Answer:
<70.71, -70.71>
Step-by-step explanation:
The vector has a module of 100 and a angle of -45° (negative because it is below the horizontal). So, to find its components, we need to use the sine and cosine relation of its angle:
horizontal component = module * cos(angle)
horizontal component = 100 * cos(-45)
horizontal component = 70.71
vertical component = module * sin(angle)
vertical component = 100 * sin(-45)
vertical component = -70.71
So the vector in the component form is <70.71, -70.71>
The negative sign of the vertical component means its direction is downwards.
Answer:
(B)
Step-by-step explanation:
(A) The given expression is:
=
The value of this expression is 8 which is greater than the base of the expression that is 2.
(B) The given expression is:
=
=
The value of this expression is 0.09 which is smaller than the base of the given expression that is 0.83.
(C) The given expression is:
=
The value of this expression is 9 which is greater than the base of the given expression that is 3.
(D) The given expression is:
=
The value of this expression is 256 which is greater than the base of the given expression that is 4.
Hence, Option B is correct.
Answer:
13,173,255
Step-by-step explanation:
my birthday's tomorrow
hi tAnswer:hey
Step-by-step explanation:
Answer:
- 3. line y=x
- 4. 10 units to the right and 4 units up
Step-by-step explanation:
In the attached diagram, the green polygon A"B"C" is the reflection of ABC across the line y=x. Then the purple polygon A'B'C' is the translation of A"B"C" 10 units to the right and 4 units up.
_____
You can tell a reflection is involved, because the clockwise order of A, B, C in the original is reversed to counterclockwise in A'B'C'. The left-right horizontal line AC becomes the down-up vertical line A'C', so you know the reflection is across the line y=x, and not the line y=-x.
After the reflection, point A" is located at (2, -6), so moving it to A'(12, -2) entails a translation 10 units right and 4 units up.