

Answer:

II. One and only one solution

Step-by-step explanation:

Determine all possibilities for the solution set of a system of 2 equations in 2 unknowns. I. No solutions whatsoever. II. One and only one solution. III. Many solutions.

Let assume the equation is given as;

x + 3y = 11 .... 1

x - y = -1 ....2

Using elimination method

Subtract equation 1 from 2

(x-x) + 3y-y = 11-(-1)

0+2y = 11+1

2y = 12

y = 12/2

y = 6

Substitute y = 6 into equation 2:

x-y = -1

x - 6 = -1

x = -1 + 6

x = 5

Hence the solution (x, y) is (5, 6)

Hence we can say the equation has One and only one solution since we have just a value for x and y

4 0

3 years ago

3 lines are shown. A line with points P, R, N intersects a line with points M, R, O at point R. A line extends from point R to p

attashe74 [19]

Answer:

(C)Angle MRN and Angle NRO

Step-by-step explanation:

A diagram of the given problem is drawn and attached below.

From the diagram:

Option A: Angle PRL and Angle LRM = Angle PRM which is not 180 degrees.

Option B: Angle ORP and Angle MRN are vertically opposite angles and are therefore not linear pairs.

Option C: Angle MRN and Angle NRO are on the line ORM and therefore forms a linear pair.

Therefore, the correct option is C.

5 0

3 years ago

Read 2 more answers

-(-2) and -/-2/ simplify to different numbers

kow [346]

I suppose the / are absolute value lines.... so ill answer it that way, -(-2) simplifies to 2. -/-2/ simplifies to -2

7 0

3 years ago

A fish tank has a base area of 45cm2 and is filled with water to a depth of 12cm.If the height of the tank is 25cm, how much wat

stepladder [879]

Answer:

Step-by-step explanation:

v = 45 * 12

v = 540cm³

To fill the tank,

v = 45 * 25

v = 1,125cm³

I'm not quite sure what the exact question is so i'll answer both;

1.) The volume of water required to fill the tank from empty = 1,125cm³

2.) The volume of water required to fill the tank from it's current level is

1,125cm³ - 540cm³ = 585cm³

6 0

2 years ago

The graph of f(x) = 2x + 3 shifts 10 units to the right when it is replaced with the graph of f(x) = 2x − k. What is the value o

Nezavi [6.7K]

Answer:

k=17

Step-by-step explanation:

Given F(x)=2x+3 shifts 10 units when it is replaced with the graph f(x)=2x-k.

The method to solve this kind of questions is find where the graph meets the x axis then add ten units to it .The obtained x coordinate is the point where the second graph meets the x axis.

Now first find where the F(x)=2x+3 meets the x axis by substituting F(x)=0.

$2x+3=0$