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Oliga [24]
3 years ago
12

What is the equation of the quadratic graph with a focus of (−4, seventeen eighths ) and a directrix of y = fifteen eighths

Mathematics
1 answer:
Lunna [17]3 years ago
5 0
Standard form for a parabola:
( x - h )² = 4 p ( y - k )
Vertex: ( h, k ) = ( -4, 2 )
Displacement from vertex to focus:
p = 2/8 = 1/4
( x + 4 )² = 4 · 1/4 ( y - 2 )
y = ( x + 4 )² + 2
or general form: 
x² + 8 x - y + 18 = 0 
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Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for t
ollegr [7]

Answer:

<u>The expression to describe this sequence is Aₙ =  (n - 1) * 1  - 6</u>

Step-by-step explanation:

1. Let's write an expression to describe the sequence which first four terms are as follows:

- 6, -5, -4, - 3.....

Aₙ = (n - 1) * 1  - 6; A₁ = - 6

A₁ = (n - 1) * 1  - 6 = (1 - 1) * 1  - 6 = 0 * 1 - 6 ⇒A₁ = - 6

A₂ = (n - 1) * 1  - 6 = (2 - 1) * 1  - 6 = 1 * 1 - 6⇒ A₁ = - 5

A₃ = (n - 1) * 1  - 6 = (3 - 1) * 1  - 6 = 2 * 1 - 6⇒ A₁ = - 4

A₄ = (n - 1) * 1  - 6 = (4 - 1) * 1  - 6 = 3 * 1 - 6⇒ A₁ = - 3

A₅ = (n - 1) * 1  - 6 = (5 - 1) * 1  - 6 = 4 * 1 - 6⇒ A₁ = - 2

A₆ = (n - 1) * 1  - 6 = (6 - 1) * 1  - 6 = 5 * 1 - 6⇒ A₁ = - 1

A₇ = (n - 1) * 1  - 6 = (7 - 1) * 1  - 6 = 6 * 1 - 6⇒ A₁ = 0

5 0
3 years ago
What is the slope of a line that passes through the point (4,5) and (-6,-3)​
Mkey [24]
M= y1-y2/x1-x2

m= 8/10

m= 4/5
5 0
3 years ago
Simplifying radicals
nexus9112 [7]

Answer:

its easy just do 7 times 145 wich is

Step-by-step explanation:

1015

8 0
3 years ago
Expand and simplify 2(5x + 3) - 2(2x - 3)
notka56 [123]

Answer: It is 6x+12

Step-by-step explanation: Distribute 2 to the parenthesis, then do the same at the second parenthesis, 10x+6-4x+6, combine like terms, 10x-4x and +6+6, so 6x+12 is the final result.

3 0
3 years ago
Find the sum of the measure of the interior angles of a 22-gon
Anna11 [10]
The formula for finding the interior angle sum of any polygon is (n - 2) x 180 where n is the number of sides, so...
(22 - 2) x 180 = 20 x 180 = 3,600 so the interior angles of a 22 sided polygon sum to 3,600 degrees.
Hope this helps :)
4 0
3 years ago
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