Answer:
z = - 1
Step-by-step explanation:
z + (z - 6) - 2 = - 10 ← remove the parenthesis on left side
z + z - 6 - 2 = - 10 , that is
2z - 8 = - 10 ( add 8 to both sides )
2z = - 2 ( divide both sides by 2 )
z = - 1
Answer:
Expanded Form. When we write the number 521, what that number really means is that we have the total of 500 + 20 + 1. We've expanded the number to show the value of each of its digits. When we expand a number to show the value of each digit, we're writing that number in expanded form.
We know that the slope-intercept form of an equation is represented by:
y = mx + b
Where m is the slope, b is the y-intercept, and x and y pertain to points on the line in the graph.
So the slope of the line is know to be 3, and we are able to plug that into the equation:
y = 3x + b
We also know that the point (-2, 6) is on the line. With this information, we can then plug in the point into the equation to find b:
6 = 3(-2) + b
Then we can solve for b:
6 = -6 + b
b = 12
Knowing that b is 12, we can then rewrite the equation in a more general slope-intercept form that is applicable to any point on that line:
y = 3x + 12
Thus, your answer would be C.
<u> </u><u>{x | x ≤ 4.5} </u><u> is another way to represent this </u><u>solution set.</u>
- A set is open if every point in is an interior point. A set is closed if it contains all of its boundary points.
What is open set example?
- An open subset of R is a subset E of R such that for every x in E there exists ϵ > 0 such that Bϵ(x) is contained in E.
- For example, the open interval (2,5) is an open set. Any open interval is an open set. Both R and the empty set are open.
What is an example of a closed set?
- The simplest example of a closed set is a closed interval of the real line [a,b].
- Any closed interval of the real numbers contains its boundary points by definition and is, therefore, a closed set.
- The closed interval [1,4] contains the limit points 1 and 4 so it is a closed set.
Then number-line shows a closed dot at 4.5. This shows that x is a number that is less than or equal to 4.5.
Learn more about closed set
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Answer:
Acute and Equilateral
Step-by-step explanation:
The little dashes on the sides indicate congruent sides
Each side has a singular dash meaning that all the sides are congruent. If all the sides are congruent then all of the angles are congruent
The angles in an equilateral triangle are 60
An acute triangle angles are all less than 90
All of the angles in a equilateral triangle are less than 90 therefore this is an equilateral acute triangle