Answer:
x = -7 - 17/20 or -157/20
Step-by-step explanation:
2x/3 - 3.2 = -8.1
2x - 9.6 = -24.3
20x - 96 = -243
20x = -157
x = -157/20
x = -7 - 17/20
Answer:
Answer and explanation with steps are in the following attachments
Step-by-step explanation:
Given
P(1,-3); P'(-3,1)
Q(3,-2);Q'(-2,3)
R(3,-3);R'(-3,3)
S(2,-4);S'(-4,2)
By observing the relationship between P and P', Q and Q',.... we note that
(x,y)->(y,x) which corresponds to a single reflection about the line y=x.
Alternatively, the same result may be obtained by first reflecting about the x-axis, then a positive (clockwise) rotation of 90 degrees, as follows:
Sx(x,y)->(x,-y) [ reflection about x-axis ]
R90(x,y)->(-y,x) [ positive rotation of 90 degrees ]
combined or composite transformation
R90. Sx (x,y)-> R90(x,-y) -> (y,x)
Similarly similar composite transformation may be obtained by a reflection about the y-axis, followed by a rotation of -90 (or 270) degrees, as follows:
Sy(x,y)->(-x,y)
R270(x,y)->(y,-x)
=>
R270.Sy(x,y)->R270(-x,y)->(y,x)
So in summary, three ways have been presented to make the required transformation, two of which are composite transformations (sequence).
Answer:
f(0) = 12
Step-by-step explanation:
You want to substitute 0 for x
f(0) = 5(0) + 12
f(0) = 12
See, pls, this:
If ∠y=∠CBD, then in
ΔABX: ∠A=40°; ∠X=90° ⇒ ∠ B=180-(40+90)=50°.
∠B of ΔABX=∠CBD=∠y=50°.
Answer: 50°.
