Answer:
6. B
7. C
8. B
Step-by-step explanation:
3√5
The distance between two points on an XY plane is calculated using the distance formula, which is employed in coordinate geometry or Euclidean geometry. The x-coordinate, often known as the abscissa, is a point's separation from the y-axis. The y-coordinate, often known as the ordinate, refers to a point's separation from the x-axis. A point on the x-axis has coordinates of the form (x, 0), and a point on the y-axis has coordinates of the form (0, y). We utilize the Pythagoras theorem in this case to determine the separation between any two points in a plane.
Distance formula = √ ( x₁ - x₂)² + ( y₁ - y₂)²
= √ 6² + 3²
=3√5
To learn more about distance formula, refer to brainly.com/question/7243416
#SPJ9
Answer:
Step-by-step explanation:
Our inequality is |125-u| ≤ 30. Let's separate this into two. Assuming that (125-u) is positive, we have 125-u ≤ 30, and if we assume that it's negative, we'd have -(125-u)≤30, or u-125≤30.
Therefore, we now have two inequalities to solve for:
125-u ≤ 30
u-125≤30
For the first one, we can subtract 125 and add u to both sides, resulting in
0 ≤ u-95, or 95≤u. Therefore, that is our first inequality.
The second one can be figured out by adding 125 to both sides, so u ≤ 155.
Remember that we took these two inequalities from an absolute value -- as a result, they BOTH must be true in order for the original inequality to be true. Therefore,
u ≥ 95
and
u ≤ 155
combine to be
95 ≤ u ≤ 155, or the 4th option
Answer:
See explanation.
Step-by-step explanation:
The 'base' of a rectangular prism refers to only one side of the rectangular prism, which is a rectangle.
The formula for the area of a rectangle is as follows:
Where A = area, l = length, and w = width.
The 'base' of a cylinder refers to only one side of the cylinder, which is a circle.
The formula for the area of a circle is as follows:
Where A = area and r = radius.
Just in case you typed your question incorrectly and were asking for surface area, here is the formula for surface area for both as well:
Rectangular prism: 
Cylinder: 
