To find the perimeter you just add up all the numbers on the sides
Area for a square is base times height
Area for a triangle is 1/2 base times height
4 (3x+9)-3(5y+7) =11
distribute
12x +36 -15y -21 =11
12x -15y +15 =11
subtract 15 from each side
12x -15y =-4
subtract 12x from each side
-15y= - 12x-4
divide by -15
y = -12/-15 x -4/-15
y = 4/5 x + 4/15
slope = 4/5
y intercept = 4/15
Answer:
The vertex is the point
Step-by-step explanation:
we know that
The equation of the absolute value in vertex form is equal to

where
a is a coefficient
(h,k) is the vertex
In this problem we have
so
---> the vertex represent a maximum


therefore
The vertex is the point
Answer: the bridge is 11.025 m high
Step-by-step explanation:
Given that;
Time taken to hit the water t = 1.5 sec
height of bridge = ?
lets take a look at the equation of motion;
y(t) = y₀ + (1/2)at²
with initial velocity zero and we know that acceleration due to gravidity is 9.8m/s
we substitute
y(t) = (1/2)gt² = (1/2) × 9.8 × (1.5)²
y(t) = (1/2)gt² = (1/2) × 9.8 × (1.5)²
y(1.5) = 11.025 m
Therefore, the bridge is 11.025 m high