Since we need an angle measure we have to use an inverse trig ratio, sin^-1, cos^-1, or tan^-1.
Setting up the right triangle we have the opposite and adjacent so we use tan.
tan angle = 28/32
tan^-1 (28/32) = 41 degrees
Hello!
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2x+5y=10
We want to turn this equation into y=mx+b form:
5y=-2x+10
Divide both sides by 5:
y=-2/5x+2
Now, the equation of the line parallel to it:
Remember, parallel lines have the same slope.
So these two lines have the same slope (-2/5)
Now, use Point-Slope form:
y-y1=m(x-x1)
y=1=-2/5(x-(-5)
y-1=-2/5(x+5)
y-1=-2/5x-2
y=-2/5x-2+1
y=-2/5-1
Hence, this is the required solution. I hope you find it helpful!
~SparklingFlower
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Answer:
(1.5,2.5)
Step-by-step explanation:
f(x) = 2x^2 - 6x + 7
Take the first derivative and set it equal to 0 (the slope is 0 at the vertex)
f'(x) = 4x -6
0 = 4x - 6
4x = 6
x = 3/2 or 1.5
If x = (3/2), then y = 2(3/2)^2 - 6(3/2) + 7
y = 2(9/4) - 18/2 + 7
y = (9/2) - 2
y = 2.5
See attached graph.
Answer:
The graph of a nonmember’s yearly cost will be steeper, but start lower than the graph of a member’s yearly cost.
Step-by-step explanation:
sample response edge 1020
