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madreJ [45]
3 years ago
9

Find the slope and the y-intercept of the graph of the linear equation.

Mathematics
1 answer:
Tems11 [23]3 years ago
6 0
7 and 8 the slope is what is multiplied by x. 9 make y by itself which gives y=3/4x-2. 3/4 is the slope because its multiplied by x. 10 make x by itself to get the x intercept. first subtract 4x. y-4x=-2. then subtract y by both sides.-4x=-2-y. then divide by NEGATIVE 4. after that you will get x intercept form
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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
2 years ago
WHAT IS THE EQUATION ?? AND TELL ME HOW YOU GOT IT.
tigry1 [53]

Answer:

SUM OF ALL ANGLES OF A TRIANGLE =180

THEREFORE,

X+8+2X-3+6X-5=180

9X=180

X=20.

THEREFORE,<J=X+8=20+8=28

<K=6X-5=6*20-5=120-5=115

<L=2X-3=2*20-3=40-3=37.

6 0
3 years ago
Can someone answer this question?
Paraphin [41]
I believe that the answer is B.
4 0
3 years ago
Read 2 more answers
Mr.Falcons pizza shop offers two sizes of pizza. The XL large and XXL pizza with diameters of 20 inches and 22 inches. What is t
Scilla [17]

Answer:

one is 2 inches bigger that the other.

Step-by-step explanation:

becuase if one of the pizza is 20in ans the other is 22 the 20 on is only 2in away frof the XXL pizza .

8 0
3 years ago
Pls help because im awful at math
Vesnalui [34]

Answer:

8/4

Step-by-step explanation:

because 8 is x and x goes first and y is 4 and y goes last

hope this helps!

5 0
2 years ago
Read 2 more answers
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