LINES
point is a location in space. It has neither height nor length. If there are at least two
points on the plane, there is a line. A line is a set of points that follow a path, w enn
continues indefinitely in both directions. A portion of a line that has two endpo
ne segment. A ray is part of a line that has only one endpoint. In this section, we will
deal with straight lines, segments, and rays. Lines are identified by any two points on the
line. The points are written as uppercase letters, but a line can also be given a name
using a single lowercase letter. A line segment is identified by its two endpoints, and a ..
ray is labeled with the endpoint, which is written first, and another point on the ray.
m
Line segment BD
Ray HK
Line m or AB

the least common denominatore of 7 and 2 is 9

step-by-step explanation:

7+2=9

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204