Answer:
Step-by-step explanation:
We know that the transformations of a cosine equation can be shown as:
y=±a(b(x-h))+k
Where 'a' is the amplitude
'b' is the horizontal change (Do 2π/b to find the period)
'h' is the horizontal shift
and 'k' is the vertical shift or midline.
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If the amplitude is 4, we can assume a=4.
Since the period is 4/7, we can solve for the 'b' value by:
Next, since the midline is 2, we know that a vertical shift of 2 occurred. Thus, the 'k' value is 2.
Writing this equation gives us:
Answer:
Step-by-step explanation:
The first step to this problem is to look at the key features of the initial expression given to us. Namely, the middle term.
Notice that it is just 
. This indicates that the square root terms cancel out, meaning that their signs need to be opposite, but the threes need to have the same, positive sign. This indicates that our answer is option C, but you should always double check by multiplying the expression out to confirm. Here are the steps:
Therefore as we suspected, the answer is C.
Answer:
4x+3y-10=0
Step-by-step explanation:
first find the gradient of the line that is perpendicular to the line of interest.
y2-y1/x2-x1
3--3/6--6
=3+3/6+6
=9/12
3/4
The gradient of the line of interest is the negative reciprocal of 3/4. Therefore m is -4/3
next, substitute information into
y-y1=m(x-x1)
y-2=-4/3 (x-1)
multiply both sides of equation by 3
3y-6=-4 (x-1)
expand brackets
3y-6=-4x+4
rearrange in general form
4x+3y-10=0
Answer:
The slope would be 1/2
Step-by-step explanation:
y= mx +b
m= slope
perpendicular lines have slopes that are multiplied in order to get -1
<em>these are important</em>
<em></em>
2x + y = 4
<u><em>subtract 2x</em></u>
y=-2x +4
your slope is -2
-2 * ? = -1
? = -1/-2
? = 1/2
Answer:
Step-by-step explanation:
- Choose 2 points on the graph. (-2,8) (3,-7)
- Apply slope formula.
I hope I choose the right cordinates...
