Answer:
12
Step-by-step explanation:
In a triangle, shortest side has the shortest angle opposite to it.
As 6 is the shortest side angle opposite to it is 30.
Let the hypotenuse be h.
h*sin(30) = 6
h*(1/2) = 6
h = 12
When the graph rises one square for a run of one square, the slope is 2 km/(0.5 h) = 4 km/h. When the graph rises half that fast, the slope is 2 km/h. When the graph is horizontal, the slope is 0. The slope of the distance vs time curve is the speed.
- S = 4 km/h, when 0 < t < 2 h
- S = 0, when 2 h ≤ t < 2.5 h
- S = 4 km/h, when 2.5 h ≤ t < 3 h
- S = 0, when 3h ≤ t < 4 h
- S = 2 km/h, when 4 h ≤ t < 5 h
Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h. k) are the coordinates of the vertex and a is a multiplier
here (h, k) = (- 6, - 1), thus
y = a(x + 6)² - 1
To find a substitute one of the roots into the equation
Using (- 3, 0), then
0 = a(- 3 +6)² - 1
0 = 9a - 1 ( add 1 to both sides )
1 = 9a ( divide both sides by 9 )
a = 
, thus
y = (x + 6)² - 1 ← in vertex form
Expand factor and simplify
y = (x² + 12x + 36) - 1 ← distribute
y = x² + 
x + 4 - 1
= x² + x + 3 ← in standard form
-7x-2y=-13
x= 2y+11 make x or why the subject and substitute it into the first equation.
-7(2y+11)-2y=-13
-14y-77-2y=-13
-16y=64
y=-4
x=-2×-4+11
x=3
