Answer:
B) 
x units
Step-by-step explanation:
Let quadrilateral KMPT be a rectangle with dimensions 12 units by 8 units. Then its perimeter would be equal to:
Perimeter of a rectangle = 2 (l + b)
where: l is the length = 12 units and b is the breadth = 8 units. So that:
Perimeter of KMPT = 2 (12 + 8)
= 40 units
Dilating KMPT by a scale factor of would create K'M'P'T' of dimensions; × 12 units by × 8 units. Thus, the dimensions of K'M'P'T' would be 9 units by 6 units.
Perimeter of K'M'P'T' = 2 (l + b)
= 2(9 + 6)
= 30 units
Comparing the perimeters of KMPT and K'M'P'T', the perimeter of K'M'P'T' would be × perimeter of KMPT.
Therefore, if the perimeter of KMPT is x units, then;
perimeter of K'M'P'T' = * x units
= x units
Answer:
-78
Step-by-step explanation:
-78 - 20 = -98 which is less than -37,
im sorry this answer might be wrong i tried my best
Its 14 (20 chars limit thing)
Its B! They have to multiply to get 96 and b is the only one that also adds to get 40
Answer:
1). Increases
2). Slope = 4
3). Slope = -1
4). y = 4 when x = 5
Step-by-step explanation:
1). Initially, as x increases, y also increases. (Linear growth has been shown in the graph initially).
2). Afterward, the slope of the graph of the function is equal to 4 for all x between x = 3 and x = 5.
[Slope of the line passing through two points (3, 0) and (5, 4)
m = \frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}
(x
2
−x
1
)
(y
2
−y
1
)
= \frac{4-0}{5-3}
5−3
4−0
= \frac{4}{1}
1
4
= 4 ]
3). The slope of the graph is equal to -1 for x between x = 5 and x = 9.
[Slope of the line passing through two points (5, 4) and (9, 0),
Slope = \frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}
(x
2
−x
1
)
(y
2
−y
1
)
= \frac{4-0}{5-9}
5−9
4−0
= -\frac{4}{4}
4
4
= -1 ]
4). The greatest value of y is y = 4, and it occurs when x = 5. (From the given graph)
