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Answer:
- if k > 0 then the graph of the given equation will get shifted upward by k units.
- if k< 0 then the graph of the given equation will get shifted downward by k units.
Step-by-step explanation:
We have been given the equation y=ab^(x-h) +k and we have to state that how the value of k affect the graph.
We know that if we add/subtract some constant in the function value then the translation of the parent graph occurs in the vertical direction.
In other words, the parent graph either get shifted upward or downward depends on the value of the constant.
Therefore, we have
- if k > 0 then the graph of the given equation will get shifted upward by k units.
- if k< 0 then the graph of the given equation will get shifted downward by k units.
Answer:
B) a = 6.7, B = 36°, C = 49°
Step-by-step explanation:
Fill in the numbers in the Law of Cosines formula to find the value of "a".
a² = b² + c² -2bc·cos(A)
a² = 4² +5² -2(4)(5)cos(95°) ≈ 44.4862
a ≈ √44.4862 ≈ 6.66980
Now, the law of sines is used to find one of the remaining angles. The larger angle will be found from ...
sin(C)/c = sin(A)/a
sin(C) = (c/a)sin(A)
C = arcsin(5/6.6698×sin(95°)) ≈ 48.31°
The third angle is ...
B = 180° -A -C = 180° -95° -48.31° = 36.69°
The closest match to a = 6.7, B = 37°, C = 48° is answer choice B.
Answer:
y=-2x-4
Step-by-step explanation:
y=mx+b
count the slope (-2/1)
find the y-intercept(0,-4)
write it out (-2/-1)x-4
simplify (-2x-4)
Y=-5x-30.
Subtract from each side (1/5y=-x-6 )
Then multiply by 5/1 on both sides to get rid of the 1/5 (y=-5x-30)
