Answer:
Step-by-step explanation:
1.) Apply the distributive law
5x + 5 * 2
2.) Multiply the numbers
5 * 2 = 10 is equivalent to 5x + 10
3.) Group like terms
5x - 3 + 10
4.) Add/subtract the numbers
-3 + 10 = 7 is equivalent to 5x + 7
Answer:
y=-7
x=3
Step-by-step explanation:
I just used a calculator. Hope this helps. :)
Answer:
(
, 8 )
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 = 10x - 2 ← is in slope- intercept form
with slope m = 10
Parallel lines have equal slopes
then the tangent to the parabola with a slope of 10 is required.
the slope of the tangent at any point on the parabola is 
differentiate each term using the power rule
(a
) = na
, then
= 6x + 2
equating this to 10 gives
6x + 2 = 10 ( subtract 2 from both sides )
6x = 8 ( divide both sides by 6 )
x =
= 
substitute this value into the equation of the parabola for corresponding y- coordinate.
y = 3(
)² + 2
= (3 ×
) + 2
=
+ 
= 
= 8
the point on the parabola with tangent parallel to y = 10x - 2 is (
, 8 )
Answer:
.
Step-by-step explanation:
Let
and
denote the two endpoints.
The formula for the midpoint of these two points would be:
.
(Similar to taking the average of each coordinate.)
In this question, it is given that
whereas
. Substitute these two values into the expression for the coordinate of the midpoint:
-coordinate of the midpoint:
.
-coordinate of the midpoint:
.
Solve these two equations for
and
:
whereas
.
Hence, the coordinate of the other point would be
.
Volume of a sphere is 4/3(pi r ^3)
You were given d = 10 so r = 5
Then just plug and chug