Answer:
F is at 3
Step-by-step explanation:
D F E
|________________|_________________|_________________|
-3 0 3 6
With a ratio of 2:3, there are 3 sections on this number line ( -3 to 0, 0 to 3, and 3 to 6). Where the second section is is where the ratio would fit, because section 2 of 3 is the ratio 2:3.
Use trigonometry to solve for x.
The tangent function is defined to be opposite side divided by the adjacent side.
tan(78) = x/10
tan(78)(10) = x
47.0463010948 = x
We now round off to two decimal places. In other words, we round off to the nearest tenths.
47.05 = x
Done!
Answer:
x=3
y=2
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
7. f(x) = mx + b; b acts as the vertical shift moving the graph up if b is positive and down if b is negative.
f(x) = x-2 has shifted the graph of f(x) down 2 units.
g(x) = x + 7 has shifted the graph up 7 units.
If f(x) is changed to g(x) the vertical shift has gone from -2 to + 7 or (7-(-2) = 9 units up
8. f(x) = mx stretches the graph by a factor of m if m > 0 and compresses the graph by a factor of m if 0<m<1
f(x) = 3x stretches the graph by a factor of 3.
g(x) = 1/4x compresses the graph by a factor of 1/4
Answer:
Step-by-step explanation:
We are given an expression and we have to transform it into an expression with exponent.
5th root of x can be written as 
![(\sqrt[5]{x^7})^3\\\\((x^7)^\frac{1}{5} )^3](https://tex.z-dn.net/?f=%28%5Csqrt%5B5%5D%7Bx%5E7%7D%29%5E3%5C%5C%5C%5C%28%28x%5E7%29%5E%5Cfrac%7B1%7D%7B5%7D%20%29%5E3)
The powers outside will be multiplied as: 
where the exponent is 
and it is a rational number by definition of rational numbers
