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3 years ago

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:

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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

stellarik [79]

Answer:

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