Answer:
y =
x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y =
x - 5 ← is in slope- intercept form
with slope m = 
Parallel lines have equal slopes, thus
y =
x + c ← is the partial equation
To find c substitute (- 6, - 5) into the partial equation
- 5 = - 8 + c ⇒ c = - 5 + 8 = 3
y =
x + 3 ← equation of parallel line
Answer:
176.89in^3
Step-by-step explanation:
when finding the volume using the surface area, the best method that comes in my mind is finding the ratio between the surface area and volume which would be r/3 for a sphere. So if given that the surface area of the sphere is 152.39 square r/3=around 1.161, and when multiplied by 152.39 is around 176.89. another similar method is deriving the radius when given its surface area which is simply taking the square root of the surface area/4pi which turns out to be 3.482357088 or 3.48 which can then be plugged into the volume formula as the radius which is (3.48^3*4pi)/3 which turns out to be the same answer!
Let's list out what we already know:
Alexa's book is into 8 chapters
Rose's book is into 6 chapters
So since they are out of how many chapters, they number of chapters their books are split into will be the denominator of each fraction. Each girl has already read 3 chapters, so they'll have 3 as their numerator.
Alexa: 3/8
Rose:3/6
We can see that Rose is already at half of the book while Alexa's half would be 4/8, and she isn't there yet. So Rose read more of her book.
Answer:
76
Step-by-step explanation:
The answer is: a = 16
Steps:
First exclude any restricted values of y.
6/y = 9/24 , y is not equal 0
Simplify the right side of the equation using 3.
6y = 3/8
Cross multiply.
6 x 8 = 3
3 x y = 3y
So, 6 x 8 = 3y
Or, 48 = 3y
Switch the sides of the equation.
3y = 48
Divide both sides by 3.
3y/3 = y
48/3 = 16
Now you have your answer, y = 16