First, we need to get the slope of the equation of the train tracks. We can transform the given equation into the slope-intercept form.
4x +2y = 16
y = -2x +8
The slope of the equation is -2.
A perpendicular line will have the same slope but the opposite sign.
So, the slope of the line of the train crossing is 2. Since, it will pass through the point (8,15), the slope-intercept form can also be used to solve for the equation.
y = mx + b
The slope is 2, so m=2. We solve b by substituting the coordinates.
15 = 2(8) +b
b = -11
The equation is now,
y = -2x - 11
Or it can also be expresses as:
2x - y = 11
3 boys for every 2 girls
So, the percentage of girls is (2 / 5) x 100 = 40%
Answer:
0 People initially had the cold.
6 People will have it after 2 days.
Step-by-step explanation:
To find out how many people had it initially, plug 0 in for x (implying 0 days later.)
C= 1*3(0)
C= 1*0
C=0
Nobody had the cold initially.
To find out how many people had it after 2 days, plug 2 in for x. (implying 2 days later.)
C= 1*3(2)
C= 1*6
C=6
Therefore 6 people had the cold after 2 days.
I hope this helps!
Answer:
-8X^4y^2
Step-by-step explanation:
-2X² × 4X²y² = -8X^4y^2
edit to add:
first: multiply the coefficients together:
-2 x 4 = -8
second: add the exponents of X together (when you multiply exponents, you just add them together):
² & ² = ^4
and you have the answer:
-8X^4y^2