Answer:
Solution given:
For rectangle
length [L]=BC=16in
breadth [b]=AB=4in
For traingle
length[l]=8in
breadth [b]=3in
total area =area of rectangle ABCD+2×area of triangle DEF
=L×b+2×1/2×[b×h]
=16×4+8×3=88in² is your answer
Answer:
103
Step-by-step explanation:
Interior angles of a pentagon add up to 540
117+100+105+115+x=540
437+x=540
Subtract 437 from both sides
x=103
Riley's age = r
Riley's brother's age = r/4
If Riley was 11 five years ago, Riley is currently 11 + 5 years old, or 16 years old.
Now we just need to use r/4 to find Riley's brother's age:
16 /4 = 4
Riley's brother is 4 years old.
Hope this helps!
Answer:
B Domain: (-∞, ∞)
Range: (0,∞)
Step-by-step explanation:
Exponential functions are curves which approach a horizontal asymptote usually at y=0 or the x-axis unless a value has been added to it. If it has, the curve shifts. This function has addition on the exponent but not to the whole function so it does not change the asymptote. Its y - values remain between 0 and ∞. This is the range, the set of y values.
However, the range of exponentials can change based on the leading coefficient. If it is negative the graph flips upside down and its range goes to -∞. This doesn't have it either.
The addition to 1 on the exponent shifts the function to the left but doesn't change the range.
In exponential functions, the x values are usually not affected and all are included in the function. Even though it shifts, the domain doesn't change either. Its domain is (-∞, ∞).
Domain: (-∞, ∞)
Range: (0,∞)
When making a table, be on the safe side and do 2 positive and 2 negative x values.
Choose an x value and substitute it into the equation. The value of y is the y-value.
(3, 0)
(0, 1)
(-3, 2)
(-6, 3)
Then, choose two points and draw a straight line through them, you have a graph.
Hope this helps!