Answer:
Step-by-step explanation:
Hypotenuse² =base² + altitude²
(3x + 4)² = (2x + 1)² + (3x)²
{Use (a+b)² = a² + 2ab + b²}
(3x)² + 2*3x+4 + 4² = (2x)² + 2*2x*1 + 1² + 9x²
9x² + 24x + 16 = 4x² + 4x + 1 + 9x²
9x² + 24x + 16 = 13x² + 4x + 1
0 = 13x² + 4x + 1 - 9x² - 24x - 16
13x² - 9x² + 4x - 24x +1 - 16 = 0
4x² - 20x - 15 = 0
a = 4 ; b =-20 ; c = -15
D = b² - 4ac = (-20)² - 4*4*(-15) = 400 + 240 = 640
√D = √640 = 25.30
x = 5 .66 ; x = -0.66
Ignore x = -0.66 as length of a side cannot be negative
Answer : x = 5.66
What are the answer choices ?
3/4+1/3=9/12+4/12=13/12 of an hour
13/12= 1 1/12
Answer:
<u>The correct answer s B. 2.21</u>
Step-by-step explanation:
There are three steps to calculate the standard deviation of the set of data given.
n = 5 (5 numbers in the set)
1. Calculate the mean, this way:
(1.2 + 2.3 + 5.2 + 6.6 + 4.8)/5 = 20.1/5 = 4.02
μ = 4.02
2. Calculate the variance, this way:
Sum of the squared difference between each number of the set and the mean divided by the number of elements of the sample minus one.
[(1.2 - 4.02)² + (2.3 - 4.02)² + (5.2 - 4.02)² + (6.6 - 4.02)² + (4.8 - 4.02)²]/4 =
19.568/4 = 4.892
σ² = 4.892
3. Finally, the standard deviation. this way:
Standard deviation is the square root of the variance.
σ² = 4.892
√σ² = √4.892
σ = 2.21
<u>The correct answer s B. 2.21</u>
Answer:
see explanation
Step-by-step explanation:
A recursive rule allows us to find the term in a sequence from the previous term.
From the given geometric sequence find r the common ratio
r = 
= 
= - 4
Hence recursive rule is
= - 4
( a₁ = 
)
