-4 = 8m + 18n
-18n = 8m + 4
/-18 /-18 /-18
n = 8m/-18 + 4/-18
I'm not sure so yeah
Answer:
Part A
16 and 1/2 or 16 R6, 17 if you round up
Part B
Answer choices A and D are correct
Answer:
k = 11.
Step-by-step explanation:
y = x^2 - 5x + k
dy/dx = 2x - 5 = the slope of the tangent to the curve
The slope of the normal = -1/(2x - 5)
The line 3y + x =25 is normal to the curve so finding its slope:
3y = 25 - x
y = -1/3 x + 25/3 <------- Slope is -1/3
So at the point of intersection with the curve, if the line is normal to the curve:
-1/3 = -1 / (2x - 5)
2x - 5 = 3 giving x = 4.
Substituting for x in y = x^2 - 5x + k:
When x = 4, y = (4)^2 - 5*4 + k
y = 16 - 20 + k
so y = k - 4.
From the equation y = -1/3 x + 25/3, at x = 4
y = (-1/3)*4 + 25/3 = 21/3 = 7.
So y = k - 4 = 7
k = 7 + 4 = 11.
Answer:
The number line is missing, but as we are know that the number marked in the number line is -6/4, i will guess that the ticks are spearated by fourts (the distance between each tick is 1/4).
Now, for the number at the right of -6/4, we should add the distance for one tick, this means that the number at the right is:
-6/4 + 1/4 = -5/4.
Now i will give some other examples:
Now, if the distance between ticks is 2/4, then the number at the right will be:
-6/4 + 2/4 = -4/4 = -1
Now, if the distance between ticks is 3/4, the the number at the right will be:
-6/4 + 3/4 = -3/4.
Answer:
A. 
Step-by-step explanation:
We are told that circle O is circumscribed about quadrilateral DEFG.
Since we know that the opposite angles of quadrilateral inscribed inside a circle are supplementary.
Let us find value of x by equating the measure of x and its opposite angle with 180.
Therefore, the value of x is 61 degrees and option A is the correct choice.
