Answer:
a = 36
Step-by-step explanation:
We use pythagoras theorem here.
h = 60
p = 48
b = a
h² = p² + b²
60² = 48² + b²
3600 = 2304 + b²
b² = 3600 - 2304
b² = 1296
b = 36
The next number in the sequence is 36.
Starting from 1, the number increases by 3, 1 + 3 = 4. But the next number, the number it's being increased by increases by 2. 3 + 2 = 5, 4 + 5 = 9. And again, 5 + 2 = 7, 7 + 9 = 16. And again. 7 + 2 = 9, 16 + 9 = 25. Therefore, it is increased to + 11, and the next number is 36.
I hope this helped, and you have a great day!
Answer:
Please check explanations
Step-by-step explanation:
Here, we have three types of equations and three plotted graphs
we have a quadratic equation
an exponential equation
and a linear equation
For a quadratic equation, we usually have a parabola
The first equation is quadratic and as such the first graph that is parabolic belongs to it
For an exponential equation, we usually have a graph that rises or falls before becoming flattened
The second equation represents an exponential equation so the second graph is for it
Lastly, we have a linear equation
A linear equation usually has a straight line graph
Thus, as we can see, the third graph represents the linear equation
(p² + 3p + 6) + (2p² + 6p + 6)
First you must combine (aka sum) like terms. Like terms are numbers that have matching variables OR are numbers with out variables OR have matching variables with matching exponents. In this case the like terms are p² and 2p² (they both have the exponent p that is squared); 3p and 6p (they both have the variable p attached); and 6 and 6 (both numbers without variables)
(p² + 2p²) + (3p + 6p) + (6 + 6)
3p² + 9p + 12
Hope this helped!
~Just a girl in love with Shawn Mendes
