Answer:
.
Step-by-step explanation:
All non-horizontal line in the cartesian plane intersects the
-axis at a unique point. The
-coordinate of that point is the
-intercept of this line.
The
-intercept of the line in this question is
. Thus, the
-coordinate of the intersection of this line and the
-axis would be
.
Like all other points on the
-axis, the
-coordinate of that intersection would be
. Therefore, the coordinates of that intersection would be
.
Similarly, the
-intercept of a non-vertical line is the
-coordinate of the point where that line intersects the
-axis.
The slope-intercept form of a line is in the form
, where
is the slope of the line and
is the
-intercept of this line. Both
and
are constants.
It is given that the
-intercept of the line in this question is
. Therefore,
. The slope-intercept equation of this line would be
for some slope
to be found.
All points
on this line should satisfy the equation
of this line. The
-intercept of this line,
, is a point on this line. Thus, the equation
should hold for
and
. Substitute these two values into the equation and solve for the slope
:
.
.
Therefore, the slope-intercept equation of this line would be:
.
Answer:
The length is no more than 56 inches.
The volume of the box is 8064 cubic inches.
Step-by-step explanation:
Given : A postal service requires that any box sent by priority mail have length plus girth (distance around) totaling no more than 104 in. One volume that meets this condition is contained by a box with a square end 12 in. on each side.
To find : What is the length of the box? What is the volume?
Solution :
A square end 12 inch on each side.
Then the girth of the box is given by,



The girth of the box is 48 inches.
A postal service requires that any box sent by priority mail have length plus girth (distance around) totaling no more than 104 in.
So, 

The length is no more than 56 inches.
The maximum volume of such a box would be,

B = area of the base (or end) of the box,
So, 
The volume is


Therefore, The volume of the box is 8064 cubic inches.
Answer: I cant see it
Step-by-step explanation:
Answer: 42804 people per square mile
Step-by-step explanation:
As we know Population density = 
Given, population of New York City = 8.55 million
Area of New York City = 300 square miles
Then, population density of New York City = 
[1 million = 1,000,000]
Population of Manhattan = 1.64 million = 1640000
Area of Manhattan = 23 square miles
population density of Manhattan = 
Difference = 71304 - 28500 =42804
Hence, population density of Manhattan is 42804 people per square mile greater than that of New York City.
Answer:
cancer
Step-by-step explanation:
born july 2nd :)