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Alexus [3.1K]
3 years ago
5

What is the midpoint of (2,-2,4) and (-2,0,6)

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
6 0
Midpoint of (a,b,c) and (e,f,g) is
((a+e)/2,(b+f)/2,(c+g)/2)
just average them

the x value
(2+-2)/2=0/2=0

the y value
(-2+0)/2=-2/2=-1

the z value
(4+6)/2=10/2=5

(0,-1,5) is da midopint
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Solve: −4b+4b≥6(−5b+7)−3(b+3)
Mariana [72]

Answer:

Inequality Form:

b ≥ 1

Interval Notation:

[1,∞)

Step-by-step explanation:

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What is 1/10 of 0.84
Irina-Kira [14]
1/10 of 0.84 is 0.084.
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What is the fraction twelve twentieths in its simplest form
Alla [95]
You mean \frac{12}{20} or \frac{20}{12} ?

If you had meant, \frac{12}{20}, then the simplest form of this fraction would be - \frac{3}{5}

Divide both parts of the fraction by 4, and you get \frac{3}{5}the simplest form of the fraction.
Finding out the simplest form of a given fraction is nothing else than cancelation.

Flop it, you have with you - \frac{20}{12}
Flop the simplest form of the previous fraction, that's \frac{5}{3}

If you had meant \frac{20}{12}, then this will certainly be of any use to you.

HOW TO UNDERSTAND THAT THE FRACTION IS IN ITS SIMPLEST FORM?
Maybe, you are just simplifying and simplifying...but you don't even know when to stop. You can understand whether a fraction is in its simplest form or not by seeing that the numerator and the denominator have a common factor to divide it by, or not.

For instance, consider the case here - \frac{3}{5} or \frac{5}{3}<span>. We can't divide it any further. So, we know that it is in its simplest form.
</span>
L O N G Process:
Well, if you want to divide it by the smallest common factor to its larger, then --
\frac{12}{20} or \frac{20}{12}

1) 
Divided by 2 = \frac{6}{10} or \frac{10}{6}

2) 
Next, also by 2 = \frac{3}{5} or \frac{5}{3}

That took much longer, right.
<span> So, it is more preferable to divide the fraction by the possible largest common factor, you can guess of.</span>

3 0
3 years ago
Read 2 more answers
In ΔDEF, the measure of ∠F=90°, DE = 70 feet, and EF = 57 feet. Find the measure of ∠D to the nearest tenth of a degree.
kondor19780726 [428]

Answer:

  54.5°

Step-by-step explanation:

You know that in a right triangle, the sine of an angle is given by ...

  Sin = Opposite/Hypotenuse

  sin(D) = EF/ED = 57/70

The inverse sine function is used to find the angle:

  ∠D = arcsin(57/70)

  ∠D ≈ 54.5°

5 0
2 years ago
Discussion for Applications of Linear Systems
Lostsunrise [7]

Step-by-step explanation:

There are certain methods for solving a system of equations. Some of which are:

  • Substitution Method
  • Elimination Method
  • Graphing Method

<em>Substitution Method</em>

Substitution method to solve a system of equations is suitable if a variable of a any equation seems isolated or could comfortably be isolated without any ration/fraction resulting.

For example, for the following system of equations

x - 2y = 11....[A]

x = 5 - y....[B]

substituting the value of x = 5 - y from equation [B] into equation [A], so that

(5 - y) - 2y = 11

5 - y - 2y = 11

3y = -6

y = -2

<em>Elimination Method</em>

Elimination method to solve a system of equations is suitable if both equation are in standard form, and just adding or subtracting the equations to determine an equation in one variable.

For example, for the following system of equations

2x + 7y = -5....[C]

5x - 7y = 12....[D]

Adding Equation [C] and Equation [D].

7x + 0 = 7

x = 1

<em>Graphing Method</em>

Sometimes graphing method may be used to solve the system of the equation and visualize the solution.

For example,

y = -2....[E]

y = 3x + 1....[F]

The solution for this system of equation is the point of intersection of both the lines, which is shown in attached figure. The point of intersection is (-1, -2).

Hence, the solution of this system of equations is (-1, -2), as shown in attached figure.

<em>Keywords: system of equations, elimination method, substitution method, graphing method</em>

<em>Learn more about solution of system of equations from brainly.com/question/2643311</em>

<em>#learnwithBrainly</em>

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