Since the minimum value is 0 and axis of symmetry is -2 this means that the vertex is at -2,0 now with the y intercept of 4. You can now plug the values into Vertex form which will be y=a(x-h)^2+k. a being the shrink or stretch of the parabola, h being the x value of the vertex, and k being the y value of the vertex. with all of that plugged in it should look like y=(x+2)^2. You can check this equation by plugging in 0 as x which should find the y intercept of 4. So it should then look like y=(0+2)^2 -> y=(2)^2 -> y=4
The total possibilities can be 756 ways.
<h3>What is combination?</h3>
A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order. Combinations can be confused with permutations.
Given:
The number of ways in which we can select atleast 3 men in the committee are 756.
Number of men = 7
Number of women = 6
Number of people that should be selected in the committee = 5
Now,
N(M = 3) = 7C_3* 6C_2
=35*15
=525
N(M = 4) = 7C_4* 6C_1
=35*6
=210
N(M = 3) = 7C_5* 6C_0
=21*1
=21
So, total possibilities can be = 525 + 210 + 21 = 756 ways.
learn more about combination here:
brainly.com/question/28390900
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Answer: 125.80 ft
Step-by-step explanation:
Asuming the described situation is as shown in the figure below, we need to find the distance
between the kite and Jacks house, but first we need to find the
,
and then
.
How?
We will use trigonometry, especifically the trigonometric functions sine and cosine:
For
:
(1)
Where
is the opposite side to the angle and
the hypotenuse.
Isolating
:
(2)
For
:
(3)
Where
is the adjacent side to the angle.
Isolating
:
(4)
Finding
:
(5)

(6)
Now that we have found these values, we have to work with a bigger triangle, where the hypotenuse is the distance between the kite and Jack's house
and the sides are the values calculated in (4) and (6).
So, in this case we will use the <u>Pithagorean theorem</u>:
(7)
Isolating
and writing with the known values:
(8)
(9)
This is the distance between the kite and the house
Answer:
10⁶
Step-by-step explanation:
B
Because there is 6 10s so... yeah hope this helps