Unit 4 Lesson 9 Unit Test "Transformations"
1) A. I and III only
2) C.
3) B. (x,y) arrow (x-6, y-5)
4) D. (4,-5)
5) C. P'(4,1), Q'(2,-8), and R'(-8,-1)
6) D.
7) A. ON
8) A. 240 Degrees
9) D. 6
10) C. S
11) C. Circle
12) D. No symmetry
13) A. (5,9)
14) D is flipped when reflected over l and is regular when reflected over m
15) Translation; does not rotate just slides down and is not altered
16)
17) A(-3,1)=(-12,4), B(4,-3)=(16,-12) C(2,3)=(8,12) D(-1,4)=(-4,16) Since you multiply each by the scale factor of 4.
All multi choice are 100% correct I just took the test.
Answer:
The height of the object as a function of time is given by:
.....[1]
where,
h(t) is the height of the object t second after it is thrown.
v is the initial velocity
h is the initial height.
As per the statement:
Ted throws an object into the air with an initial vertical velocity of 54 feet per second from a platform that is 40 feet above the ground
⇒v = 54 ft/sec and h = 40 feet above the ground.
Substitute in [1] we have;
we have to find how long will it take the object to hit the ground.
Substitute h(t) = 0
then;
⇒
Factorize this equation:
⇒
⇒
By zero product property we have;
t-4 = 0 and -8t-5 = 0
⇒t = 4 and -8t = 5
⇒ t= 4 and t = - 0.625
Since, time cannot be in negative;
⇒ t= 4 sec
therefore, 4 seconds will it take the object to hit the ground
Answer : 20,400
Explanation : The name itself suggests that it is 204 thousands.
Which means it has 20 thousands 400.
As renaming process involves, the ability to flexibly rename numbers starting with a whole numbers and move through tens, hundreds, thousands, ten thousands, and so on.
This helps us to find that 204 thousands is 20400 as it says it is a thousand digit value and has three digits in it. To qualify to be called as a thousand it needs to have at least 4 digits in it. But, it has 5 digits because it falls under the category of ten thousands range; which means it should be in 5 digits.
Therefore, the answer is 2→Ten thousand 0→Thousand, 4→ hundred 00→Tens .
So, the answer is correct 20,400.
The value which is possible for the length of the rectangle is:
7 in.
We know that in order to form a rectangle the length and width of a rectangle must be in positive dimension.
i.e. l,w>0
where l denotes length and w denotes width of the rectangle.
Also, The perimeter of a rectangle is 16 inches.
Hence, the equation that represents the perimeter of the rectangle is:
2l + 2w = 16.
i.e. on dividing both side of the equation by 2 we obtain:
l+w=8
Now, when l=7 we get w=1
Hence, it could be a possible value.
Also, when l=8 then w=0 which is not possible.
Similarly when l=9, w= -1 which is again not possible.
and when l=10 then w= -2 which is again not a possible dimension.
The answer is:
7 in.