1) Answer is A (True). 5.7 can be written as fraction in which both numbers are whole finite numbers.
2) Answer is True. Explanation is same as for the previous question.
3) √24 is between 4 and 5. √16=4 and √25 is 5, therefore answer is D)
4) Answer is √136. 11²=121 and 12²=144 and the question doesn't include equal scenario which would look like "more or equal than 11 but less or equal than 12".
Answer:
see explanation
Step-by-step explanation:
The translation represented by ![\left[\begin{array}{ccc}1\\4\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%5C%5C4%5C%5C%5Cend%7Barray%7D%5Cright%5D)
interprets as a shift of 1 unit to the right ( add 1 to x- coordinate ) and a
shift of 4 units down ( subtract 4 from the y- coordinate ), then
(1, 4 ) → (1 + 1, 4 - 4 ) → (2, 0 )
(4, 4 ) → (4 + 1, 4 - 4 ) → (5, 0 )
(6, 2 ) → (6 + 1, 2 - 4 ) → (7, - 2 )
(1, 2 ) → (1 + 1, 2 - 4 ) → (2, - 2 )
Answer:
Step-by-step explanation:
t = 158 Corresponding angles
t + s = 180 They are supplementary angles
158 + s = 180 Subtract 158 from both sides
s = 180 - 158
s = 22
As a note, all angles in this situation are either 158 or 22.
Answer:
B. The two lines are neither parallel nor perpendicular.
Step-by-step explanation:
First, put both lines into the same format. In this example, we're going to use y=mx+b format.
x - 4y = -9
-4y = -x + -9
y = (-x + -9) / -4
y = (x+9)/-4
y = (-1/4)x + (-9/4)
y = 3x - 7
If two lines are parallel, they have the same slope. (ie 4 and 4)
If two lines are perpendicular, one line's slope is the negative reciprocal of the other. (ie 4 and -1/4)
Neither is true here.
<span>Since they are playing in the space, gravity or the lack of it plays a huge role here. When the first astronaut throws the second astronaut toward the third one and due to the force exerted they would be moving in the opposite direction and there won't be any catch. Hence the game does not continue after the first throw.</span>
