The equation for the circle below is x^2+y^2=64 what is the length of the circle’s radius
1 answer:
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Answer:
f(x)= 3*(-|x+4|+5)
Step-by-step explanation:
Given the function f(x)=|x|
1. Transform the graph in a reflection across the x-axis:
You can transform the graph multiplying it by -1, so you have:
f(x)= -|x|
2. Translate the graph 4 units to the left:
You can translate the graph adding the number inside the absolute value, so:
f(x)= -|x+4|
3. Translate the graph up 5 units:
You can translate the graph up adding the number of units, but outside the absolute value, then:
f(x) = -|x+4|+5
4. Finally to transform the graph with a vertical stretch with a scale factor 3:
You should multiply the function by 3
f(x)= 3*(-|x+4|+5)
Answer:
1655
Step-by-step explanation:
Note the common difference d between consecutive terms of the sequence
d = - 1 - (- 4) = 2 - (- 1) = 5 - 2 = 8 - 5 = 3
This indicates the sequence is arithmetic with sum to n terms
=
[ 2a₁ + (n - 1)d ]
Here a₁ = - 4, d = 3 and n = 90, thus
=
[ (2 × - 4) + (89 × 3) ] = 45(- 8 + 267) = 45 × 259 = 1655