The answer is D. this is because in order for the brackets to equal zero, you have to have a negative number inside.
Answer:
The coordinates of point C after dilation will be: (3,-1)
Step-by-step explanation:
Dilation in the coordinate plane can be defined as enlargement. There are different types of dilation. The most simple one is dilation from origin.
A factor is used to dilate a point from the origin. For example, if (x,y) is a point and a is the scale factor then the coordinates of points will be:
(x,y) => (ax,ay)
Given point is:
C(6,-2)
r = 1/2
The new coordinates of point C will be:
The coordinates of point C after dilation will be: (3,-1)
Answer:
140° and 50°
Step-by-step explanation:
The supplement of the angle (180 - x)
The complement of the angle = (90 - x)
(180 -x) = 4(90-x) - 60
180 - x = 360 -4x - 60
180 -x = 300 - 4x
180 - x + 4x = 300
180 + 3x = 300
3x = 120
x = 40
The supplement (180 - x) = 180 - 40 = 140°
The complement (90 - x) = 90 - 40 = 50°
No it is not always a mixed number if you add two mixed numbers
Answer:
(a) median = 6
(b) median = 14
(c) median = 37
(d) median = 19
(e) median = 4.5
(f) median = 15
(g) median = 126
(h) median = 345
(i) median = 50
(j) median = 75
Step-by-step explanation:
The median of the ungrouped data is obtained by arranging the numbers from the lowest to the highest number, then select the middle number. If you have two numbers in the middle, sum the two numbers and divide it by 2.
(a) in order: 3 4 4 6 7 8 8
median = 6
(b) in order: 11 11 12 14 15 16 17
median = 14
(c) in order: 31 31 34 37 38 41 42
median = 37
(d) in order: 17 17 18 19 19 21 23
median = 19
(e) in order: 3 3 3 4 5 6 7 9
median = (4 + 5) / 2 = 4.5
(f) in order: 12 14 14 14 16 18 19 20
median = (14 + 16)/2 = 15
(g) in order: 120 121 124 128 129 131
median = (124 + 128)/2 = 126
(h) in order: 321 339 342 345 352 358 362
median = 345
(i) in order: 43 46 49 49 51 51 51 52
median = (49 + 51)/2 = 50
(j) in order: 68 70 73 74 76 77 77 81
median = (74 + 76)/2 = 75