Answer:
y=x+4
Step-by-step explanation:
2y=2x+4 simplifies down to y=x-2. Since the two lines are parallel, they have to have the same slope, but different y-intercepts. This means that we just have to find the y-intercept that will allow our line to pass through (-5, -1).
If we input the coordinates into what of our equation we have thus far (y=x+b), we just have to find what b needs to equal to make the equation true.
-1=-5+b -1=-5+4
b = 4 -1=-1
2x + 5y = -8 . . . (1)
-133x - 4y = -8 . . . (2)
(1) * 4 => 8x + 20y = -32 . . . (3)
(2) * -5 => -665x + 20y = 32 . . . (4)
(3) - (4) => 673x = 0
x = 0
From (1), 2(0) + 5y = -8
5y = -8
y = -8/5
Answer:
1) Given, 2) Inverse property of addition, 3) Commutative property/Identity property of addition, 4) Inverse property of multiplication, 5) Identity property of multiplication/Result.
Step-by-step explanation:
In this exercise we present what real number properties are used in each step of the given procedure with its respective explanations:
1) ![37\cdot 2\cdot \left[(-5)+5+\frac{1}{2} \right]](https://tex.z-dn.net/?f=37%5Ccdot%202%5Ccdot%20%5Cleft%5B%28-5%29%2B5%2B%5Cfrac%7B1%7D%7B2%7D%20%5Cright%5D)
<em>Given</em>
2) 
<em>Inverse property of addition</em>
The inverse property of addition states that:
, 
3) 
<em>Commutative property/Identity property of addition</em>
The commutative property of real numbers states that:
, 
The identity property of addition of real numbers states that:
, 
4) 
<em>Inverse property of multiplication. </em>
The inverse property of real numbers states that:
, 
5) 
<em>Identity property of multiplication/Result.</em>
The identity property of multiplication of real numbers states that:
, 
The standard form of ellipse with vertical major axis and center at the origin is:
x^2/b^2+y^2/a^2=1, a>b
2a=length of the major axis=28
a=14
a^2=196
2b=length of minor axis=20
b=10
b^2=100
x^2/196+y^2/100=1
making y the subject we get
y=5/7(196-x²)^0.5
