Answer: area of the base = 32 m²
Step-by-step explanation:
Cylinder volume is the product of area of the base by height.
Then, area of the base = cylinder volume/height = 288m³/9m = 32 m²
Answer: area of the base = 32 m²
A reflection is a common type of transformation. To reflect a point across the<em> x-axis,</em> we consider this axis to be a mirror. On the other hand, if you want to reflect a point across the <em>y-axis, </em>you need to consider this axis to be a mirror. A coordinate grid is the <em>rectangular coordinate system</em>. Just as we can represent real numbers by points on a real number line, we can represent ordered pairs of real numbers by points in a plane called the <em>rectangular coordinate system</em>, or <em>the Cartesian plane</em>. So:
<h2>1. Point B.</h2>
If you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate changes into its opposite. So, if we have a point , the reflection of this point across the x-axis is the point . Finally, our point A changes into:
Point B:
<h2>2. Point C.</h2>
If you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate changes into its opposite. So, if we have a point , the reflection of this point across the y-axis is the point . Finally, our point A changes into:
Point C:
_____________________
<h3><em>Below are illustrated all these points in the coordinate grid.</em></h3>
Answer: y - 1 = (x - 6)
<u>Step-by-step explanation:</u>
Point-Slope form: y - y₁ = m(x - x₁) <em>where m is slope and (x₁, y₁) is the point</em>
m = (x₁, y₁) = (6, 1)
y - 1 = (x - 6)
Answer:
3/26
Step-by-step explanation:
The face cards are: Jack, Queen, and King. There are only three face cards for each of the 4 suits.
Among the 4 suits, two of them are red: diamonds and hearts. And, each of these two has 3 faces. That means that in a deck of 52 cards, there are 2 * 3 = 6 cards that are both red cards and face cards.
Probability is (# times specific event can occur) / (# times any general event will occur).
Here, the specific event is drawing a card that is both red and a face card (of which there are 6 ways), and the general event is drawing a card (of which there are 52 ways):
P(draw a card that is both red and a face card) = 6/52 = 3/26