Answer:
A. 90 degrees clockwise rotation
Step-by-step explanation:
Of we have a coordinate axis (x,y), if this axis is rotated 90° clock wide, the resulting coordinate of the pre-image will be the coordinate (y -x). Note that the coordinates was swapped and then the new y coordinate negated.
Given the coordinate K(24, -15). If we rotate this clockwisely, first we swap the coordinate axis to have (-15, 24)
Them we will negate the new y coordinate axis to have;
K'(-15, -24)
Therefore the correct answer is 90° clockwise rotation.
The height of the triangle is 48/b or 48 over b. That's all I can tell you with the information given.
$600 because you must multiply. 150/ (25/100)... 1,500/25= 600
Answer:
y = - 2(x - 1)² + 18
Step-by-step explanation:
- 2x² + 4x + 16 ← factor out - 2 from the first 2 terms
= - 2(x² - 2x) + 16
using the method of completing the square
add/subtract ( half the coefficient of the x- term)² to x² - 2x
= - 2(x² + 2(- 1)x + 1 - 1) + 16
= - 2(x - 1)² + 2 + 16
= - 2(x - 1)² + 18 ← in vertex form
The events are independent...because after the first pick, the card was replaced...that means the second pick has the same sample space. In other words, the first pick is not gonna affect the 2nd pick
8 football, 2 basketball...total of 10
P(1st pick is football) = 8/10 which reduces to 4/5
replace
P(2nd pick is basketball) = 2/10 which reduces to 1/5
P (both) = 4/5 * 1/5 = 4/25 = 0.16 <==
