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Marizza181 [45]
3 years ago
15

If the point (x,square root 3/3) is on the unit circle, what. is x? A) 2/3

Mathematics
1 answer:
NeX [460]3 years ago
6 0
If the point is on the unit circle:
x² + (√3/3 )² = 1²
x² + 3/9 = 1
x² + 1/3 = 1
x² = 1 - 1/3
x² = 2/3    / √
x = √2/√3  · √3/√3   = √6 / 3
Answer: A ) square root (6) / 3 
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Find three consecutive integers for which 3 times the sum of the first and third integers is -342.
ikadub [295]

Answer:

<h3>              -58, -57, -56</h3>

Step-by-step explanation:

x       - the first of consecutive integers

x+1   - the second of consecutive integers

x+2  - the third of consecutive integers

x+x+2  - sum of the first and third integers

3(x+x+2)  - three times the sum of the first and third integers

3(x+x+2) = -342

  ÷3             ÷3

2x + 2 = -114

  -2            -2

 2x = -116

 ÷2     ÷2

   x = -58

x+1 = -58 + 1 = -57

x+2 = -58 + 2 = -56

3 0
3 years ago
Find the volume of the following rectangular prism with dimensions of 8.7m by 5m by 17m
Ray Of Light [21]

Answer:

739.5

Step-by-step explanation:

all you have to do is multiply 8.7x5x17

6 0
4 years ago
If you could help I would really appreciate it, but if not that’s fine. Thank you.
Simora [160]

Answer:

Option C is correct answer.

Step-by-step explanation:

We need to draw the graph of piece wise function

f(x)\[ \begin{cases}       -2-x & if\:x\leq 1 \\      -3+2x & if\: x>1   \end{cases}\]

So, for drawing the graph, we will find values of f(x) for both the given equations.

First finding f(x) for -2-x \:\: if\:x\leq1

The value of x must be less than or equal 1

x       f(x)

1        -3

0       -2

-1       -1

-2       0

-3       1

-4       2

The graph will start from closed circle because x ≤ 1

Now, finding values of f(x) for -3+2x\: if\:x>1

The value of x must be greater than 1

x        f(x)

2        1

3        3

4        5

5        7

The graph will start from open circle because x> 1

Now, plotting these numbers we will get graph of Option C.

Option C is correct answer.

4 0
3 years ago
F(x)=2x+3, and g(x)=4x-2. what is f(x)+g(x)
klio [65]

Answer:

f

(

x

)

=

5

x

2

−

2

x

+

3

g

(

x

)

=

4

x

2

+

7

x

−

5

f

(

g

(

x

)

)

=

5

(

4

x

2

+

7

x

−

5

)

2

−

2

(

4

x

2

+

7

x

−

5

)

+

3

=

80

x

4

+

280

x

3

+

45

x

2

−

350

x

+

125

−

8

x

2

−

14

x

+

10

+

3

=

80

x

4

+

280

x

3

+

45

x

2

−

8

x

2

−

350

x

−

14

x

+

125

+

10

+

3

f

(

g

(

x

)

)

=

80

x

4

+

280

x

3

+

37

x

2

−

364

x

+

138

The answer is  

f

(

g

(

x

)

)

=

80

x

4

+

280

x

3

+

37

x

2

−

364

x

+

138

.

Step-by-step explanation:

8 0
3 years ago
Please help me with this i really need help
Lena [83]

Answer:

Add all 25-29 ages together to get your answer

Step-by-step explanation:

4 0
3 years ago
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