Answer:
Both functions have one x-intercept each.
Step-by-step explanation:
The first function is

This is a parabola with vertices at the origin and has one x-intercept at t=0.
The transformed function is

The function g(t) is obtained by shifting the graph of f(t) to the left by 3 units.
This graph also has one x-intercept at x=-3.
Therefore both functions has the same number of x-intercepts
One of the unknown angles (let's called it n) has a complement (meaning their sum adds up to 90 degrees) and the other angle is 8 times the unknown angle (8n)
With all this information, you should have the equation:
n + 8n = 90
To solve, combine like terms to get:
9n = 90
Divide by 9 on both sides to isolate the variable n.
n = 10
Now we plug back in to find our angle measurements. The first angle, n, is 10 degrees. The second angle, 8n, is 8 * 10 which is 80; the second angle is 80 degrees.
1:3 = 16/48 and 1/3.
Have a nice day! :D
Answer:
2) 
3) 5√2
Step-by-step explanation:
Simplest radical form of an expression is the expression in radical so that there are no more square roots, cube roots, 4th roots, etc left to find, after rationalising the denominator ( if needed ).
2. Here the given expressions,

For rationalising the denominator multiply both numerator and denominator by √11,

3. given expression,




C since that's the only triangle where A^2+B^2=C^2 (36+64=100).