Answer:
y =
x - 
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 - 3 ← is in slope- intercept form
with slope m = - 
Parallel lines have equal slopes , then
y = -
x + c ← is the partial equation of line d
to find c substitute (- 2, - 2 ) into the partial equation
- 2 =
+ c ⇒ c = - 2 -
= - 
y = -
x -
← equation of line d
Isolate the x. Note the equal sign. What you do to one side you do to the other.
Subtract 2y from both sides
2x + 2y (-2y) = 10 (-2y)
2x = 10 - 2y
Isolate the x, divide 2 from both sides and from all terms.
(2x)/2 = (10 - 2y)/2
x = 5 - y
Place the variable in the front
x = -y + 5
x = -y + 5 is your answer
hope this helps
Answer:
42.42in³
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a cone
Step one
We know that the volume of a cone is
V= 1/3πr²h
Given data
Diameter d= 6 inches
Radius r= diameter/2= 6/2= 3 inches
Height h = 4.5 inches
Step two
Substituting our given data we have
Volume = 1/3*3.142*3²*4.5
V= 1/3*3.142*9*4.5
V= 127.251/3
V= 42.42in³
In mathematical form, it would be:
n-8 < 11
add 8 from both sides,
n-8+8 < 11+8
n < 19
So, n value must be less than 19
Hope this helps!
-1 + 10 = 9 +10 = 19 + 10 = 29 so the next would be 39 because you add ten to it and there is only one answer with 39 so it's C