8x^2 + 9 - 6x^2 - 2x - 2
= 2x^2 - 2x + 7
answer is B
2x^2 - 2x + 7
Answer:
(c) 5y -17x +99 = 0
Step-by-step explanation:
The median of a triangle is the line through a vertex and the midpoint of the opposite side. The median of ΔXYZ from vertex Y will be the line through point Y and the midpoint of XZ.
<h3>Midpoint</h3>
The midpoint of XZ is the average of the coordinates of X and Z.
M = (X +Z)/2
M = ((1, -2) +(8, -7))/2 = (9, -9)/2 = (4.5, -4.5)
<h3>Line through two points</h3>
The slope of the median can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
The slope of line YM is ...
m = (-4.5 -4)/(4.5 -7) = -8.5/-2.5 = 17/5
The point-slope form of the equation of a line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
The line with slope 17/5 through point Y(7, 4) is ...
y -4 = 17/5(x -7)
Subtracting the right side, and multiplying by 5 gives ...
5(y -4) -17(x -7) = 0
5y -17x +99 = 0 . . . . equation of the median through Y
Answer:
The required ratio is 38 : 7
Step-by-step explanation:
Given,
304 calories burned in 56 minutes,
That is, the number of calories burnt in 56 minutes = 304
So, the ratio of the calories burnt and time in minutes = 
∵ HCF(304, 56) = 8,
Thus, the ratio of price of photos and number of photos = 
= 
Answer:
2017.
Step-by-step explanation:
The equation for the future sale of motorcycles
= 5.75(1.16)^t where t is in years
For cars it is
3.5(1.25)^t
3.5(1.25)^t > 5.75(1.16)^t
(1.25)^t > (5.75/3.5) 1.16^t
t ln 1.25 > ln 1.64286 + t ln 1.16
t ln 1.25 - t ln 1.16 > ln 1.64286
t (ln 1.25 - ln 1.16) > ln 1.64286
t > ln 1.64286 / (ln1.25 - ln 1.16)
t > 6.64 .
So the answer is in the year 2017.
Answer:
only 16
Step-by-step explanation:
18/2=9 not 8
12/2=6 not 8
16/2=8
20/2= 10 not 8