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Natali [406]
3 years ago
11

Write the formula for the parabola.

Mathematics
1 answer:
Talja [164]3 years ago
3 0

Answer:

Given the focus (h,k) and the directrix y=mx+b, the equation for a parabola is (y - mx - b)^2 / (m^2 +1) = (x - h)^2 + (y - k)^2.

Step-by-step explanation:

You might be interested in
The vertex of this parabola is at (-5, -2). When the x-value is -4, the y-value is 2. What is the coefficient of the squared exp
Montano1993 [528]

Answer:

The coefficient of the squared expression in the parabola equation is a=4

Step-by-step explanation:

The equation of a parabola in its vertex form is:

y = a(x-h) ^ 2 + k

Where the vertex of the parabola is the point (h, k)

a is the ceoficiente of the term to the square.

We need to find the equation of a parabola that has its vertex in the point:

(-5, -2)

So:

h = -5\\\\k = -2

Therefore the equation is:

y = a(x - (-5)) ^ 2 -2\\\\y = a(x + 5) ^ 2 -2

We know that the point (-4, 2) belongs to this parable. Then we can find the value of a by replacing the point in the equation of the parabola

(2) = a((-4) + 5) ^ 2 -2\\\\2 = a(1) ^ 2 -2\\\\2 = a -2\\\\a = 4

Finally the coefficient is a = 4

7 0
3 years ago
Evaluate the expression, 7x+8(x-3). Assume that x=4.
NNADVOKAT [17]

Answer:

if x was 4 then the answer would be 36.

Step-by-step explanation:

28+8(4−3)

=28+(8)(1)

=28+8

=36

8 0
3 years ago
Y=2/x-3 make x the subject​
svp [43]
Multiply both sides by x - 3 to get :

y(x - 3) = 2

yx - 3y = 2

yx = 2 + 3y

x = (2 + 3y)/y

Hope this helps! Any questions let me know :)
7 0
3 years ago
5.
stellarik [79]

Answer:

c.

Step-by-step explanation:

Move the constant to the right side and the sign

0.5x=26-6

Calculate

0.5x=26-6=20 >>> 0.5x=20

divide both sides of by the equation 0.5

0.5x=20 >>> x=40

4 0
3 years ago
Please help me with this questions
zalisa [80]
He messed up step 2 he added instead of multiplying
4 0
3 years ago
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