Answer:
- 6 m/s
Step-by-step explanation:
The rate of change is a measure of the slope and can be calculated using the slope formula
m = 
with (x₁, y₁ ) = (2, 78) and (x₂, y₂ ) = (10, 30) ← 2 points on the line
m = 
= 
= - 6
Rate of change is - 6 m/s
Answer:
45 meters
Step-by-step explanation:
Perimeter of the triangle is the sum of the 3 lengths of the traingle. Since the ratio of the sides is 4:6:9, let the shortest side be 4 units, the longest side be 9 units and the 3rd side be 6 units.
Units is represented as u.
Sum of all 3 sides= 95 m
4u +6u +9u= 95
19u= 95
u= 95 ÷19
u= 5 meters
Longest side= 9 units
Length of the longest side= 9(5) = 45m
36100/36789=0.9812715757427492
Answer:
= 270 ⇒ Last answer
Step-by-step explanation:
* If f(x) = 7 + 4x
* If g(x) = 
* We want to find
- Lets find at first 
∵ f(x) = 7 + 4x
∵ g(x) =
∴ 
- Lets divide the numerator by the denominator
∵ The numerator is 7 + 4x
∵ The denominator is
∴ (7 + 4x) ÷
- Lets reverse the division sign to multiplication sign and reciprocal
the fraction after the division sign
∴ (7 + 4x) × 
∴ = 2x(7 + 4x)
∴ = 14x + 8x²
- Now substitute x by 5
∴ = 14(5) + 8(5)² = 70 + 200 = 270
∴ = 270
Answer:
The vertex is ( -4,1)
Step-by-step explanation:
The equation for a parabola can be written as
y = a( x-h)^2 +k where ( h,k) is the vertex
y = 2
(x + 4)² + 1
Rewriting
y = 2
(x - -4)² + 1
The vertex is ( -4,1)
