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bazaltina [42]
3 years ago
6

Solve square root of x+3 = 2

Mathematics
2 answers:
AnnZ [28]3 years ago
7 0

Answer:

If you mean the square root of (x+3) here's the answer: x=1

Step-by-step explanation:

Pretend there's a square root over x+3:    (x+3)^2=2^2

First eliminate the square root by squaring both sides.

The square root is cancelled so you get

x+3=4

x=1

devlian [24]3 years ago
5 0
√x+3 = 2

First we should simplify the equation by squaring both sides:

x + 3 = 4

Isolate x by taking 3 off both sides:

x = 1

We should ALWAYS check that our answer is correct after working out the value of x. We can do this by substituting x into the original equation:

√x + 3 = 2

Turns into:

√1 + 3 = 2

Which turns into:

√4 = 2

Which is true, therefore we can confirm:

x = 1

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Which of the curves on the graph below indicate a function
Slav-nsk [51]

Answer: Hello, I saw another picture and i think it was A

Step-by-step explanation: Vertical Line test will determine if a graph is a function or not

6 0
3 years ago
Rework problem 35 from the Chapter 2 review exercises in your text, involving auditioning for a play. For this problem, assume 9
sweet-ann [11.9K]

Answer: 1) 6300 ways

2) 2520 ways

3) 0.067

Step-by-step explanation:

For this problem, assume 9 males audition, one of them being Winston, 5 females audition, one of them being Julia, and 6 children audition. The casting director has 3 male roles available, 1 female role available, and 2 child roles available.

How many different ways can these roles be filled from these auditioners?

Available: 9M and  5F and 6C

Cast: 3M and 1F and  2C

As it is not ordered: C₉,₃ * C₅,₁ * C₆,₂

C₉,₃ = 9!/3!.6! = 84

C₅,₁ = 5!/1!.4! = 5

C₆,₂ = 6!/2!.4! = 15

C₉,₃ * C₅,₁ * C₆,₂ = 84.5.15 = 6300

How many different ways can these roles be filled if exactly one of Winston and Julia gets a part?

2 options Winston gets or Julia gets it:

1) Winston gets it but Julia no:

8 male for 2 spots

4 females for 1 spot

6 children for 2 spots

C₈,₂ * C₄,₁ * C₆,₂

C₈,₂ = = 8!/2!.6! = 28

C₄,₁ = 4!/1!.3! = 4

C₆,₂ = 6!/2!.4! = 15

C₈,₂ * C₄,₁ * C₆,₂ = 28.4.15 = 1680

2) Julia gets it but Winston does not

8 male for 3 spots

1 female for 1 spot

6 children for 2 spots

C₈,₃ * C₆,₂

C₈,₃ = 8!/3!.5! = 56

C₆,₂ = 6!/2!.4! = 15

C₉,₃ * C₆,₂ = 56.15 = 840

1) or 2) = 1) + 2) = 1680 + 840 = 2520

What is the probability (if the roles are filled at random) of both Winston and Julia getting a part?

8 male for 2 spots

1 female for 1 spot

6 children for 2 spots

C₈,₂ * C₆,₂

C₈,₂ = = 8!/2!.6! = 28

C₆,₂ = 6!/2!.4! = 15

C₈,₂ * C₆,₂ = 28.15 = 420

p = 420/6300 = 0.067

6 0
3 years ago
Find the sine of R. <br> A)12/13<br> B)13/12<br> C)5/12<br> D)5/13
enot [183]

Answer:

5/13

Step-by-step explanation:

sin R = opp side/ hypotenuse

sin R = 5/13

5 0
3 years ago
A woman prospecting for successful business travels 16km from a point P to a point Q on a bearing of 065°. She then travels to p
SashulF [63]

Answer:

The distance PR is 21.6 Km

Step-by-step explanation:

Please find the attached document for explanation.

Also, I applied Cosine rule to determine the distance PR, since  i have an angle (Q) in between two given sides of the triangle.

8 0
3 years ago
Can any help me please
PSYCHO15rus [73]
A = 8i + 6j
b = 4i + 5j

ab = (8i + 6j)(4i + 5j)
ab = 8i(4i + 5j) + 6j(4i + 5j)
ab = 8i(4i) + 8i(5j) + 6j(4i) + 6j(5j)
ab = 32i² + 40ij + 24ij + 30j²
ab = 32i² + 64ij + 30j²
ab = <32, 30>

The answer is D.
4 0
3 years ago
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