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Fiesta28 [93]
3 years ago
11

Can you help me with it please​

Mathematics
1 answer:
Kisachek [45]3 years ago
4 0

Answer:

\frac{20}{29}

Step-by-step explanation:

Equation of unit circle is:

x^2 + y^2 = 1

Plug y = \frac{-21}{29} in above equation.

x^2 + \bigg( \frac{-21}{29}\bigg)^2 = 1\\\\x^2 +  \frac{441}{841} = 1\\\\x^2   = 1-\frac{441}{841}\\\\x^2   = \frac{841-441}{841}\\\\x^2   = \frac{400}{841}\\\\x  =\pm\sqrt{ \frac{400}{841}}\\\\x  =\pm\frac{20}{29}\\\\

Since, point P is in the fourth quadrant.

Therefore, x - coordinate should be positive.

\huge \red {\boxed {\therefore x  =\frac{20}{29}}} \\\\

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Edison has a sales job and receives $45,448 as his annual pay, plus commission. His company pays him a commission of 15% on his
11111nata11111 [884]

Answer:

Edison will be paid $15,112 for 3 months

Step-by-step explanation:

Edison receives an annual fixed pay = $45,448.

Monthly pay  = 45,448/12 = $3787.33

3-month salary = $3787.33 *3 = $11.362

Commission = 15%

Total sale = $25,000 for the first 3 months.

Commission amount = 25,000*0.15 = $3750

Therefore, total pay that Edison received during first 3 months= salary + commission

= $11,362 + $3750

= $15,112

Thank you.


4 0
4 years ago
Choose the correct vertex of the function f(x) = x2 - X + 2.
8_murik_8 [283]

Answer:

The vertex of the function is (\frac{1}{2}, \frac{7}{4})

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

f(x) = ax^{2} + bx + c

It's vertex is the point (x_{v}, y_{v})

In which

x_{v} = -\frac{b}{2a}

y_{v} = -\frac{\Delta}{4a}

Where

\Delta = b^2-4ac

If a<0, the vertex is a maximum point, that is, the maximum value happens at x_{v}, and it's value is y_{v}.

f(x) = x² - X + 2.

Quadratic equation with a = 1, b = -1, c = 2

So

\Delta = b^2-4ac = (-1)^2 - 4(1)(2) = 1 - 8 = -7

x_{v} = -\frac{(-1)}{2} = \frac{1}{2}

y_{v} = -\frac{-7}{4} = \frac{7}{4}

The vertex of the function is (\frac{1}{2}, \frac{7}{4})

4 0
3 years ago
80% of the 400 pieces of art at the Classical Art Museum are paintings. How many pieces of art are paintings?
Maurinko [17]

Answer:

320 pieces are paintings

Step-by-step explanation:

Hope i helped : )

4 0
4 years ago
Read 2 more answers
If f(1)=9 and f(n-1)+5 then find the value of f(6)
uysha [10]

Answer:

f-3+6

because f=9

Step-by-step explanation:

4 0
3 years ago
2(x+10)=20....................
skad [1K]

Answer:

20 + 2x

Step-by-step explanation:

2(x+10)

2.x +2.10

2x+20=20+2x

Bcoz addition is commutative

5 0
3 years ago
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