2x-2 must be zero or greater, since we cannot have a negative quantity under the radical sign (unless we allow for imaginary roots).
Solving 2x-2≥0, we get x-1≥0, or x≥1. x must be equal to or greater than 1.
16 - 16, so the answer to the 2nd problem is the fourth one: x=4.
The quotient of 3,419 and 11 is 310.81.
<h3>How to illustrate the information?</h3>
It should be noted that from the information given, we are to find the quotient of 3,419 and 11 determined using an area model.
It should be noted that this simply means the division of the values given. This will be:
= 3419/11
= 310.81
Therefore, the quotient of 3,419 and 11 is 310.81.
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60 divided by 5,
is 12.
In which case,
12 times 3...
Is 36$.
So Leo would pay 36$ for 3 DVDs at the rate of 12$ for each DVD
For this case we must follow the steps below:
step 1:
We place each of the given points on a coordinate axis
Step 2:
We join the AC points (represented by the orange line)
We join the BD points (represented by the blue line)
It is observed that the resulting figure after placing the 4 points on a coordinate axis, turns out to be a rhombus.
In addition, the blue and orange lines turn out to be perpendicular, that is, they have an angle of 90 degrees between them. This can be verified by finding the slopes of each of the two straight lines (blue and orange), which must be opposite reciprocal, that is, they comply: 
In this case, the slope of the orange line is
and that of the blue line is 
Then
, it is verified that they are perpendicular.
Thus, the conclusion is that ABCD is a rhombus and AC is perpendicular to BD.
Answer:
See attached image
Option D
Answer:
x < -2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Terms/Coefficients
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>
5x + 12 < 2
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Subtraction Property of Equality] Subtract 12 on both sides: 5x < -10
- [Division Property of Equality] Divide 5 on both sides: x < -2