Answer:
C) 4.01
Step-by-step explanation:
When rounding to 2dp, you look at the third digit after the decimal. If it is 5 or larger, you round the second digit up, if it is less than 5, you round it down.
Answer:
150
Step-by-step explanation:
1) the full volume of the given pyramide may be calculated according to the formula:
V=1/3 *Area_of_base*height;
V=1/3 *(5*15)*12=300 (in³).
2) the half of the calculated volume is:
300/2=150 (in³)
Question:
Find numbers a and k so that x-2 is a factor of
and
Answer:
and 
Step-by-step explanation:
Given
Required
Find a and k
For
Substitute -1 for x
Substitute 3 for f(-1)
Collect Like Terms
Also:
If 
is a factor, then
Substitute 2 for x and 0 for f(x)
Collect Like Terms
Substitute 12a - 14 for k in
Collect Like Terms
Solve for a
Substitute 1 for a in
The coordinates of point S are (2,-2)
Answer:
Step-by-step explanation:
Alternate forms:
x^2 + y (y + 4) = 5
x^2 + y^2 + 4 y - 5 = 0
Solutions:
y = -sqrt(9 - x^2) - 2
y = sqrt(9 - x^2) - 2
Integer solutions:
x = ± 3, y = -2
x = 0, y = -5
x = 0, y = 1
Implicit derivatives:
(dx(y))/(dy) = -(2 + y)/x
(dy(x))/(dx) = -x/(2 + y)
