Answer:
Step-by-step explanation:
The equation of a horizontal parabola in the standard form:
(h, k) - vertex
if a > 0, then open right
if a < 0, then open left
We have the vertrex (-1, -3) and the parabola is open left (a < 0).
Therefore the equation of a given parabola could be:
Answer:
see explanation
Step-by-step explanation:
Using the rules of exponents
• 
⇔ 
• 
= 1
• 
× 
⇔ 
Given
(a)
= 
(b)
= 3³
(c)
× 
× 
= 
× 1
= 
= 
We are given equations as
Firstly, we will write in slope intercept form of line
y=mx+b
Subtract both sides by 4x
now, we can divide both sides by a
we can find slope
so, we get
we are given second equation as
Firstly, we will write in slope intercept form of line
y=mx+b
divide both sides by a
we can find slope
we are given both lines are perpendicular
so, the multiplication of their slopes must be -1
we can plug values
now, we can solve for a
Multiply both sides by a
now, we can solve for a
we get
...............Answer
3. Greater than
Median is the middle number of the data set. But in this senario, there are 2 numbers in the middle. So you can take 4+5/2=4.5
To find Mean, you can must take all the numbers in the data set divided by the number of data collected.
In this case, (3+3+4+5+5+9)÷6
You will find that the mean is greater than the median.
Answer:The first one is 2.333333333
Step-by-step explanation:Simplifying
5(2 + -1j) + (2j + -3) = 0
(2 * 5 + -1j * 5) + (2j + -3) = 0
(10 + -5j) + (2j + -3) = 0
Reorder the terms:
10 + -5j + (-3 + 2j) = 0
Remove parenthesis around (-3 + 2j)
10 + -5j + -3 + 2j = 0
Reorder the terms:
10 + -3 + -5j + 2j = 0
Combine like terms: 10 + -3 = 7
7 + -5j + 2j = 0
Combine like terms: -5j + 2j = -3j
7 + -3j = 0
Solving
7 + -3j = 0
Solving for variable 'j'.
Move all terms containing j to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + -3j = 0 + -7
Combine like terms: 7 + -7 = 0
0 + -3j = 0 + -7
-3j = 0 + -7
Combine like terms: 0 + -7 = -7
-3j = -7
Divide each side by '-3'.
j = 2.333333333
Simplifying
j = 2.333333333
