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emmasim [6.3K]
3 years ago
12

How can you represent the solutions of an inequality

Mathematics
2 answers:
enot [183]3 years ago
6 0

Answer:

, each and every value in the solution set will satisfy the inequality and no other value will satisfy the inequality. Example: Solve 2x + 3 ≤ 7, where x is a natural number.

natka813 [3]3 years ago
3 0
A closed, or shaded, circle is used to represent the inequalities greater than or equal to (≥) or less than or equal to (≤) . The point is part of the solution. An open circle is used for greater than (>) or less than (<). The point is not part of the solution.
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Which linear equation best represents the data given in the table?
kirill115 [55]

Linear equations are equations that have constant slopes

The linear equation that represents the table is (a) y = 7x +4

<h3>How to determine the linear equation</h3>

Start by calculating the slope (m) using:

m = \frac{y_2 -y_1}{x_2 -x_1}

So, we have:

m = \frac{-10 +17}{-2 +3}

Simplify

m = \frac{7}{1}

m = 7

The equation is then calculated as:

y = m(x -x_1) + y_1

So, we have:

y = 7(x +2) -10

Open the brackets

y = 7x +14 -10

y = 7x +4

Hence, the linear equation that represents the table is (a) y = 7x +4

Read more about linear equations at:

brainly.com/question/14323743

5 0
2 years ago
Find the measure of an angle B of a triangle with the following datas: C=80, side b=40 cm, side c=56cm
Oliga [24]

Answer:

3200/560000983663562666663672

8 0
3 years ago
Which of the following is the point-slope form of the line?
ryzh [129]

Answer:

A

Step-by-step explanation:

We can see that the slope is positive, which means that the x-term must be positive.

If you expand and simply both equations into the form y = mx + b, you will find that m is positive for A and negative for B, hence A is the correct answer.

4 0
3 years ago
Find the components of the vertical force Bold Upper Fequalsleft angle 0 comma negative 8 right anglein the directions parallel
nydimaria [60]

Answer with Step-by-step explanation:

We are given that

F=<0,-8>=0i-8j=-8j

\theta=\frac{\pi}{3}

The component of force is divided into two direction

1.Along the plane

2.Perpendicular to the plane

1.The vector parallel to the plane will be=r=cos\frac{\pi}{3}i-sin\frac{\pi}{3}j=\frac{1}{2}i-\frac{\sqrt 3}{2}j

By using cos\frac{\pi}{3}=\frac{1}{2},sin\frac{\pi}{3}=\frac{\sqrt 3}{2}

Force along the plane will be=\mid F_x\mid=F\cdot r

Force along the plane will be =\mid F_x\mid=F\cdot (\frac{1}{2}i-\frac{\sqrt 3}{2}j)=-8j\cdot(\frac{1}{2}i-\frac{\sqrt 3}{2}j)=8\times \frac{\sqrt 3}{2}=4\sqrt 3N

By using i\cdot i=j\cdoty j=k\cdot k=1,i\cdot j=j\cdot k=k\cdot i=j\cdot i=k\cdot j=i\cdot k=0

Therefore, force along the plane=\mid F_x\mid(\frac{1}{2}i-\frac{\sqrt 3}{2}j)=4\sqrt 3(\frac{1}{2}i-\frac{\sqrt 3}{2}j)

2.The vector perpendicular to the plane=r=-sin\frac{\pi}{3}-cos\frac{\pi}{3}=-\frac{\sqrt 3}{2}i-\frac{1}{2}j

The force perpendicular to the plane=\mid F_y\mid=F\cdot r=-8j(-\frac{\sqrt 3}{2}i-\frac{1}{2}j)

The force perpendicular to the plane=4N

Therefore, F_y=4(-\frac{\sqrt 3}{2}i-\frac{1}{2}j)

Sum of two component of force=F_x+F_y=4\sqrt 3(\frac{1}{2}i-\frac{\sqrt 3}{2}j)+4(-\frac{\sqrt 3}{2}i-\frac{1}{2}j)

Sum of two component of force=2\sqrt 3i-6j-2\sqrt3 i-2j=-8j

Hence,sum of two component of forces=Total force.

6 0
3 years ago
I need help pls ASAP show your work
REY [17]

Answer:

X= 43/3

Step-by-step explanation:

-1/4 x 5 = 3/4x - 12

-5/4=3/4x -12

-5=3x - 48

-3x-5 = -48

-3x = -48 + 5

-3x= -43

-3 x= -43

X= 43/3

8 0
3 years ago
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