What is the length of NM?
1 answer:
Answer:
See below :)
Step-by-step explanation:
We know that these traingles are all similar. We can see the angle NMK is 60 degrees so we also know that JNK is 60 degrees. Now we know that all of the triangles are 30-60-90 triangles. JN is 3, so from the "leg opposite to 30 degree theorem", we know that NK is two times JN which is 6. Then from the same theorem, we know that NM is NK divided by the square root of 3
We can't have fractions that have irrational numbers in the denominator of a fraction so we multiply it by root3 over root3
*
This then makes it 6 times root 3 over 3
We then get
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Answer:
Option A
Step-by-step explanation:
Function One is represented by the graph. We can see that the slope of the First Function is positive because the formula of slope is
And we can see that in the graph the change in y and change in x are both positive as the function is increasing because if we see the graph closely,
When x = 1 the value of y = 2 and when x = 2 the value of y = 4 and when x = 3 the value of y = 6 so the values are increasing of x and of y hence the slope is positive and the value of slope is 2.
Now the Second Function which is y = -4x here the slope is negative because the slope-intercept form of the equation is .
and the second function is
if we compare both these equations we get the value of m = -4 where m is also called the slope. So the slope of the second function is negative.
So
Option B is incorrect because the slope of the first function is positive
Option C is incorrect because the slope of the second function is negative
Option D is incorrect because the slope of the first function is 2 and the slope of the second function is -4
That leaves us with Option A which is correct, where we can see that the slope of the first function is positive and the slope of the second function is negative