Answer:
-6 is the numeral cofficient
Answer:
The standard form of the ellipse is
.
Step-by-step explanation:
The major axis of the ellipse is located in the y axis, whereas the minor axis is in the x axis. The center of the ellipse is the midpoint of the line segment between vertices, this is:
(1)
If we know that
and
, then the coordinates of the center are, respectively:



The length of each semiaxis is, respectively:




The standard equation of the ellipse is described by the following formula:

Where:
,
- Coordinates of the center of the ellipse.
,
- Length of the orthogonal semiaxes.
If we know that
,
,
and
, then the standard form of the ellipse is:

Answer:
84
Step-by-step explanation:
Since we are given line OP perpendicular to line DR, then angles PDR and ODR are right angles.
Angles PDA and ADR are complementary.
Angles ODU and UDR are complementary.
Angles ADR and UDR are given as congruent.
We can conclude that angles PDA and ODU are congruent.
By AA Similarity, triangles APD and UMD are similar.
DP/DM = PA/MU
3.75/10 = 4.5/MU
3.75MU = 10 × 4.5
MU = 12 (altitude of triangle DUO)
OD = OM + MD = 4 + 10 = 14 (base of triangle DUO)
area = base × height / 2
area = 14 × 12 / 2
area = 84
Us the app desmos it’s good
A pound is a unit of weight, not volume.
Good luck!