Step-by-step explanation:
just think - what does it mean to translate (shift) a graph upward by 5 units ?
does the graph change in its content ? no. all the functional result value (= y values or coordinates) are still calculated as before, BUT before marking them on the chart the y values are moved up by 5 units. that means they are increased by 5 (that is the only way to move something "up" on a coordinate grid).
so, in other words, f(x) is nothing else but h(x), but it increases the results of h(x) consistently by 5.
h(x) = 2x² + 4
f(x) = h(x) + 5 = 2x² + 4 + 5 = 2x² + 9
Answer:
an =6n
Step-by-step explanation:
6, 12, 18, 24
Take the 2nd number minus the first number, 3rd minus the second, etc
12-6 =6
18-12 = 6
24-18 =6
The common difference is 6
The formula for an arithmetic sequence is
an =a1+d(n-1)
where a1 is the first term
d is the common difference
n is the term number
an = 6+6(n-1)
Distributing
= 6+6n-6
= 6n
For the first one, we know that is a right angle. right angles are 90 degrees. if we subtract 90 - 49 that equals 41. so the second value needs to equal 41. since we have a 3 there already, we are going to subtract 41-3, which is 38. x = 38
Answer:10 m
Step-by-step explanation:
Given
Scaling ratio 1:1000
i.e. one unit in map is equal to 1000 unit in actual distance
therefore if the distance between two points is 1 cm in map then
it is 1000 cm in reality
Answer:
0
Step-by-step explanation:
