So, point S seems to be the top left corner of a 4 sided trapezoid. If you graph this then it may be easier to imagine. Dilate means to get bigger, if you have trouble remembering this, think about how the pupil dilates when you’re in a dark room. (It gets bigger). So this shape is dilated about the origin which means that points that have 0’s in them now (for example (0,0) or (5,0) ) are only going to change for the number that isn’t a 0. So (0,0) dilated by any factor is still (0,0). But if a point was at (0,5) and dilated by a factor of 2, the new point would be (0,10). This is only the case if the shape is dilated around the origin. (Origin is at point (0,0) ). So point S we can see (0,14) has a 0 in it so we are only multiplying the 14 by the scale factor of 5. So 14 * 5 is 70. So the new location of S’ would be (0,70)
Let,
the bigger number be "x"
the smaller number be "y"
Now, according to the question,
x + y = 24...........equation (1).............because the sum of numbers is 24
x - y = 15 .............equation (2)..................because their difference is 15
Taking equation (2),
x - y = 15
x = 15 + y ....................equation (3)
Now, Taking equation (1)
x + y = 24
(Substituting the value of "x" form equation (3) we get)
15 + y + y = 24
(Subtracting 15 on both sides, we get)
y + y = 24 - 15
2y = 9
y = 9 / 2
y = 4.5
Now,
Taking equation (3)
x = 15 + y
(Substituting the value of y , we get)
x = 15 + 4.5
x = 19.5
So, the two numbers are 19.5 and 4.5
Amplitude: 4
If midline means center, it is -5
I'm also implying that there is an x in cos(4x)
Answer:
Sample space= 1, 2, 3, 4, 5, 6
Outcomes= 2, 4, 6
Probability= Number of outcomes/ total number of outcomes
= 3/6 times 2( as 2 dices are rolled)
=6/12
=1/2
Therefore, the probability of getting 2 even number is 1/2
Answer: 2nd most popular country = 15895 students
most popular country = 24390 students
Step-by-step explanation:
Total students: 40,285
2nd most popular country = x students
most popular country = x + 8,495 students
x + x + 8495 = 40285
2x + 8495 = 40285
2x = 40285 - 8495
2x = 31790
x = 15895
2nd most popular country = x = 15895 students
most popular country = x + 8,495 = 15895 + 8,495 = 24390 students