Answer: the third one
Step-by-step explanation:
Answer:
Carlos graphed the perpendicular bisector of the segment that joins the two points. (a line)
Step-by-step explanation:
Carlos graphed the set of points that are equidistant from both point A and point B.
Carlos graphed the perpendicular bisector of the segment that joins the two points. (a line)
Answer:
The zeroes in this equation are -5, -4, and 5
Step-by-step explanation:
In order to find these, you need to factor by splitting. For this, we separate out the two halves of the equation and pull out the greatest common factor of each. Let's start with the front end.
r^3 + 4r^2
r^2(r + 4)
Now the second half.
-25r - 100
-25(r + 4)
Since what is left in the parenthesis are exactly the same, we can use that parenthesis next to one with what we pulled out.
(r^2 - 25)(r + 4)
And we can further factor the first parenthesis using the difference of two squares
(r^2 - 25)(r + 4)
(r + 5)(r - 5)(r + 4)
Now that we are fully factored, set each parenthesis equal to 0 and solve for x.
r + 5 = 0
r = -5
r - 5 = 0
r = 5
r + 4 = 0
r = -4
Answer:
no
Step-by-step explanation:
Answer:
(b) x ≤ -4
Step-by-step explanation:
There are a few things to note when reading an inequality on a number line.
The number line would contain the following:
i. <em>circles</em>: These can be closed or open. Closed circles are denoted by a shaded small circle showing that the point or number shown on the number line is included in the inequality. Open circles are denoted by an unshaded small circle showing that the point or number shown on the number line is not included in the range of inequality.
ii. <em>arrows</em>: An arrow can point to the right or left. When it points to the right, that means the values greater than the number specified on the number line are included in the range. When it points to the left, the values less than the number are included.
From the given number line,
The type of circle is a closed circle since it is shaded. This means that the number pointed at on the number line (-4 in this case) is included in the range.
Also, the arrow is pointing leftwards. This means that values less than the number pointed at (-4 in this case) are included in the range.
Therefore, the inequality should read,
x ≤ -4
This shows that all values of x less than or equal to -4 are included in the range.
