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
Answer:
m = 40
Step-by-step explanation:
The triangle inside the circle has 2 equal sides ( the radii ) of the circle, thus
The base angles are congruent both 50°
The 3 angles on the tangent sum to 180°, so
m + 50 + 90 = 180
m + 140 = 180 ( subtract 140 from both sides )
m = 40
Answer:
16.9265381881
Step-by-step explanation:
Tangent = Opposite/Adjacent.
Thus, tan62 = x/9 --> tan62 = 1.88072646535, multiply by 9 to get x, 1.88072646535* 9 = 16.9265381881
Answer:
Width = 2 feet
Length = 6 feet
Explanation:
Variables:
Perimeter = p
Length = l
Width = w
Equation:
2w + 2l = p
It is given that:
l = 3w
and
p = 16 feet
With this information, we can rewrite the equation (substitute)
2w + 2(3w) = 16
Simplify
2w + 6w = 16
Add
8w = 16
Divide both sides of the equation by 8
Width = 2 feet
Length = 3(w) = 3(2) = 6 feet
Hope this helps :)
