10x + 2y = -2
2y = -10x - 2
y = -(10/2)x - 2/2
y = -5x - 1 y = mx + c, slope m = -5.
If it is parallel, then the slope of the second line ought to be -5 as well.
So you should fill -5 in the bracket.
So we don't know both of their age but we do know that Jessica is 4 year younger so let make x stand for Jennifer age and n is for jessica so our equation needs to be n + 10 = 8 + 2n subtract n from both sides so now we have 10 = 8 + n then subtract 8 from both sides so now we have 10 - 8 = n so jessica is 2 but now we need to find Jennifer age by adding 4 to 2 = 6
jessica is 2 and Jennifer is 6
At point of intersection the two equations are equal,
hence, 6x³ =6x²
6x³-6x²=0
6x²(x-1)=0 , the values of x are 0 and 1
The points of intersection are therefore, (0,0) and (1,6)
To find the slopes of the tangents at the points of intersection we find dy/dx
for curve 1, dy/dx=12x, and the other curve dy/dx=18x²
At x=0, dy/dx=12x =0, dy/dx=18x² = 0, hence the angle between the tangents is 0, because the tangents to the two curves have the same slope which is 0 and pass the same point (0,0) origin.
At x=1, dy/dx =12x = 12, dy/dx= 18x² =18, Hence the angle between the two tangents will be given by arctan 18 -arctan 12
= 86.8202 - 85.2364 ≈ 1.5838, because the slope of the lines is equal to tan α where α is the angle of inclination of the line.
Answer: Yes, He bicycled fewer in this week than last week.
Step-by-step explanation:
Let he bicycled x hours in the last week,
Then, According to the question,
Hence, He bicycled fewer in this week than last week.
Answer:
12+5=17
Step-by-step explanation:
