Answer:
(-4 , 1)
Step-by-step explanation:
We know that the turning point of any parabola is in its vertex. The x of the vertex can be calculated with the formula:
x = -b/2a
In our case b = 8, a = 1, so:
x = - 8/2 = -4
We plug this value into our original equation and find the y of the vertex:
(-4)^2 + 8(-4) + 17 = 16 - 32 + 17 = 1
Vertex = (-4 ; 1)
GEF
The middle point aka the E has to be in the middle and then the first and last points don’t matter
cuboid=3*3*5 [i.e l*b*h]
LCM of 3,5=15
i.e 15cm is the dimension of the final cube.
therefore cuboid required across length=15/3=5
similarly, across breadth=15/3=5
similarly, across height=15/5=3
Therefore total no of cuboid=5*5*3=75
So to find the answer you have to know what the mixture is, what the trend is,
on day one he used 4 cans of blue and 6 cans of yellow
day two, 6 blue and 9 yellow
both are divisible by 2 and 3 respectively, additionally when you divide the number of blue cans Marc used by the number of yellow cans each day you get a sum of .66
those are the trends
so therefore day three would have the same trend.
Now on day three Marc will have 4 cans of blue paint and 5 cans of yellow paint remaining, what I did here to find the answer was divide numbers under 4 and 5 until I got a division problem that equaled .66
my answer was 2 blue cans and 3 yellow.
The answer is that on day three the highest number of cans that Marc can mix to get his favorite shade of green is 2 blue and 3 yellow
#18
The base area is 14 in ²
The volume is 30.8 in ³
For a prism of any cross-sectional area,
Volume = base area * height
=>
30.8 = 14 * height
Solve for height
Height = 30.8/14 = 2.2 inches.
Ans. Joseph has to make the box 2.2 inches high.
19. Hexagonal prism
Given
Cross section area = 17.01 m ²
Height = 16.2 m
Using above formula for volume,
Volume = 17.01 m ² * 16.2 m
=275.562 m ³
Answer: The volume of stone is 275. 56 m ³ approximately.