Answer:
19 2/5 or 19.4
Step-by-step explanation:
Answer:
the y-intercept is -8 and the end behavior i think is heading towards infinity
Step-by-step explanation:
Answer:
sin(A) = cos(C)
Step-by-step explanation:
Trig ratios:
(where is the angle, O is the side opposite the angle, A is the side adjacent to the angle, H is the hypotenuse, of a right triangle)
Therefore, sin(A) = cos(C)
Answer: 11x-3y = 32
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Explanation:
The given points are
A = (-4,-2)
B = (4,4)
C = (18,-8)
First we'll use points A and C to find the slope of line AC
m = (y2-y1)/(x2-x1)
m = (-8-(-2))/(18-(-4))
m = (-8+2)/(18+4)
m = -6/22
m = -3/11
The slope of AC is -3/11
Take the negative reciprocal of this slope
Flip the fraction: -3/11 -----> -11/3
Flip the sign: -11/3 ----> +11/3 = 11/3
The slope of AC is -3/11 while the slope of any line perpendicular to AC is 11/3
Let m = 11/3 and (x,y) = (4,4) which are the coordinates of point B
Plug these values into slope intercept form and then solve for b
y = mx+b
4 = (11/3)*4+b
4 = 44/3+b
4 - 44/3 = 44/3+b-44/3
b = 4 - 44/3
b = 12/3 - 44/3
b = (12 - 44)/3
b = -32/3
Since m = 11/3 and b = -32/3, we go from this
y = mx+b
to this
y = (11/3)x-32/3
Now clear out the fractions and get the x and y variables to one side
y = (11/3)x-32/3
3y = 3*[ (11/3)x-32/3 ]
3y = 11x - 32
3y-11x = 11x-32-11x
-11x+3y = -32
-1*(-11x+3y) = -1*(-32)
11x-3y = 32
The equation of the through B that is perpendicular to AC is 11x-3y = 32 (this equation is in Ax+By = C form which is called standard form)
This is better known as the altitude through B
Answer:
20%
Step-by-step explanation:
According to the Question,
Given that, The average number of subscribers to an online magazine each year from 2010 to 2015 is given in the table.
Year Number of Subscribers Percentage increase(20%)
2010 320000
2011 384000 320000 × 1.20 = 384000
2012 460800 384000 × 1.20 = 460800
2013 552960 460800 × 1.20 = 552960
2014 663552 552960 × 1.20 = 663552
2015 796262 663552 × 1.20 = 796262
- The percent increase in the average number of subscribers each year since 2010 was 20% .