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Kruka [31]
3 years ago
10

Which of the following is the quotient of the rational expressions shown

Mathematics
2 answers:
marishachu [46]3 years ago
6 0

Answer:

6x^4 - 2x^3/ x^2 - 25

Step-by-step explanation:

On A

Natali5045456 [20]3 years ago
3 0

Answer:

2x^3/x+5/x-5/ 3x-1

2x^3/ 3x-1

Step-by-step explanation:

we can cut plus and minus sign

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Which is the equation of a parabola with a directrix at y = −3 and a focus at (5, 3)?
kramer

Answer:

y = 1/12 (x − 5)²

Step-by-step explanation:

We can solve this graphically without doing calculations.

The y component of the focus is y = 3.  Since this is above the directrix, we know this is an upward facing parabola, so it must have a positive coefficient.  That narrows the possible answers to A and C.

The x component of the focus is x = 5.  Since this is above the vertex, we know the x component of the vertex is also x = 5.

So the answer is A. y = 1/12 (x−5)².

But let's say this wasn't a multiple choice question and we needed to do calculations.  The equation of a parabola is:

y = 1/(4p) (x − h)² + k

where (h, k) is the vertex and p is the distance from the vertex to the focus.

The vertex is halfway between the focus and the directrix.  So p is half the difference of the y components:

p = (3 − (-3)) / 2

p = 3

k, the y component of the vertex, is the average:

k = (3 + (-3)) / 2

k = 0

And h, the x component of the vertex, is the same as the focus:

h = 5

So:

y = 1/(4×3) (x − 5)² + 0

y = 1/12 (x − 5)²

3 0
3 years ago
A line passes through points (0,k) and (2,0) and has a slope of -1.5.
Contact [7]

Answer:

The equation of the line is y = -1.5x + 3

The y-intercept is (0,3)

The value of k is 3.

Step-by-step explanation:

y - 0 = -1.5 (x - 2)

y = -1.5x + 3

4 0
3 years ago
Which triangle makes this statement true?
Molodets [167]

Answer:

A.

Step-by-step explanation:

i pretty sure

7 0
2 years ago
Two numbers have a sum of 1,212 and a difference of 518. What are the two numbers?
guapka [62]

Answer:

The two numbers are

518

694

Step-by-step explanation:

As per requirements the two equations will be

X+Y=1212

X-Y=518

When we subtract these equations we get

X=1212-518

X=694

Now put the X value and find the Y value in any equation

X+Y= 1212

Y=1212-X

Where X = 694

Y=1212-694

Y=518

X=694 and Y=518

4 0
3 years ago
I need help with a math question
adoni [48]
6/8+7/8=13/8 or 1 5/8
4 0
3 years ago
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