Answer:
C. ±square root of 30
Step-by-step explanation:
Apply the square root function to both sides of the equation:
_____
The absolute value equation has two solutions. They match choice C.
Answer:
y = (x -5)² + 3.
Step-by-step explanation:
Given : parabola with a vertex at (5,3).
To find : Which equation has a graph that is a parabola.
Solution : We have given vertex at (5,3).
Vertex form of parabola : y = (x -h)² + k .
Where, (h ,k ) vertex .
Plug h = 5 , k= 3 in vertex form of parabola.
Equation :y = (x -5)² + 3.
Therefore, y = (x -5)² + 3.
Answer:
Options (1) and (5) are the correct options.
Step-by-step explanation:
See attachment for the complete question.
Simon's work,
Area of the base = B =
=32.5 m²
Volume = Bh = 32.5(12) = 390 m³
Let's check the error's he made.
Area of the base of the triangular prism
B =
B = 30 m²
Volume of the prism = (Area of the triangular base)×(Height)
V = 30 × 4
V = 120 m³
Therefore, Options (1) and (5) are the correct options.
Answer: 1 2/3
Step-by-step explanation:
A. The distance between the red ant and the black ant is five units.
To represent the red ant,
xr = 3 - t
yr = 2 + 2 t
zr = 6 + 2 t
To represent the black ant,
xb = t/2
yb = 2 + 3 t
zb = 2 + t
To calculate,
at t = 0
xb - xr = -3
yb - yr - 2-2 = 0
zb - zr = 2-6 = -4
Therefore,
d = √(9+16) = √(25) = 5
b. There will be no collision between the two ants.
To calculate,
3 - t = t/2
6 - 2t = t
6 = 3t
t = 2
If t = 2,
2 + 2*2 = 2 + 3*2
