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erica [24]
3 years ago
5

A parabola has a vertex at (0,0). The focus of the parabola is located on the positive x-axis. Which part of the graph will the

directrix pass through? the origin the negative part of the x-axis the positive part of the x-axis the negative part of the y-axis

Mathematics
2 answers:
romanna [79]3 years ago
7 0
<span> the negative part of the x-axis</span>
Mashutka [201]3 years ago
3 0

Answer with explanation:

→→Information given about Parabola

Vertex of the Parabola = (0,0)

Focus is located on the positive x- axis.

Definition of Parabola: A parabola is locus of all the points such that distance from a fixed point known as focus to distance from a fixed line called, Directrix  is always constant.

Let focus of the parabola be (k,0), where , k>0.

Distance between vertex (0,0) and focus(k,0) = Distance between vertex (0,0) and point on negative x-axis (-k,0).

Directrix will pass through point (-k,0).

So, equation of Directrix will be, x= -k

Directrix will pass through

Option B: The Negative part of the x -axis.

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Step-by-step explanation:

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Calculate (A⃗ ×B⃗ )⋅C⃗ for the three vectors A⃗ with magnitude A = 5.08 and angle θA = 25.6 ∘ measured in the sense from the +x
alexgriva [62]

Answer:

(A⃗ ×B⃗ )⋅C⃗ = - 76.415

Step-by-step explanation:

First we need to calculate (A⃗ ×B⃗ ) :

(A⃗ ×B⃗ ) = A.B.sin (α).n

Where A is the magnitude of A⃗

Where B is the magnitude of B⃗

Where α is the angle between A⃗ and B⃗ = 63.9 - 25.6 = 38.3

Finally n is the vector orthogonal to A⃗ and B⃗

n magnitude is 1 and his direction is given by the right hand-rule

so n = ( 0 , 0 , 1 )

(A⃗ ×B⃗ ) = A.B.sin (α).n = 5.08 . 3.94 . sin (38.3) . (0 , 0 , 1 ) = (0,0,12.4)

C⃗ can be written as C.(0,0,-1) because of his +z - direction

C.(0,0,-1) = 6.16.(0,0,-1) = (0,0,-6.16)

(A⃗ ×B⃗ )⋅C⃗ = (0,0,12.4).(0,0,-6.16) = -76.41480787 = -76.415

8 0
3 years ago
A right square pyramid has a slant height of 10 feet, and the length of a side
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Step-by-step explanation:

take the base square. find the diagonal

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Marta_Voda [28]

Answer:

choose "infinitely more solutions"

Step-by-step explanation:

Let's solve this system by substitution method

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- 1 = - 1

y = 2x -1   <-- sbstitute this in the next equation

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

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4 0
3 years ago
Read 2 more answers
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