Answer:
La máquina llenó:
6 baldes
Step-by-step explanation:
Por regla de tres:
4 baldes son a 30 minutos
M baldes son a 45 minutos
M = 45*4/30
M = 180/30
M = 6
B) rotation
C) reflection
D) translation
24 . The waiter places a bowl of soup in front of Abbey. In a counterclockwise direction, she passes the soup to Kai who then passes it to Haifa. Which two rotations about the center of the table describe passing the soup?
A) first 72° and then 108°
B ) first 40° and then 60°
C) first 80° and then 120°
D) first 60° and then 90°
25. The waiter places a bowl of soup in front of Lacy. In a counterclockwise direction, she passes the soup 90°. The person receiving the soup passes it 30°. After the two passes, the soup is in front of which person?
A) Garret
B) Darcy
C) Igor
D) Haifa
28. What are the coordinates of the vertices of the triangle under the translation (x, y) ---> (x - 1, y - 3)
A)(0, -8), (-1, -1), (-5, -4)
B) (-8, 0), (-1, -1), (-4, -5)
C) (5, -4), (0, 0), (5, 4)
D) (-4, 5), (0, 0), (4, 5)
29.What is the reflection image of P(0, 0) after two reflections, first across x = -3 and then across y = 4?
A) (-8, -6)
b) (4, -3)
C) (4, -6)
D) (-6, 8)
Answer:
22) (B)
24) (D)
25) (D)
28) (B)
29) (D)
Step-by-step explanation:
22) Firstly, the figure is reflected across line m and then the figure is reflected across line n.
The resultant figure is a rotated figure of original figure
(B) Rotation
24) Since there are 12 people sitting in a circle
Total circular angle = 360°
Angle between two people = 360/12 = 30°
Therefore, from Abbey to Kai there are 2 people between them. Hence, angle covered = 60°
From Kai to Haifa there are 3 people.
Angle covered = 90°
(D) is correct
25) Lacy passes the soup in 90° counterclockwise and then 30°.
Now soup is in front of Haifa.
(D) is correct
28)
Coordinates are ((0,2) -----> (x-1,y-3) = (-1,-1)
(-7,3) -------------> (x-1,y-3) = (-8,0)
(03,-2) --------> (-4,-5)
(B) is correct
Reflection of P(0,0) across x= -3, gives the point( -6,0)
And reflection across y=4, gives the point (0,8)
Together the reflected point is P(-6,8).
(D) is correct
Answer:
x=-12 x =2
Step-by-step explanation:
-x^2-10x+24=0
Divide by -1
x^2 +10x -24 = 0
Factor
What 2 terms multiply to -24 and add to 10
12 * -2 = -24
12 -2 = 10
(x+12) ( x-2) = 0
Using the zero product property
x+12 =0 x-2 =0
x=-12 x =2
If the and are even function then is an even function, if and are odd function then the function is an odd function and if is even and is odd then the function is an even function.
Further explanation:
An even functrion satisfies the property as shown below:
An odd functrion satisfies the property as shown below:
Consider the given composite function as follows:
If both the function and are even function.
From the above calculation it is concluded that,
This implies that the composite function is an even function.
If both the function and are odd function.
From the above calculation it is concluded that,
This implies that the composite function is an odd function.
If the function is even and is odd.
From the above calculation it is concluded that,
This implies that the composite function is an even function.