The ratio of the sides EF/LM after the transformation is 1/8
<h3>
Transformation</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>rotation, translation, reflection and dilation.</em>
Dilation is the increase or decrease in size of a figure by a factor while translation is the movement of a point up, down, left or right.
Given the tansformation:
- (x,y) → (8x, 8y) → (x - 4, y - 4).
- This means a dilation of CDEF by 8 and translated 4 units down and 4 units left.
Hence:
LM = 8 * EF
EF/LM = 1/8
The ratio of the sides EF/LM after the transformation is 1/8
Find out more on transformation at: brainly.com/question/1548871
The solution to the equation are 5 or -1 after applying the quadratic formula.
<h3>What is a quadratic equation?</h3>
Any equation of the form
where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
It is given that:
x² - 4x² - 5 = 0
The above equation is a quadratic equation:
Using the quadratic formula:

Plug the values in the formula:

After solving:
x = 5 or -1
Thus, the solution to the equation is 5 or -1 after applying the quadratic formula.
Learn more about quadratic equations here:
brainly.com/question/17177510
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Answer:
The volume of the triangular pyramid
V = 566.66 in³
Step-by-step explanation:
<u><em>Step(i):-</em></u>
The volume of the triangular pyramid

Base area = Area of the triangle

Given the base of the triangle (b) = 17in
Given Height of the triangle (h ) =10 in

The base area of the pyramid ( A) = 85 in²
<u><em>Step(ii):-</em></u>
<u><em>Given the height of the pyramid (h) = 20in</em></u>
The volume of the triangular pyramid

The volume of the triangular pyramid
=
<u><em>Final answer:-</em></u>
The volume of the triangular pyramid
V = 566.66 in³
Answer:
DB = 8
Step-by-step explanation:
Δ ADB and Δ BDC are similar so ratios of corresponding sides are equal, that is
=
, substitute values
= 
=
( cross- multiply )
DB² = 64 ( take the square root of both sides )
DB =
= 8