<h2>Answer</h2>
C.) 1
<h2>Explanation </h2>
Remember the rules for shifting functions:
shifts the function b units upward
shifts the function b units downward
shifts the function b units to the left
shifts the function b units to the right
Since we want tho shift
5 units to the right, we are using the rule:
shifts the function b units to the right; in other words, we need to subtract 5 units to the input of the function:


But notice that there is already a negative sign in
, so to get
, k must be equal to positive 1.
Triangle A
hypotenuse: 3y + x
leg: y - x
Triangle B
hypotenuse: y + 5
leg: x + 5
Congruency => 3y + x = y + 5 and y - x = x + 5
Solve the system
3y + x = y + 5 -> 2y + x = 5
y - x = x + 5 -> y - 2x = 5
2y + x = 5
-2y + 4x = -10
5x = -5
x = -1
y = (5 -(-1)) / 2 = 6/2 = 3
Verify:
hypotenuses
3y + x = 9 - 1 = 8
y + 5 = 3 + 5 = 8
Legs:
y - x = 3 -(-1) = 3 + 1 = 4
x + 5 = -1 + 5 = 4.
Then both hypotenuses and both legs are congruent.
Answer: x = -1 and y = 3
Answer:
-4/5
Step-by-step explanation:
2/5 ÷ -1/2
Copy dot flip
2/5 * -2/1
-4/5
A-720
30x12x2
There are 30 dozen, a dozen means twelve. 30 times 12 is 360. There are 360 pairs of gloves. A pair means 2. 360 pairs times 2 gloves in a pair equals 720.
Answer: 20 cups :DD
Step-by-step explanation: