Answer:
The answer is D
Step-by-step explanation:
Plug any x value for the y values of f(x) and g(x)
Let's do 0 since it is easier.
f(x)=-2(0)-4=-4
g(x)=-2(0)+2=2
So, g(x) is 6 greater than f(x).
Thus, g is most likely moved 6 units up from f.
Graph the 2 functions on Desmos for a better picture.
Answer:
19.2
Step-by-step explanation:
You use the pyth.
15^2+12^2=369
Then find the square root of 392 which is 19.2
I hope this helps! have a good day :)
Answer:
x=11
Step-by-step explanation:
Notice that the first diagram is similar with the second diagram with ratio 1:2
Ex: Side length of JK is 6 and NP being 12, 6:12→1:2
You can conclude that x:22 needs to follow the ratio of 1:2
Thus, x=11
We know that
case 1)
Applying the law of sines
a/Sin A=b/Sin B
A=56°
a=12
b=14
so
a*Sin B=b*Sin A----> Sin B=b*Sin A/a---> Sin B=14*Sin 56°/12
Sin B=0.9672
B=arc sin (0.9672)------> B=75.29°-----> B=75.3°
find angle C
A+B+C=180°-----> C=180-(A+B)----> C=180-(56+75.3)----> C=48.7°
find c
a/Sin A=c/Sin C----> c=a*Sin C/Sin A----> c=12*Sin 48.7°/Sin 56°)
c=10.87-----> c=10.9
the answer Part 1)
the dimensions of the triangle N 1
are
a=12 A=56°
b=14 B=75.3°
c=10.9 C=48.7°
case 2)
A=56°
a=12
b=14
B=180-75.3----> B=104.7°
find angle C
A+B+C=180°-----> C=180-(A+B)----> C=180-(56+104.7)----> C=19.3°
find c
a/Sin A=c/Sin C----> c=a*Sin C/Sin A----> c=12*Sin 19.3°/Sin 56°)
c=4.78-----> c=4.8
the answer Part 2)
the dimensions of the triangle N 2
are
a=12 A=56°
b=14 B=104.7°
c=4.8 C=19.3°
