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Answer:
a) There is no solution to the equation.
b) Solution: x = 16
Step-by-step explanation:
Hi there!
a) Let´s write the equation:
√(x + 5) - 9 = -12
add 9 to both sides of the equation
√(x + 5) = -12 + 9
√(x + 5) = -3
Square both sides of the equation
x + 5 = 9
Subtract 5 to both sides
x = 9 - 5
x = 4
Let´s check the solution:
√(x + 5) - 9 = -12
√(4 + 5) - 9 = -12
√9 - 9 = -12
3 - 9 = -12
-6 ≠ -12
Then x = 4 is not a solution to the equation.
b) Let´s write the equation:
√(4x - 7) = √(3x + 9)
square both sides of the equation
4x - 7 = 3x + 9
subtract 3x and add 7 to both sides of the equation
4x - 3x = 9 + 7
x = 16
Let´s check the solution:
√(4x - 7) = √(3x + 9)
x = 16
√(4(16) - 7) = √(3(16) + 9)
√57 = √57
Then x = 16 is the solution to the equation
The handshake is an illustration of combination, and the values of n and r are 21 and 2, respectively
<h3>How to determine the values of n and r?</h3>
The number of students in the class is 21.
This represents the value of n
i.e. n = 21
Each student shakes hand with another student (i.e. 2 students per handshake)
This represents the value of r
i.e. r = 2
Hence, the values of n and r are 21 and 2, respectively
Read more about combination at:
brainly.com/question/11732255
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Recall, The arc length [s] of a section of a circle is equal to the circles radius [r] times the central angle [theta] that the arc subtends. in radians.
r = 2.5 m.
s = 3 m.
