value of x is 
and value of y is 
Step-by-step explanation:
We need to find Which expression could be substituted for y in the second equation to find the value of x
The given equations are:
For putting value of y in second equation, we will find from equation 1
From equation 1:
Putting value of y i.e y=10+2x in equation (2) to find value of x
So, now finding value of y by putting value of x= -29/4 in eq(1)
So, value of x is and value of y is
Keywords: System of equations
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9514 1404 393
Answer:
2√30 ∠-120°
Step-by-step explanation:
The modulus is ...
√((-√30)² +(-3√10)²) = √(30 +90) = √120 = 2√30
The argument is ...
arctan(-3√10/-√30) = arctan(√3) = -120° . . . . a 3rd-quadrant angle
The polar form of the number can be written as ...
(2√30)∠-120°
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<em>Additional comments</em>
Any of a number of other formats can be used, including ...
(2√30)cis(-120°)
(2√30; -120°)
(2√30; -2π/3)
2√30·e^(i4π/3)
Of course, the angle -120° (-2π/3 radians) is the same as 240° (4π/3 radians).
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At least one app I use differentiates between (x, y) and (r; θ) by the use of a semicolon to separate the modulus and argument of polar form coordinates. I find that useful, as a pair of numbers (10.95, 4.19) by itself does not convey the fact that it represents polar coordinates. As you may have guessed, my personal preference is for the notation 10.95∠4.19. (The lack of a ° symbol indicates the angle is in radians.)
Answer:
Area of the figure = 109 cm. square
Step-by-step explanation:
The radius of the semi circle is 12 ÷ 2 = 6 cm.
Area of the semi circle = 
The radius of the quarter circle is 6 cm.
Area of the quarter circle = 
The area of the rectangle = 12 × 2 = 24
The area of the figure = 18π + 9π + 24 = 108.78 ≅ 109 cm. square
Multiply the price of popcorn by the number of bags so 6b.
Multiply the price of candy by the number bought, so 3.25c
Add those together to get total :
6b + 3.25c
Now the most she can spend is 50 so set the equation to less than it equal to what she can spend:
6b + 3.25c <= 50
Answer:
-33.28
Step-by-step explanation:
