Step-by-step explanation:
Equation for circle centered at origin:
x² + y² = r².
Therefore r² = (-4)² + (-2)² = 20, r = √20.
Hence d = 2r = 2√20 = 8.94 (2d.p.)
150 is the amount of interest earned for one year because the formula of PRT is, in this case 5000 times 0.03 times one which gets you the answer of 150.
Answer:
The equation has no solution.
Step-by-step explanation:
Hi there!
First, let´s write the equation:
(√x + 3) + 6 = 3
To solve the equation, let´s subtract 6 to both sides of the equation:
√x + 3 = -3
subtract 3 to both sides of the equation:
√x = -6 (the square root of any number can´t be negative, but let´s solve it anyway and then check the solution).
Square both sides of the equation:
x = 36
Now, let´s check the solution:
(√x + 3) + 6 = 3
x = 36
(√36 + 3) + 6 = 3
(6 + 3) + 6 = 3
9 + 6 = 3
15 ≠ 3
Then, the equation has no solution.
Have a nice day!
The catapult arm length for their tennis balls to cover the same distance is 32.3 feet.
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
Given the equations:
Aiden: y = 2.3x + 160.7
Natalie: y = 3.6x + 202.6
For their tennis balls to cover the same distance:
2.3x + 160.7 = 3.6x + 202.6
1.3x = -41.9
x = -32.3
The catapult arm length for their tennis balls to cover the same distance is 32.3 feet.
Find out more on linear equation at: brainly.com/question/14323743
