Answer:
Step-by-step explanation:
Interchange x and y: (-6, 8) is the image of (8, -6) after a reflection over y = x.
It is -11x + 24 because you multiply the numbers in the parentheses by 3 then collect like terms 10x +24 - 21x then you do 10x minus 24x and you get -11x+24
The factors of 45 are:
1, 3, 5, 9, 15, 45Which numbers multiply together to equal 45?
Answer:
Average speed is 48 km per hour
Step-by-step explanation:
A student drove to the university from her home and noted that the odometer reading of her car increased by 16.0 km. The trip took 20.0 min. (a) What was her average speed? in km/hr
Distance traveled is 16 km and the time taken is 20 minutes
convert minutes into hour. to convert minutes into hour we divide by 60 because 1 hour = 60 minutes
so time = 1/3 and distance = 16
Average speed = distance by time
Average speed is 48 km per hour
The graph of g(x) is shifted 4 units up ⇒ answer a
Step-by-step explanation:
Let us revise the translation
- If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)
- If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)
- If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k
- If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k
∵ The parent function f(x) = x
∵ g (x) = x + 4
- Substitute x in g(x) by f(x)
∴ g(x) = f(x) + 4
- g(x) is f(x) add by 4
- by using the rule of translation above
∵ g(x) = f(x) + k
∵ k = 4
∴ g(x) is the image of f(x) after translation 4 units up
∴ The graph of g(x) is 4 units above the graph of f(x)
The graph of g(x) is shifted 4 units up
Learn more:
You can learn more about translation in brainly.com/question/2451812
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