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KonstantinChe [14]
3 years ago
6

The table shows values for functions f(x) and g(x)

Mathematics
1 answer:
statuscvo [17]3 years ago
8 0

Answer: When f(x)=g(x) , x equal to -2 or -1

Step-by-step explanation:

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(-2/3, sqrt5/3) is a point on a unit circle. Find the cosine, cosecant, and sine of the angle.
Nana76 [90]

Look at the picture.

\csc\theta=\dfrac{1}{\sin\theta}=\dfrac{1}{\frac{y}{r}}=\dfrac{r}{y}

We have the right triangle x, y and r. From the Pythagorean theorem we have:

r^2=x^2+y^2\to r=\sqrt{x^2+y^2}

We have the point

\left(-\dfrac{2}{3};\ \dfrac{\sqrt5}{3}\right)

Substitute:

r=\sqrt{\left(-\dfrac{2}{3}\right)^2+\left(\dfrac{\sqrt5}{3}\right)^2}\\\\r=\sqrt{\dfrac{4}{9}+\dfrac{5}{9}}\\\\r=\sqrt{\dfrac{9}{9}}\\\\r=1

\csc\theta=\dfrac{1}{\frac{\sqrt5}{3}}=\dfrac{3}{\sqrt5}=\dfrac{3\cdot\sqrt5}{\sqrt5\cdot\sqrt5}=\boxed{\dfrac{3\sqrt5}{5}}

8 0
3 years ago
Write as an ordered pair. 4x+2y=16 and -4y+x=4
Margaret [11]

Answer:

(4,0)

Step-by-step explanation:

4x+2y=16

-4y+x=4

Multiply the first equation by 2

2(4x+2y)=16*2

8x +4y = 32

Add the 2nd equation

8x +4y = 32

x  -4y     =4

--------------------

9x            =36

Divide each side by 9

9x/9 = 36/9

x=4

Now solve for y

-4y +x =4

-4y +4 = 4

Subtract 4 from each side

-4y +4-4=4-4

-4y =0

Divide by -4

-4y/-4 =0/-4

y=0

(4,0)

4 0
3 years ago
Read 2 more answers
The points represented by the table lie on a line. How can you find the slope of the line
Simora [160]

Answer:

Step-by-step explanation:

okay so you can take any two points 1 x one y in the form (x, y) and (x, y) so

(2, 5) and (4, 1)

then use the slope formula y2-y1/ x2 -x1

1-5+=4

4-2=2

slope equals 4/2 simplified equals 2

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8 0
3 years ago
Which is the following statements is NOT true?
Dominik [7]

Answer:

The last one is the answer; The slope of AB is different than the slope of BC.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
How to solve for 6x-12+2x=3+8x-15
Alecsey [184]
6x−12+2x=3+8x−15

Simplify:

6x+−12+2x=3+8x+−15

(6x+2x)+(−12)=(8x)+(3+−15)(Combine Like Terms)

8x+−12=8x+−12


8x−12=8x−12

Subtract 8x from both sides.

8x−12−8x=8x−12−8x

−12=−12

Add 12 to both sides.

−12+12=−12+12

0=0

The real numbers are the only solution we can have.


4 0
3 years ago
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