The transformation from 1 to 2 is a translation, as the shape is moved from one point to another with no rotation, reflection, or change in size.
The transformation from 2 to 3 is a reflection, as the shape is now upside down. It is still the same distance from the y-axis.
The answer is D. translation, then reflection.
Answer:
17+3/4
Step-by-step explanation:
Answer:
Kelly is wrong and the recipe will make 19 cups of punch.
Step-by-step explanation:
It says:
The amount of ingredients in the recipe of punch after converting the units to 'cups' are given by,
Pineapple juice = 3 pints = 6 cups (1 pint ≈ 2 cups)
Orange juice = 5 cups
Lemonade = 1/4 gallon = 4 cups (1 gallon = 16 cups)
Apricot nectar = 1 quart = 4 cups(1 quart = 4 cups)
Then, the total cups of punch = 6 + 5 + 4 + 4 = 19 cups.
Thus, Kelly is wrong and the recipe will make 19 cups of punch.
I really don’t know tbh with you bro
9514 1404 393
Answer:
(-4√494)/13i +(6√494)/13k ≈ -6.8388i +0j +10.2585k
Step-by-step explanation:
To answer this question, you need to know two things:
1) the direction of vector v
2) the magnitude of vector u
__
<u>direction of v</u>
A direction is specified by a "unit vector", one with the proper ratio of components, and a magnitude of 1. It is found from a given vector by dividing that vector by its magnitude.
The unit vector in the v direction is ...
v/|v| = (-2i +3k)/(√((-2)² +3²) = (-2i +3k)/√13
__
<u>magnitude of u</u>
The magnitude of vector u is ...
|u| = √(5² +(-2)² +3²) = √38
__
Then the desired vector is ...
(2|u|)(v/|v|) = 2√38(-2i+3k)/√13 = (-4√494)/13i +(6√494)/13k
_____
<em>Additional comment</em>
We have chosen to "rationalize the denominator" by writing √(38/13) as (√494)/13.
