Answer:
D. The graph of function
is the graph of function
shifted 4 units to the left.
Step-by-step explanation:
the function
is composite function between
and
, then you can re-write
as:

The transformation happened in the input, then you have an horizontal shifted and how it's adding 4 units then you go "faster" and move to left the graph.
In the image you can see what's mean sum a constant in the
of a function.
1. By the Law of Sines, you have:
SinA/a=SinB/b=SinC/c
2. You don't need the fraction SinC/c, so you can eliminate it. Then:
SinA/a=SinB/b
A=40°
a=19
B=m∠b
b=13
3. When you substitute this values into SinA/a=SinB/b, you obtain:
SinA/a=SinB/b
Sin(40°)/19=SinB/13
SinB=13xSin(40°)/19
m∠b=SinB^-1(13xSin(40°)/19)
m∠b=26.1°
Therefore, the answer is: 26.1 degrees.
<h2>
Hello!</h2>
The answer is:
The total area is:

<h2>
Why?</h2>
To find the cloasest value to the total surface area that will be painted, we need to calculate the area of a single sphere, and then, multiply it by 5.
We know that the diameter of each sphere is 7 centimeters, so, calculating we have:
Calculating the radius we have,

Then, calculating the area, we have:


Now that we have calculated the surface area of a single sphere, we need to calculate the area of the five spheres.
So, calculating we have:

Hence, the total area is:

Have a nice day!
Answer:
A = 15 B = 25 in four years 19+29 = 48
Step-by-step explanation:
age A and B ratio is 3 to 5
A+4 + B+4 = 48
A + B = 40
A/B = 3/5 A = 3B/5
A + B = 40
3B/5 + B = 40
3B + 5B = 200 multiple both sides by 5
8B = 200
B = 25
A = 3B/5
A = 3(25)/5
A = 15
Step-by-step explanation:
y = 2x - 15
4x + 3y = -5
4x + 3(2x - 15) = -5
4x + 6x - 45 = -5
10x = 40
x = 40/10
x = 4
y = 2x - 15
y = 2(4) - 15
y = 8 - 15
y = -7
Solution = (4,-7)
Option → C