One for 5.8 and one for 1.2
Hope this helps
Answer: 15
Step-by-step explanation:
First step is to find the slope of the line given
y = -x - 2
y = mx + c where m is the slope of the line so the slope of the line is -1
If 2 lines are perpendicular to one another, the product of the slopes is -1 so the slope of the perpendicular line is -1/-1 = 1
y = 1x + c or y = x + c
As the line passes through the coordinate (-5,10), we can substitute the x and y value of the coordinates into the equation
10 = -5 + c
c = 15
So the equation of the line is y = x + 15
Answer:
They're all 45
Step-by-step explanation:
since the lines are perpendicular all angles are equal
The equation of the circle is (x - 1)^2 +(y + 9)^2 = 144
<h3>How to determine the circle equation?</h3>
The given parameters are:
Center, (a,b) = (1, -9)
Radius, r = 12
The circle equation is calculated as:
(x - a)^2 + (y- b)^2 = r^2
This gives
(x - 1)^2 +(y + 9)^2 = 12^2
Evaluate the exponent
(x - 1)^2 +(y + 9)^2 = 144
Hence, the equation of the circle is (x - 1)^2 +(y + 9)^2 = 144
Read more about circle equations at:
brainly.com/question/10618691
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Answer:
There is enough evidence to infer at the 10% significance level that the population mean is greater than 23
Step-by-step explanation:
Given that the sample mean is 26 and sample std dev = 9
i.e
(Right tailed test at 10% significance level)
Mean diff = 3
Test statistic t = 
Critical region is t>1.310
df 31
p value = 0.034
Since p <0.10 reject null hypothesis
There is enough evidence to infer at the 10% significance level that the population mean is greater than 23
Critical region is in the enclosed file
