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4 years ago

Graph the following inequality on the number line above. 3x < 12

Mathematics

1 answer:

shtirl [24]4 years ago

4 0

We need to isolate x by diving 3 on both sides and you get x<4. To graph this, put an open circle around 4 (because 4 cannot be one of the solutions) and draw an arrow going left because x can be anything below 4

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Evaluate 1 plus negative 2/3 minus (-m) where m is 9/2

Mariana [72]

Answer:

Step-by-step explanation:

Negative 2/3 means -2/3

Hence;

1 + (-2/3) - (-m)

= 1 - 2/3 + m (positive x negative = negative, negative x negative = positive)

Substituting 9/2 for the value of m

= 1 - 2/3 + 9/2

The L.C.M = 6

= ( 6 - 4 + 27)/6

= 29/6

8 0

3 years ago

What is the x-coordinate of the point of intersection for the two lines below?

Brut [27]

Answer:

From the graph, it is clear that the point of intersection is:

(x, y) = (-4, -1)

And the x-coordinate of the point of intersection for the two lines is:

x = -4

Step-by-step explanation:

As we know that the solution of the system of equations is the point of intersection. Let us solve it.

Given the system of equations

$\begin{bmatrix}2x+y=-9\\ 2x-5y=-3\end{bmatrix}$

solving the system of equations

subtracting 2x+y = -9 from 2x-5y = -3

$2x-5y=-3$

$-$

$\underline{2x+y=-9}$

$-6y=6$

$\begin{bmatrix}2x+y=-9\\ -6y=6\end{bmatrix}$

solving for y

$-6y=6$

Divide both sides by -6

$\frac{-6y}{-6}=\frac{6}{-6}$

$y=-1$

$\mathrm{For\:}2x+y=-9\mathrm{\:plug\:in\:}y=-1$

$2x-1=-9$

$2x=-8$

Divide both sides by 2

$\frac{2x}{2}=\frac{-8}{2}$

$x=-4$

Thus, the x-coordinate of the point of intersection for the two lines below will be:

$x=-4$

Also, the graph is attached.

From the graph, it is clear that the point of intersection is:

(x, y) = (-4, -1)

And the x-coordinate of the point of intersection for the two lines is:

x = -4

4 0

3 years ago

Write an equation of the perpendicular bisector of the segment with endpoints

Kruka [31]

Answer:

Step-by-step explanation:

Midpoint of line segment = (1,-3)

Slope of line segment = (-1-(-5))/(3-(-1)) = -3/2

Perpendicular bisector:

y+3 = ⅔(x-1)

y = ⅔x - 11/9

3 0

3 years ago

What’s the answer no links or I will report

artcher [175]

Answer:

105° will be the correct answer

8 0

3 years ago

Read 2 more answers

Whats the answer to 5.6(6.6r-8.9)=79 Rounding to the nearest tenth

Leni [432]

If you are asking the value of r, it is <span>3.48593073.

Rounded, r = 3.5

Hope this helps!</span>

4 0

4 years ago