Good evening
Answer:
<h2>(0 , 5) and (0 , 11)</h2>
Step-by-step explanation:
Suppose M(x , y) is a point of the circle of center (6,3) and radius 10 and M is also a point of the y-axis then the coordonates of M should verify these two equations at the same time:
Then
(0-6)² + (y-3)² = 100
then
36 + (y-3)² = 100
then
(y-3)² = 100 - 36
= 64
then
|y-3| = 8
then
y - 3 = 8 or y - 3 = -8
then
y = 11 or y = 5
then the only points that are on the edge of the circle and on y-axis are:
(0 , 5) and (0 , 11).
:)
To get the product of (3a + 2) and (4a² - 2a + 9), we can apply the rules of distribution over multiplication and have
3a(4a² - 2a + 9) + 2(4a² - 2a + 9)
12a³ - 6a² + 27a + 8a² - 4a + 18
Adding like terms of the same degree, we can simplify it into
12a³ + 2a² + 23a + 18
Therefore, the answer is D<span>.
</span>
Answer:
Part A: Describe how you can decompose this shape into triangles: If you draw a line from each vertex to the vertex at the opposite side of the hexagon, you will form 6 triangles.
Part B: What would be the area of each triangle: 62.4
Part C: Using your answers above, determine the area of the table's surface: 374 .4
Step-by-step explanation:
Part A: Describe how you can decompose this shape into triangles: If you draw a line from each vertex to the vertex at the opposite side of the hexagon, you will form 6 triangles.
Part B: What would be the area of each triangle: bxh /2
12 x 10.4 /2
Part C: Using your answers above, determine the area of the table's surface: 374.4
You would have to put 21.3 on top and 1.9 under it. then you would have to borrow the number. the answer would be 19.4