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Tatiana [17]
3 years ago
12

Which is true of a circle?

Mathematics
1 answer:
MrRa [10]3 years ago
5 0

Answer:

Any two points on the circumference of the circle are the same distance from the center of the circle.

Step-by-step explanation:

Any two points on the circumference of the circle are the same distance from the center of the circle.

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Find an equation in standard form of the parabola passing through these points: (0,-6),(-1,-12),(3,0)
Elan Coil [88]
One form of the equation of a parabola is
y = ax² + bx + c

The curve passes through (0,-6), (-1,-12) and (3,0). Therefore
c = - 6                       (1)
a - b + c = -12            (2)
9a + 3b + c = 0         (3)

Substitute (1) into (2) and into (3).
a - b -6 = -12
a - b = -6                  (4)
9a + 3b - 6 = 0
9a + 3b = 6              (5)

Substitute a = b - 6 from (4) into (5).
9(b - 6) + 3b = 6
12b - 54 = 6
12b = 60
b = 5
a = b - 6 = -1

The equation is
y = -x² + 5x - 6 

Let us use completing the square to write the equation in standard form for a parabola.
y = -[x² - 5x] - 6
   = -[ (x - 2.5)² - 2.5²] - 6
   = -(x - 2.5)² + 6.25 - 6

y = -(x - 2.5)² + 0.25
This is the standdard form of the equation for the parabola.
The vertex us at (2.5, 0.25).
The axis of symmetry is x = 2.5
Because the leading coefficient is -1 (negative), the curve opens downward.
The graph is shown below.

Answer: y = -(x - 2.5)² + 0.25

3 0
3 years ago
How to write the number 63 in four different ways
shtirl [24]
63/1
sixty-three
63^1
63
7 0
3 years ago
Please help...................
anastassius [24]

Answer:

I would help you

Step-by-step explanation:

But I'm really lazy and I really don't like math. I'm not good at it and I think I failed it last semester. true story bro.

7 0
3 years ago
Read 2 more answers
Solve for the indicated variable. a=f/m for m<br><br> SHOW ALL WORK
Lena [83]
Ok, a=f/m
What we need to do is isolate the variable, m.
  a=f/m
*m  *m
a*m=f
m*a=f
/a     /a
m=f/a
There's your answer.
3 0
2 years ago
Evaluate the following expression for x = 4. <br><br><br> 1+3(x-1)-2x
xz_007 [3.2K]

Answer:

2

Step-by-step explanation:

1+3(x-1)-2x

Substitute the value of x into the equation:

1 + 3(4-1) -2 (4)

1 + 3(3)- 8

1 + 9 - 8

2

8 0
3 years ago
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