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disa [49]
3 years ago
10

How can the equation of a parabola be derived when given the focus and the directrix

Mathematics
1 answer:
erica [24]3 years ago
7 0
If the focus<span> of a </span>parabola<span> is and the </span>directrix<span> is , find the</span>equation<span> of the </span>parabola. Let ( x 0 , y 0 ) be any point on theparabola. Find the distance between ( x 0 , y 0 ) and the focus. Then find the distance between ( x 0 , y 0 ) and directrix<span>.</span>
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0. ‘ Alex is making 12 pennants for i " the school fair The pattern he is using to is make the pennants is shown in the 1 The fa
Svetradugi [14.3K]

Answer: Total cost to make 12 pennants is $52.5.

Step-by-step explanation:

Since we have given that

There is a rectangle and a triangle.

Length of rectangle = 1 ft

Width of rectangle = 3 ft

So, Area of rectangle is given by

Area=Length\times Breadth \\\\Area=1\times 3\\\\Area=3\ ft^2

Base of triangle = 1 ft

Height of triangle = 1 ft

So, Area of triangle is given by

Area=\frac{1}{2}\times base\times height\\\\Area=\frac{1}{2}\times 1\times 1\\\\Area=\frac{1}{2}\ ft^2

So, Total area of the pennants will be

3+\frac{1}{2}\\\\=\frac{6+1}{2}\\\\=\frac{7}{2}\ ft^2

Number of pennants = 12

Cost per square foot of pennant = $1.25

So, Total cost for 12 pennants is given by

12\times \frac{7}{2}\times 1.25\\\\=\$52.5

Hence, Total cost to make 12 pennants is $52.5.

3 0
3 years ago
Read 2 more answers
I need help with number 13, PLEASE. Extra points!
gladu [14]

Answer:

90°, 270°

Step-by-step explanation:

2r sin(Ф/2) = c

2r sin (Ф/2) = √2r

divide both sides by 2r

sin (Ф/2) = √2r/2r

sin(Ф/2) = √2/2

From the unit circle sin is √2/2 at 45°, and 135°

so Ф/2 = 45

Ф=90°

and Ф/2 = 135

Ф= 270°

5 0
3 years ago
If 4x plus 7 equals 18, what is the value of 12x plus 21
8_murik_8 [283]

Answer:    54

--------------------

6 0
3 years ago
What does M equal in 4-m/2=10
Verizon [17]
Simplify both sides of your equation.

Subtract 4 from both sides.

Multiply both sides by 2(-1).

m = -12
3 0
3 years ago
Are the irrational numbers closed under addition?
Arte-miy333 [17]

Answer:

Irrational numbers are not closed under addition.

Step-by-step explanation:

Irrational numbers are the numbers that cannot be expressed in the form of a fraction \frac{x}{y}. In other words we can say that irrational number,s decimal expantion does not cease to end.

The closure property of addition in irrational numbers say that sum of two irrational number is always a rational number, But this is not true. It is not necessary that the sum is always irrational some time it may be rational.

This can be understood with the help of an example:

let (2+√2) and (-√2) be two irrational number. Their sum is (2+√2)+(-√2) = 2, which is clearly a rational number.

Hence, irrational numbers are not closed under addition.

4 0
3 years ago
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