9514 1404 393
Answer:
h(-5) = 129
Step-by-step explanation:
Put -5 where x is and do the arithmetic.
h(-5) = 4(-5)² -5(-5) +4
h(-5) = 4(25) +25 +4 = 129
The answer to your question is 8.1
Answer: 36÷4=9
Step-by-step explanation:
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Answer: -4 (choice B)</h3>
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Explanation:
The table says that when x = 1, the output is y = -2.
So the point (1, -2) is on the parabola.
The table also says that point (3, -10) is on the parabola. We're focusing on this because x = 3 is the other endpoint.
Find the slope of the line through those two points. The slope here is the same as the average rate of change.
m = (y2 - y1)/(x2 - x1)
m = (-10 - (-2))/(3 - 1)
m = (-10 + 2)/(3 - 1)
m = -8/2
m = -4 is the slope, and therefore, the average rate of change from x = 1 to x = 3.
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: