64 questions are on the test
Answer: The answer is x = 6 units.
Step-by-step explanation: Please refer to the attached diagram
The diagram in the question shows two triangles placed on each other and for convenience sake has been labelled ABDCE. Triangle ABC is a right angled triangle, and so is triangle ADE. From the marks on the lines, we can infer that line AD is equal in measurement to line DB. Also line AE is equal in measurement to line EC.
Therefore we can see the similarity in both triangles, if AD and AE equals DB and EC, then it follows that DE equals BC.
Hence if AD = DB and
AE = EC, and
DE = BC
Then, x - 3 = ½x
(½x can also be expressed as x/2)
x - 3 = x/2
By cross multiplication we now have
2(x - 3) = x
2x - 6 = x
By collecting like terms we now have
2x - x = 6
x = 6
Answer:
A parabola is the set of all points equidistant from the directrix and focus.
The line of symmetry intersects the focus and directrix
The line of symmetry and the directrix are perpendicular
Step-by-step explanation:
A parabola is the set of all points in a plane that are equidistant from a fixed point (focus) and a line (directrix).
The fixed line of a parabola is known as the directrix of the parabola.
The line of symmetry is a line that passes through the focus and is perpendicular to the directrix. The line of symmetry divides the parabola.
The directrix of a parabola does not intersect touch the parabola
Answer:
No.
Step-by-step explanation:
It is not because 20 is not a perfect square.
Answer:
- length: 30 ft
- width: 10 ft
Step-by-step explanation:
The description of the garden fits that of 3 squares arranged side-by-side. The area of each of those would be 100 ft², so their side length would be ...
s = √A= √(100 ft²) = 10 ft
This dimension is the width of the garden, whose length is 3 times this amount.
The length and width of the garden are 30 ft and 10 ft, respectively.
