Answer:
Q' (12,8) , R'( 24,20) and S' (24,8)
Step-by-step explanation:
Here, we want to get the coordinates of the image after dilating the pre-image by a scale factor of 4
What we have to do here is to multiply each of the coordinate on the pre-image by 4
We have this as;
Q' = (4*3, 2 * 4) = (12,8)
R' = (4*6, 4*5) = (24,20)
s' = (4*6, 4*2) = (24,8)
Answer:
58.0 units
Step-by-step explanation:
In order to use the law of sines, we need to know angle C. It will be the angle that brings the total of all angles to 180°.
C = 180° -A -B = 180° -72° -16°
C = 92°
The law of sines tells us ...
a/sin(A) = c/sin(C)
a = c·sin(A)/sin(C) = 61·sin(72°)/sin(92°)
a ≈ 58.0 . . . . units
Answer:
x=-1, x=3, x=4
Step-by-step explanation:
1. Substitute 0 for f(x)
0=(x+1)(x-3)(x-4)
2. Set each set of parenthesis equal to 0
0=x+1, 0=x-3, 0=x-4
3. Solve for x
x=-1, x=3, x=4
F = 1.8F + 32
F - 1.8F = 1.8F - 1.8F + 32
-0.8F = 32
-0.8F / -0.8= 32 / -0.8
F = -40
Y=a (x-h)^2+k
y=a (x-3)^2+(-12)
plug in your point (0,6)
6=a (0-3)^2-12
6=a (9)-12
6=a (9) also seen as
6= 9a-12
now add 12 on both sides
18=9a
divide
2=a
y=2 (x-3)^2-12
