Answer:
is there a picture because need to see it
Answer:
t = 0
Step-by-step explanation:
x = 10 − t²
dx/dt = -2t
y = t³ − 12t
dy/dt = 3t² − 12
dy/dx = (3t² − 12) / (-2t)
dy/dx = (12 − 3t²) / (2t)
dy/dx is undefined when the denominator equals 0.
2t = 0
t = 0
Answer:
Question 1:
The angles are presented here using Autocad desktop application
The two column proof is given as follows;
Statement
Reason
S1. Line m is parallel to line n
R1. Given
S2. ∠1 ≅ ∠2
R2. Vertically opposite angles
S3. m∠1 ≅ m∠2
R3. Definition of congruency
S4. ∠2 and ∠3 form a linear pear
R4. Definition of a linear pair
S5. ∠2 is supplementary to ∠3
R5. Linear pair angles are supplementary
S6. m∠2 + m∠3 = 180°
Definition of supplementary angles
S7. m∠1 + m∠3 = 180°
Substitution Property of Equality
S8. ∠1 is supplementary to ∠3
Definition of supplementary angles
Question 2:
(a) The property of a square that is also a property of a rectangle is that all the interior angles of both a square and a rectangle equal
(b) The property of a square that is not necessarily a property of all rectangles is that the sides of a square are all equal, while only the length of the opposite sides of a rectangle are equal
(c) The property of a rhombi that is also a property of a square is that all the sides of a rhombi are equal
(d) A property of a rhombi that is not necessarily a property of all parallelogram is that the diagonals of a rhombi are perpendicular
(e) A property that applies to all parallelogram is that the opposite sides of all parallelogram are equal
Step-by-step explanation:
Step-by-step explanation:
Line is intersecting x and y axes at points (-2, 0) & (0, 3)
![slope \: m = \frac{3 - 0}{0 - ( - 2)} = \frac{3}{2} \\ y - intercept = 3 \\ equation \: of \: line \: in \: slope \: intercept \\ form \: is : \\ y = mx + b \\ \: \: \: \: \huge \purple{ \boxed{ y = \frac{3}{2} x + 3}}\\](https://tex.z-dn.net/?f=slope%20%5C%3A%20m%20%3D%20%20%5Cfrac%7B3%20-%200%7D%7B0%20-%20%28%20-%202%29%7D%20%20%20%3D%20%20%5Cfrac%7B3%7D%7B2%7D%20%20%5C%5C%20y%20-%20intercept%20%3D%203%20%5C%5C%20equation%20%5C%3A%20of%20%5C%3A%20line%20%5C%3A%20in%20%20%5C%3A%20slope%20%5C%3A%20intercept%20%5C%5C%20form%20%5C%3A%20is%20%3A%20%20%5C%5C%20y%20%20%3D%20mx%20%20%2B%20b%20%5C%5C%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5Chuge%20%5Cpurple%7B%20%5Cboxed%7B%20y%20%20%3D%20%20%5Cfrac%7B3%7D%7B2%7D%20x%20%20%20%2B%203%7D%7D%5C%5C%20)
Or
y = 1.5x + 3