The <em><u>correct answer</u></em> is:
Rotation of 90° counterclockwise about the origin and a translation 2 units right
Explanation:
A rotation 90° counterclockwise maps each point (x, y) to (-y, x). This means our points would be:
A(-4,3)→(-3, 4); B(-1,3)→(-3, -1); C(-2,1)→(-1, -2)
A translation 2 units right will add 2 units to the new x-coordinates; this gives us
(-3, 4)→(-1, 4); (-3, -1)→(-1, -1); and (-1, -2)→(1, -2)
These are the points in the image, so this is the correct set of transformations.
we are given
6 × 8 = 48
we know that
commutative property of multiplication:
now, we will verify each options
option-A:
we have
6 × 8 = 48
now, we can find it's commutative
so, we get
8 × 6 = 48
so, this is TRUE
option-B:
we have
6 × 8 = 48
now, we can find it's commutative
so, we get
8 × 6 = 48
so, this is FALSE
option-C:
we have
6 × 8 = 48
now, we can find it's commutative
so, we get
8 × 6 = 48
so, this is FALSE
Formula
====
d = r * t
Givens
======
d = 2 3/4
t = 1 hour 15 minutes
r = ????
Calculations
==========
You need to convert the 15 minutes to hours.
1 hour = 60 minutes
x hour = 15 minutes
1/60 = x/15
x = 15/60
x = 0.25 hours
so the time = 1 hours + 0.25 hours
t = 1.25 hours
Now you need to do something with the distance.
3/4 mile = 0.75 of a mile
So the distance = 2 + 0.75 = 2.75 miles
Now you are ready for the answer.
d = r * t you are looking for r
2.75 = r * 1.25
r = 2.75/1.25
r = 2.2 miles / hour
Note you could do this with fractions.
2 3/4 = 11/4
1 1/4 = 5/4
r = 11/4 // 5/4 =11/5 = 2 1/5 which is the same thing as 2.2. If your calculator can handle fractions (those kind of calculators cost about 10 dollars in Canada. It should be 8 in the US) that might be the way to do this problem.
Answer: <em>36</em>
<em />
Step-by-step explanation:
<em>g^4+5h</em>
<em>2</em><em>^4+5(</em><em>4</em><em>)</em>
<em>16+20</em>
<em>36</em>
Answer:
C 40
Step-by-step explanation:
1 blue : 2 white
multiply both sides of the proportion by 20 to reach 20 blue marbles
20 blue: 40 white
