Answer:
Step-by-step explanation:
From the figure attached,
Coordinates of the vertices of the given rectangle ABCD,
A(3, 6), B(12, 6), C(12, 1) and D(3, 1)
Rule for the reflection of a point across x-axis,
(x, y) → (x, -y)
After reflection of the given rectangle across x-axis image points will be,
A(3, 6) → A'(3, -6)
B(12, 6) → B'(12, -6)
C(12, 1) → C'(12, -1)
D(3, 1) → D'(3, -1)
Now we can plot these points on the graph to get the image of rectangle ABCD.
Answer:
The expression is true.
Explanation:
We know that (a +b)(a-b) = a²-b²
So we have ,
Which is Right Hand Side given.
So, the expression is true.
The average rate of change of over the interval [3, 13] is given by the ratio
Height of building =60 feet (where woman is trapped)
distance of bottom of ladder from base of building = 40 feet
This makes a right angled triangle as shown in figure.
here hypotenuse =length of ladder
base = distance of bottom of ladder from base of building = 40 feet
perpendicular =Height of building =60 feet (where woman is trapped)
So here we can use Pythagoras theorem to find the length of ladder.
Hypotenuse² = base² + perpendicular²
height of ladder = √(60² +(40)² = √3600 +1600 = √5200
height of ladder = 72.1 feet
