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Vesna [10]
3 years ago
8

20 points!

Mathematics
2 answers:
Tasya [4]3 years ago
8 0
Basically, to solve this, we need to use the equation:
x^2 + 6x + 8 = 0
Now, to do this we need to simplify:
(x + 4)(x + 2) = 0
(When you multiply these two, you get x^2 + 6x + 8, you can check)
To make 0, one of these two have to make 0. In this case, one could be -4, and one could be -2
So, x = -4, and x = -2 (-2 is larger, -4 is smaller.)
Knowing this, we need to use -b/2a to find the vertex:
-6/2 = -3
Knowing that x is -3, we input it:
-9 + 18 - 8 = 1
Knowing this, we can say that the vertex is (-3, 1)
tigry1 [53]3 years ago
7 0
You can factor it by considering factors of 8 that add to 6.
  8 = 1·8 = 2·4
The latter pair add to 6, so your factorization is
  f(x) = (x + 2)(x + 4)
This product is zero when one of the factors is zero. There are 2 factors, hence 2 zeros of the function.
For x+2 = 0
  x = -2
For x+4 = 0
  x = -4

The graph of a parabola is symmetrical about its vertex, so the line of symmetry is halfway between the zeros, at x = (-2-4)/2 = -3. The y-coordinate of the vertex is the value of the function at this point,
  f(-3) = (-3+2)(-3+4) = -1

a) Your two separate zeros are
  x = -4 (smaller value)
  x = -2 (larger value)


b) The vertex of the parabola is
  vertex = (-3, -1)

_____
You can use a graphing calculator to answer these questions directly from the graph (or to check your work, as the case may be).

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What is the conjugate of -3+2i
WARRIOR [948]
\text{conjugate:\ \boxed{ -3-2i}}
4 0
3 years ago
A blackjack is a 10-point card and an ace for a value of 21. Use your answers to parts (a), (b), and (c) to determine the probab
kondor19780726 [428]

Answer:

Results:

0.1432

0.0045

0.0905

0.0483

Step-by-step explanation:

Step a:

P(A or 10, A or 10) = 20/52 * 19/51 = 5/13 / 19/51 = 95/663 = 0.1432

Step b:

P(A A) = 4/52 * 3/51 = 1/13 * 1/17 = 1/221 = 0.0045

Step c:

P(10 10) = 16/52 * 15/51 = 4/13 * 5/17 = 20/221 = 0.0905

Step d:

P(A 10 or 10 A) = 2 * 4/52 * 16/51 = 2/13 * 16/51 = 32/663 = 0.0483

As well we get the probability by subtracting a,  b and c:  

P(blackjack): 0.1432 - 0.0905 - 0.0045 = 0.0482  

7 0
3 years ago
The distance along a circle between two<br>points on the circle​
GarryVolchara [31]

Answer:Diameter

Step-by-step explanation:The diameter is how far away one point on a circle is from another point straight across on a circle.

8 0
3 years ago
Read 2 more answers
I would really appreciate anyone who can answer this, Thanks!
gregori [183]

Answer:

JM

Step-by-step explanation:

A tangent line is a line that only intersects a circle at one point.

LG and CJ are not lines, and GH intersects the circle twice (at point G and point H), so JM is the tangent line.

8 0
3 years ago
Find the area of this circle. Use
Alina [70]

Answer:

4,069.44 in squared

Step-by-step explanation:

pir^2

72/2 = 36

36^2 = 1,296pi

1,296*3.14 = 4,069.44

7 0
2 years ago
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