Answer:
The equation of the line is y = 1/4x - 4
Step-by-step explanation:
In order to find this, start with two points that are on the line. We'll use (0, -4) and (4, -3). Now we can use the slope formula to find the slope.
m(slope) = (y2 - y1)/(x2 - x1)
m = (-4 - -3)/(0 - 4)
m = -1/-4
m = 1/4
Now that we have this, we can use that slope and a point in point-slope form. Then we solve for y to get the equation.
y - y1 = m(x - x1)
y - -4 = 1/4(x - 0)
y + 4 = 1/4x
y = 1/4x - 4
1. 90°
2. 5.74
3. 90°
4. 7
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Answer:
T<45
Step-by-step explanation:
More than is a greater than symbol
Answer:
x² + (y+3)² = 4²
Step-by-step explanation:
A close look at the diagram reveals that the center of this circle is (0, -3) and that the radius is 4 units.
Starting from the general equation of a circle, (x - h)² + (y - k)² = r²
and substituting the givens (h = 0, k = -3, r = 4), we get:
x² + (y+3)² = 4². This is Answer B.
Part a)
MAD = median of absolute deviations
MAD = median of the set formed by : |each value - Median|
Then, first you have to find the median of the original set
The original set is (<span>38, 43, 45, 50, 51, 56, 67)
The median is the value of the middle (when the set is sorte). This is 50.
Now calculate the absolute deviation of each data from the median of the data.
1) |38 - 50| = 12
2) |43 - 50| = 7
3) |45 - 50| = 5
4) |50 - 50| = 0
5) |51 - 50| = 1
6) |56 - 50| = 6
7) |67 - 50| = 17
Now arrange the asolute deviations in order
(0, 1, 5, 6, 7, 12, 17)
The median is the value of the middle: 6.
Then the MAD is 6.
Part b) MAD represents the median of the of the absolute deviations from the median of the data.
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