Answer:
(b) 4.2
Step-by-step explanation:
The distance from a point to a line can be found using the formula. To use it, we need the equation of the line in general form.
We notice that the coordinates of the given points have the same y/x = 2/3 ratio. This means they lie on the line y = 2/3x. The equation for that line, written in general form is ...
y = 2/3x
3y = 2x
2x -3y = 0 . . . . . . general form equation for the line through the points.
The formula for the distance from (x, y) to the line ax+by+c=0 is ...
d = |ax +by +c|/√(a²+b²)
The distance from (x, y) to our line is given by the formula ...
d = |2x -3y|/√(2² +(-3)²)
d = |2x -3y|/√13
For point P(9, 11), the distance to the line is ...
d = |2·9 -3·11|/√13 = |18 -33|/√13 = 15/√13 ≈ 4.2
Answer:
(a) 
(b) 
Step-by-step explanation:
Given
Solving (a): Reflect across x and y-axis.
Reflection across x-axis has the following rules
So, we have:
Reflection across y-axis has the following rules
So, we have:
Hence, the new point is: (-4,-3)
Solving (b): Rx . Do,2 (2,4)
reflect across the x-axis
Reflection across x-axis has the following rules
So, we have:
---- when P is reflected across the x-axis
dilate by a scale factor of 2
The rule is:
So, we have
Open bracket
Answer:
We cannot infer at the 10% significance level that the assumption of ski centers is wrong
Step-by-step explanation:
The null hypothesis for this question can be stated as
Null hypothesis H0: =4
Alternate hypothesis Ha:
The test is two tailed
Standard Deviation –
= 2
z=(4.84-4)/(2/sqrt(63))
=3.33
Z(0.1/2)=1.645 is less than Z =3.334
Hence, we will reject H0
Hence, the average growth skier ski’s four times a year is not true
By solving the equation:
4b + 6 = -2
4b = -2 - 6 (taking 6 from each side)
4b = -8
b = -2 (divide both sides by 4)
Look up online "equation calculator" and it should be the first one to appear, "Symbolab" supper easy way to help you with problems!
