Answer:
(x - 3)² + (y - 5)² = 16
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r the radius
given (h, k ) = (3, 5 ) we require to find r
r is the distance from the centre to a point on the circle
given x = - 1 is a tangent the r is the distance between the x- coordinates
r = | 3 - (- 1) | = | 3 + 1 | = | 4 | = 4
then equation of circle is
(x - 3)² + (y - 5)² = 4² , that is
(x - 3)² + (y - 5)² = 16
Answer:
C, f(x) = 2x + 6
Step-by-step explanation:
First, we need to plug in the values of the x coordinates and see if it matches with the y coordinate to determine if it is on the same line. Startin with 2x + 8, we have the point (1, 8) on the graph. Plugging in 1 gets you 10 for the y. This is wrong since 8 is the y coordinate. Moving on, we have 6.4(1.25)^x for the same point. Plugging in 1, we have 6.4 * 1.25 = 8, which is true. Moving on to the second point, (2, 10), we have 1.25 squared times 6.4. This is thus wrong. So, moving on to 2x + 6, we have the point (1, 8), and plugging in 1 for x, we have 8 as y. Since this satisfies the equation we move on to the next point, (2,10). Plugging in x, we have 2 * 2 + 6 = 10, which is also true. Moving on to our third point (3 , 12), we plug in 3 for x. We then get 3 * 2 + 6 = 12, which is correct. This, is our answer then.
12 for the first one, 6*4=24 24 divided by 2
Answer:
<em>40</em>
Step-by-step explanation:
Given that:
Number of options available for transmission = 2 (Standard or Automatic)
Number of options for doors = 2 (2 doors or 4 doors)
Number of exterior colors available = 10
To find:
Total number of outcomes = ?
Solution:
First of all, let us calculate the number of outcomes for the transmission mode and number of doors options.
1. Standard - 2 doors
2. Standard - 4 doors
3. Automatic - 2 doors
4. Automatic - 4 doors
Number of outcomes possible = 4 (which is equal to number of transmission mode available multiplied by number of doors options i.e. 2
)
Now, these 4 will be mapped with 10 different exterior colors.
Therefore total number of outcomes possible :
Number of transmission modes 
Number of doors options Number of exterior colors
2 2 10 = <em>40</em>
Answer:
I think the equation is written as 3r + 2.5p, where r is the number of roses and p is the number of petunias. To find the total cost, substitute 777 to r and 888 to p. The total cost would then be:
Total Cost = 3r + 2.5p
Total Cost = 3(777) + 2.5(888)
Total Cost = 4551
The total cost would be $4,551.
