Answer: (-4,-8)
Step-by-step explanation: I got a 100% on the quiz
We are asked in this problem the surface area of the prism given the dimensions: <span>9mm by 12mm by 8mm. Surface area is the sum of the areas of each face of the prism. The formula for surface area is 2*lw+2*lh+ 2*wh. In this case, upon substitution, SA = 2*9*12+2*9*8+2*12*8 equal to a total of 552 mm2. </span>
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.
Answer: 9 & 7
Step-by-step explanation: 9(2)=18 18+7=25
Answer:
center = (-2, 6)
radius = 6
Step-by-step explanation:
<u>Equation of a circle</u>
(where (a, b) is the center and r is the radius)
Therefore, we need to rewrite the given equation into the standard form of an equation of a circle.
Given equation:
Collect like terms and subtract 4 from both sides:
Complete the square for both variables by adding the square of half of the coefficient of 
and 
to both sides:
Factor both variables:
Therefore:
- center = (-2, 6)
- radius = √36 = 6
