Then the inverse<span> is y = </span>(x + 2)<span> / </span>3<span>.</span>
Answer:
Q1: 2nd row 2nd tile
Q2: 1st row 1st tile
Q3: 1st row 3rd tile
Q4: 2nd row 3rd tile
Step-by-step explanation:
When
Vertex is (-p, q)
Answer:
5
Step-by-step explanation:
Natalie
100 + 10x
Her sister
25 + 25x
Where
x = number of months
Equate Natalie and her sisters equation
100 + 10x < 25 + 25x
100 - 25 < 25x - 10x
75 < 15x
Divide both sides by 15
x < 75 / 15
x < 5
Answer:
z-4
Step-by-step explanation:
z(5z²-80) ÷ 5z(z+4) = z-4
Step-by-step explanation:
Given: z(5z²-80) ÷ 5z(z+4)
Calculation:
First we factor numerator z(5z²-80)
Take out 5 from 5z²-80 and we get 5z(z²-16)
Now we factor 16 = 4²
5z(z²-4²)
Using formula, (a²- b²)=(a+b)(a-b)
5z(z²- 4²)⇒5z(z+4)(z-4)
Simplified fraction
5z(z+4)(z-4) ÷ 5z(z+4)
Cancel like factor from numerator and denominator
⇒ z-4
Thus, z(5z²-80) ÷ 5z(z+4) = z-4
Answer:
Step-by-step explanation:
Let
A(-5,5),B(-2,-4) ----> the given segment
step 1
Find the slope AB
The formula to calculate the slope between two points is equal to
substitute the given values
step 2
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of the slopes is equal to -1)
so
the slope of the perpendicular bisector is equal to
we have
substitute
step 3
Find the midpoint segment AB
A(-5,5),B(-2,-4)
The formula to calculate the midpoint between two points is equal to
substitute the values
step 4
Find the equation of the line in point slope form
we have
substitute
step 5
Convert to slope intercept form
isolate the variable y
simplify
see the attached figure to better understand the problem