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3 years ago

9

Please help Geometry!!?

2 answers:

erastovalidia [21]3 years ago

4 0

It’s either one of the last 2

galben [10]3 years ago

3 0

I believe D, but I am unfamiliar with this particular terminology

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Derive the equation of the parabola with a focus at (−5, 5) and a directrix of y = −1. (2 points)

love history [14]

The focus is above the directrix, so the parabola opens upward—its vertical scale factor is positive (+1/12). The line of symmetry is x=-5, so the vertex form of the equation will have the factor (x -(-5))² = (x+5)². The choice that meets both these requirements is
D. f(x) = (1/12)(x + 5)² + 2

3 0

3 years ago

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

Put the following equation of a line into slope-intercept form, simplifying all fractions. 3x + 2y = 14

igomit [66]

Answer:

<u>Hope this helps :-) Answer in black and green (the typed one came out a little small)</u>

Step-by-step explanation:

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3 years ago

7. The vertices of a triangle are P(-7, -1). Q(-7, -8), and R(3. -3). Name the vertices of the

Vikentia [17]

After a reflection across line y=x the vertices of triangle P’Q’R’ are as follows
P’= (-1,-7)
Q’= (-8-7)
R’= (-3,3)

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3 years ago

River C is 400 miles longer than River D. If the sum of their lengths is 5,590 miles, what is the length of each river?

pychu [463]

Answer:

River C is: 2,965 miles long.

River D is: 2,565 miles long.

Step-by-step explanation:

$C=400+D\\C+D=5530$

Have a great day! ^^

7 0

3 years ago