We have x^2 + 2 · x · (11/2) + (11/2)^2 = - 24 + (11/2)^2;
Then, ( x + 11/2 )^2 = -24 + 121/4;
( x + 11/2 )^2 + 96/4 - 121/4 = 0;
( x + 11/2 )^2 - 25 / 4 = 0;
( x + 11/2 )^2 - (5/2)^2 = 0;
( x + 11/2 - 5/2)·( x + 11/2 + 5/2 ) = 0;
( x + 6/2 )·( x + 16/2 ) = 0;
( x + 3 )· ( x + 8 ) = 0;
x = - 3 or x = -8;
The first choice is the correct answer.
Step-by-step explanation:
an object and its shadow create a right-angled triangle.
2 objects and their shadows at the same time create therefore two similar right-angled triangular
triangles.
that means the angles are the same, and each side length of one triangle correlates to the corresponding side length of the other triangle by the same factor.
so, when we know the factor of one pair of sides, we can calculate the lengths of the others by using the same factor.
therefore,
1.57 × f = 50.5
f = 50.5 / 1.57 = 32.1656051...
the height of the tower is then
3.1 × f = 3.1 × 32.1656051... = 99.7133758... m ≈ 100 m
2 cm = 8 feet.
4 / 2 = 2. 8 * 2 = 16. 16 feet in width.
Now, the length:
6 / 2 = 3. 8 * 3 = 24. 24 feet in length.
The actual dimensions are 16 feet in width and 24 feet in length.
Here we can use fact than we can multiply fraction by inverse of fraction instead of dividing it.
Inverse of 1/3 is 3/1
Lets multiply it

- its our result