Answer:
1. y = -2x + 5
2. y = 3/5x + 5
3. y = -4/5x - 4
4. y = - 1
5. yes
6. yes
7. yes
8. no
Step-by-step explanation:
1. (4,-3) parallel to y= -2x
-3 = -2(4)+b
b=5
2. (-5,2) parallel to y = 3/5x
2= 3/5(-5)+b
b=5
3. (-5,0) -4/5x
0 = -4/5(-5)+b
b = -4
4. (-4,-1)
y= -1
5. yes
6. yes
7. yes
8. no
- Same slope = parallel ex. y = -5x +7, y = -5x +12
- opposite reciprocal = perpendicular ex. y = -5x +7, y = 1/5x + 12
- to find "b" with slope and point
(x,y) y = mx + b
plug in the y value and x value in the eqaution and m=slope, solve for b
Answer:
see the explanation
Step-by-step explanation:
we have

we have that

Convert to scientific notation

substitute

Remember that
To multiply two numbers in scientific notation, multiply their coefficients and add their exponents

Round the number 4.0875 two decimal places
so

A) The probability that there are no boys in the car is given by:
To calculate the tax multiply $860 by .06 (6%) to get $34.40.
To calculate the total amount you'll pay add $34.40 to $860 to get $894.40.
The period of the function is 2pi