Answer:
y = -x - 4
Step-by-step explanation:
First find the slope
y - 4 = (x - 6)
y - 4 = x - 6
y = x - 6 + 4
y = x - 2 (y = mx + C)
Slope m = 1
It is said that the line is perpendicular to a point ( -2, -2)
If two lines are perpendicular, their slope will be negative reciprocal
The negative reciprocal of slope = 1 is -1
Using a slope intercept form as requested by the question
y = mx + C
Inserting the values given
(-2, -2)
We are using point slope form
y - y_1 = m ( x - x_1)
x_1 = -2
y_1 = -2
m = -1
Insert the values
y - ( -2)) = -1( x - (-2))
y + 2 = -1 ( x + 2)---- point slope form
But we are requested to give the answer in slope intercept form
y = mx + C
We have to open the bracket
y + 2 = -1(x + 2)
y + 2 = -x - 2
y = -x - 2 - 2
y = -x - 4 ( slope - intercept form)
Answer:
The area of the trapezoid is 57.5 square inches
Step-by-step explanation:
we know that
The trapezoid QRST can be divided into a rectangle QRDT and an isosceles right triangle RSD
see the attached figure to better understand the problem
step 1
The area of rectangle is given by the formula

we have
----> altitude

substitute

step 2
Find the area of the isosceles right triangle
The area of triangle is given by the formula

we have
---> because is an isosceles triangle
substitute

step 3
Adds the areas

This formula only applies if the track is circular. If it is, then we write the equation:
2*r*pi=400
Dividing by 2pi, we see that:
r=200/pi
This is approximately 63.66.
Answer:
B: The mean study time of students in Class B is less than students in Class A.
Step-by-step explanation:
To find out why answer B is the right answer, I will give you facts from each option.
Option A is false. <em>The mean study time in Class A is 4.8. Meanwhile in Class B it is 4. For Class A, sum up the 20 study times which is 96 and divide them by 20, you will get 4.8 hours of mean study time. For Class B, the sum of the 20 study times is 80, which divided by 20 will be 4.
</em>
Option B is True. <em>See previous explanation.
</em>
Option C is False. <em>The median study time in Class B is 4. The median study time in Class A is 4.8,
</em>
Option D is False. <em>The range in Class A is from 2 to 8. The range in Class B is from 2 to 7.
</em>
Option E is False: <em>The mean and median study time of these classes is different.</em>
Step-by-step explanation:
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