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1 answer:
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Answer:
see explanation
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 )
(a)
here m = - and c = 6, hence
y = - x + 6 ← equation of line
(b)
here m = 6, hence
y = 6x + c ← is the partial equation
to find c substitute (2, - 6 ) into the partial equation
- 6 = 12 + c ⇒ c = - 6 - 12 = - 18
y = 6x - 18 ← equation of line
(c)
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 1, 3) and (x₂, y₂ ) = (4, 7)
m = =
, hence
y = x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (- 1, 3 ), then
3 = - + c → c = 3 +
=
y = x +
← equation of line
Answer:
They used 3.14 for pi:
Step-by-step explanation:
is the volume of a sphere with radius r.
I think that is the diameter given in the picture.
The radius is half the diameter.
So the radius is 5 since the diameter is 10.
Plug in this gives you:
The equation for this problem would be:
x+y = 16
Rearranging the equation, it can be expressed as:
y = 16 - x
To obtain ordered pairs, replace random values of x up to 16 to find the value of y. The ordered pairs are tabulated and the graph is shown in the attached picture.
x+y = 16
Rearranging the equation, it can be expressed as:
y = 16 - x
To obtain ordered pairs, replace random values of x up to 16 to find the value of y. The ordered pairs are tabulated and the graph is shown in the attached picture.