Answer:
centre = (-5, -4)
radius = 7.42
Step-by-step explanation:
The general form for center-radius is
(x - h)² + (y - k)²= r²
Center = (h, k)
Radius = r
Rearrange the equation.
(x² + 10x) + (y² + 8y) - 14 = 0
Add 14 on both sides.
(x² + 10x) + (y² + 8y) = 14
(10/2)² = 25
(8/2)² = 16
Add 25 and 16 to both sides.
(x² + 10x + 25) + (y² + 8y + 16) = 14 + 25 + 16
Factor left side of the equation.
(x+5)² + (x+4)² = 55
(55) = (7.416198)²
(x+5)² + (x+4)² = 7.42²
The radius is 7.42.
The centre is at (-5, -4).
<h2>
Answer with explanation:</h2>
Given : Sample size : n = 36
Significance level for 90% confidence :
Sample mean :
Standard deviation :
By using standard normal table for t-values,
Critical t-value :
Thus, the correct value of t to construct a 90% confidence interval for the true mean percentage of cacao :
Confidence interval for population mean :
Hence, A is the correct answer .
I'm not quite sure what this question means, but d = rt is a formula used to calculate the distance. the variables here are d for distance, r for rate, and t for time. if you need to solve it for t:
d = rt ... divide both sides by the rate (r)
(d/r) = t ... is your result
Y = 3
find -2 on the x plane, and match the point, then get your y
hope this helps