Answer:
D. It has a constant slope.
Step-by-step explanation:
We have to find the characteristic which states that the graph of a function must be linear.
The four characteristics given in the question are;
A. It passes through the origin
B. It crosses the x-axis more than once.
C. It crosses the y-axis exactly once
D. It has a constant slope.
If we consider the first characteristic that it passes through the origin
, then the graph of a function will not be linear because it will contain two variables.
If we consider the second characteristic that it crosses the x-axis more than once
, then the graph of a function will not be linear because it will then be a parabola or a curve function and will not have a linear function.
If we consider the third characteristic that it crosses the y-axis exactly once
, then the graph of a function will not be linear because it may cross the x-axis twice.
If we consider the fourth characteristic that it has a constant slope
, then the graph of a function will be linear because it will not change it's form and will have a constant slope linear function.
Answer:
The width is: 
The length is 
Step-by-step explanation:
The given rectangle has area given algebraically by the function:
The width of the rectangle is the greatest common factor of 
, 
and 
That is the width is:
We now divide the area by the width to obtain the length of the rectangle:
This simplifies to:
Answer:
The volume of a rectangular prism is simply the product of its three dimensions: in your case, the volume of the prism is, given
x
,
(
x
+
6
)
(
x
−
2
)
(
x
−
1
)
.
A polynomial is a sum (with some coefficients) of powers of
x
, so, if we expand the product just written, we have
(
(
x
+
6
)
(
x
−
2
)
)
(
x
−
1
)
=
(
x
2
−
2
x
+
6
x
−
12
)
(
x
−
1
)
=
(
x
2
+
4
x
−
12
)
(
x
−
1
)
=
x
3
+
4
x
2
−
12
x
−
x
2
−
4
x
+
12
=
x
3
+
3
x
2
−
16
x
+
12
Which is a polynomial, and expresses the volume of the prism
Step-by-step explanation:
The volume of a rectangular prism is simply the product of its three dimensions: in your case, the volume of the prism is, given
x
,
(
x
+
6
)
(
x
−
2
)
(
x
−
1
)
.
A polynomial is a sum (with some coefficients) of powers of
x
, so, if we expand the product just written, we have
(
(
x
+
6
)
(
x
−
2
)
)
(
x
−
1
)
=
(
x
2
−
2
x
+
6
x
−
12
)
(
x
−
1
)
=
(
x
2
+
4
x
−
12
)
(
x
−
1
)
=
x
3
+
4
x
2
−
12
x
−
x
2
−
4
x
+
12
=
x
3
+
3
x
2
−
16
x
+
12
Which is a polynomial, and expresses the volume of the prism
Answer:
Step-by-step explanation:
By definition, tangent lines touch a circle at one point. This one point intersects the circle at a 90 degree angle.
In any circle, the measure of an inscribed angle is exactly half of the arc it forms. Since 
forms an arc labelled 244 degrees, the measure of angle 2 must be 
.
Angle 1 and 2 form one side of a line. Since there are 180 degrees on each side of the line, we have:
Answer:
The answer is 2550
Step-by-step explanation:
Add 1200 and 1350 it'll give you 2550
