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dusya [7]
3 years ago
5

PLEASE EXPLAIN: h(x) = sqrt(4-x^2), find the domain and range.

Mathematics
1 answer:
Elis [28]3 years ago
8 0
H(x), or the range of this function, must be y >= 0, as you can never get a negative when square rooting any number.

For the domain, x cannot exceed -2 or 2, as this would mean we'd be finding the square root of a negative number, which can't happen without getting in to imaginary numbers. Thus, the domain must be -2 <= x <= 2.
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What is m angle A B E?
sattari [20]

Answer:

  • ∠ABE = 60°
  • ∠DBE = 40°
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  • y = 2

Step-by-step explanation:

The various markings tell you that ...

  GH = GI

  5x -10 = 3x

  2x = 10

  x = 5

and

  ∠ABD ≅ ∠DBC

  10y° = (8y+4)°

  2y = 4

  y = 2

The markings on GH and GI tell you that ΔGBI ≅ ΔGBH, so ...

  ∠CBE ≅ ∠DBC ≅ ∠ABD = 10y° = 20°

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A) m∠ABE = 60° . . . matches choice D

__

B) m∠DBE = 40° . . . matches choice C

__

C) m∠FBA = 7(5) +6(2) = 35 +12 = 47 . . . matches choice C

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D) The value of y is 2. . . . matches choice A

6 0
3 years ago
what is the solution to this system of linear equations? 2x y = 1 3x – y = –6 (–1, 3) (1, –1) (2, 3) (5, 0)
Nitella [24]
Hello,

2x+y=1
3x-y=-6

==>5x=-5
==>x=-1 and y=1-2*(-1)=3
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Answer A

8 0
3 years ago
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sammy [17]
The simplified form of that decimal in fraction form is 3/20. Hope this helps.
5 0
3 years ago
What percent of 50 is 9?
d1i1m1o1n [39]
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lana [24]

Answer:

1/6

Step-by-step explanation:

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So the yellow die needs to roll a 1, over a total of 6 possibilities, so the probability is 1/6

5 0
3 years ago
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