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earnstyle [38]
2 years ago
6

The point P(x, y) lies on the terminal side of an angle theta = 3 pi/4 in standard position. What are the signs of the values of

x and y?
Mathematics
2 answers:
Brums [2.3K]2 years ago
6 0

Answer:

x coordinate is negative

y coordinate is positive

Step-by-step explanation:

We know that

\pi=180

Hence

\frac{3\pi}{4}=\frac{3*180}{4}

\frac{3\pi}{4}=3*45=135

Hence our angle lies in the second quadrant. Second quadrant is enclosed by the negative x axis and positive y axis.

In second quadrant, we have negative value if x coordinate and positive value of y coordinate.

Maslowich2 years ago
3 0
3pi/4 is 135 in degrees.  A 135-degree angle lies in quadrant 2.  In quadrant 2, the x values are negative and the y values are positive. 
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Factor the expression given below. Write each factor as a polynomial in
kherson [118]

The factorization of the expression of 43x³ + 216y³ is

(7x + 6y)(49x² - 42xy + 36y²)

Step-by-step explanation:

The sum of two cubes has two factors:

1. The first factor is \sqrt[3]{1st} + \sqrt[3]{2nd}

2. The second factor is ( \sqrt[3]{1st} )² - ( \sqrt[3]{1st} ) ( \sqrt[3]{2nd} ) + ( \sqrt[3]{2nd} )²

Ex: The expression a³ + b³ is the sum of 2 cubes

The factorization of a³ + b³ is (a + b)(a² - ab + b²)

∵ The expression is 343x³ + 216y³

∵ \sqrt[3]{343x^{3}} = 7x

∵ \sqrt[3]{216y^{3}} = 6y

∴ The first factor is (7x + 6y)

∵ (7x)² = 49x²

∵ (7x)(6y) = 42xy

∵ (6y)² = 36y²

∴ The second factor is (49x² - 42xy + 36y²)

∴ The factorization of 43x³ + 216y³ is (7x + 6y)(49x² - 42xy + 36y²)

The factorization of the expression of 43x³ + 216y³ is

(7x + 6y)(49x² - 42xy + 36y²)

Learn more:

You can learn more about factors in brainly.com/question/10771256

#LearnwithBrainly

6 0
2 years ago
Keitaro walks at a pace of 3 miles per hour and runs at a pace of 6 miles per hour. Each month, he wants to complete at least 36
Kamila [148]

A. 2x3=6 and 6x12=72 so 78 is greater than 36

6+72=79 which is less than 90

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2 years ago
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The equations 3 x minus 4 y = negative 2, 4 x minus y = 4, 3 x + 4 y = 2, and 4 x + y = negative 4 are shown on the graph below.
stich3 [128]

Answer:

  (–1.4, 1.5)

Step-by-step explanation:

The blue line and the purple line are the lines corresponding to the equations of interest. Their point of intersection is in the 2nd quadrant, so is nearest to ...

  (–1.4, 1.5)

__

It can be useful to understand that for equations in standard form:

  ax +by = c

the x- and y-intercepts are ...

  • x-intercept: c/a . . . . value of x for y = 0
  • y-intercept: c/b . . . . value of y for x = 0

__

For the equations of interest, the first has intercepts of ...

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And the second has intercepts of ...

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Since the purple line has a steeper slope, the point of intersection of the lines will be in the 2nd quadrant. There is only one 2nd-quadrant answer choice: (-1.4, 1.5).

5 0
2 years ago
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Will works 7 hours a day, 6 days a week. He is paid £9.20 an hour. He shares his wages with his Mum in the ratio Will : Mum = 5
frez [133]
It will take him 6 weeks to buy the car
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The weight of a honeybee is 1.2\cdot10^{-1}\text{ g}1.2⋅10 −1 g1, point, 2, dot, 10, start superscript, minus, 1, end superscrip
Nadusha1986 [10]

Answer:1.8*10^-1

Step-by-step explanation:

8 0
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