Answer:
Graph (1)
Step-by-step explanation:
Given rule for the rotation of a figure is,
A(x, y) → A'(-y, x)
This rule defines the rotation of point A by 90° counterclockwise about the origin.
Coordinates of point A → (-2, 0)
Coordinates of point C → (-1, 0)
Following the rule of rotation,
A(x, y) → A'(-y, x)
A(-2, 0) → A'(0, -2)
C(-1, 4) → C'(-4, -1)
Now search the image points from the graphs attached,
Graph (1) will be the answer.
Answer:
( 8 , - 8) => x² - 55 = 9
( 4 , - 4) => 2x² - 32 = 0
(5 , - 5) => 4x² - 100 = 0
(11 , - 11) => x² - 140 = -19
( 3, - 3) => 2x² - 18 = 0
Step-by-step explanation:
1)
x = ( 4 , - 4)
2)
x = ( 5 , - 5 )
3)
x= ( 8 , - 8)
4)
x = ( 11 , -11)
5)
x = ( 3 , - 3)
Answer:
(2) angle1 = 139, angle2 = 41, angle4 = 41, angle5 = 139, angle6 = 41, angle7 = 139, angle8 = 41
(3) angle1 = 150, angle2 = 30, angle4 = 30, angle5 = 150, angle6 = 30, angle7 = 150, angle8 = 30
Step-by-step explanation:
All angle are either equal to each other or supplementary. I use corresponding angles and vertical angles to prove each of the above.
For number 3, angle 3 and angle 8 are supplementary, so they add up to 180:
8x +70 + (4x - 10) = 180
12x + 60 = 180
12x = 120
x = 10
So if x = 10, then 8x + 70 = 8(10) + 70 = 150
That means all angles are either 150 or 30 for number 3.
Answer:
$21.57
Step-by-step explanation:
4.5 (1.22) + 0.8 (1.70) + 4.6 (3.20) =
5.49 + 1.36 + 14.72
21.57
Answer:
b = +5
Step-by-step explanation:
8b^2=193+7
8b^2=200
b^2= 200/8
b^2=25
b=√25
b=+5
