<em>x</em> ² - 4<em>x</em> + <em>y</em> ² + 8<em>y</em> = -4
(<em>x</em> ² - 4<em>x</em> + 4) + (<em>y</em> ² + 8<em>y</em> + 16) = -4 + 4 + 16
(<em>x</em> - 2)² + (<em>y</em> + 4)² = 16
(<em>x</em> - 2)² + (<em>y</em> + 4)² = 4²
which is the equation of a circle centered at (2, -4) and with radius 4.
Using the proportional relationship between X and Y ; the completed table is :
- X ____ Y
- 2 ____ 1.5
- 3 ____ 2.25
- 3 ____ 4
Let :
x = Serving of chicken
y = ounces of noodles
The proportional relationship :
x = ky ; k = constant of proportionality
x = 2 ; y = 1.5
2 = 1.5k
k = (2 ÷ 1.5)
k = 1.333
The expression for the relationship is :
x = 1.333y
When x = 3 ; y =?
3 = 1.333y
y = 3/1.3333
y = 2.25
When y = 3
x = 1.333(3)
x = 4
Therefore, the complete table is :
X ____ Y
2 ____ 1.5
3 ____ 2.25
3 ____ 4
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Answer:
x = 2
y = 5
1 = 80
2= 10
3 = 100
Step-by-step explanation:
Complementary angles add to 90.
So 5(x+14) + 2(10-y) = 90. Solve for x.
5x + 70 + 20 -2y = 90
5x - 2y = 0
Supplementary angles add to 180.
So 5(x+14) + 121-3x-3y = 180. Solve for x.
5x + 70 + 121 -3x -3y = 180
2x - 3y = -11
This creates a system of equations. Solve using elimination.
5x - 2y = 0 ------> 10x - 4y =0
2x - 3y = -11 ------> 10x -15y = -55
_____________
11y = 55
y = 5
Substitute y=5 into the equation to find x.
2x - 3(5) = -11
2x - 15 = -11
2x = 4
x=2
Find the measure of each angle by substituting x = 2 and y =5 into each angle.
Answer:
122
Step-by-step explanation:

Plug in 1 for x and 11 for y

1 to the power of any number will always equal 1

I hope this helps!