Answer:
C. y= 3(x + 2)^2 + 2
Step-by-step explanation:
A. Rewrite in vertex form and use this form to find the vertex
(
h
,
k
)
.
(
2
,
−
2
)
B. Rewrite in vertex form and use this form to find the vertex
(
h
,
k
)
.
(
−
2
,
2
)
C. Rewrite in vertex form and use this form to find the vertex
(
h
,
k
)
.
(
−
2
,
2
)
D. Rewrite in vertex form and use this form to find the vertex
(
h
,
k
)
.
(
2
,
2
)
8^3 = 512
8^3 also eqauls 8 x 8 x 8.
I hope I helped!
Answer: 97
Step-by-step explanation: The first 25 prime numbers (all the prime numbers less than 100) are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 (sequence) just if you need all the primes
Answer:
Note that orthogonal to the plane means perpendicular to the plane.
Step-by-step explanation:
-1x+3y-3z=1 can also be written as -1x+3y-3z=0
The direction vector of the plane -1x+3y-3z-1=0 is (-1,3,-3).
Let us find a point on this line for which the vector from this point to (0,0,5) is perpendicular to the given line. The point is x-0,y-0 and z-0 respectively
Therefore, the vector equation is given as:
-1(x-0) + 3(y-0) + -3(z-5) = 0
-x + 3y + (-3z+15) = 0
-x + 3y -3z + 15 = 0
Multiply through by - to get a positive x coordinate to give
x - 3y + 3z - 15 = 0
Answer:
The solution is y> -1
Step-by-step explanation:
y- 6 > -7
y> -7+6 (add 6 on both sides)
y> -1
The graph should the the first option from the right, with the dot above -1.
Since y is greater than -1, the dot should be on -1 and the arrow should be pointing towards the right. It shouldn't be a coloured dot because the sign is 'greater than' (>) not 'greater or equal to' (≥)
