Answer:
a) 2
b) -
c) y = 2x + 1
Step-by-step explanation:
a)
First put the equation into slope intersept form (y=mx+b) by...
- Move the variable to the right-hand side and change its sign : -y = -4 -2x
- Change the signs on both sides of the equation: y = 4 + 2x
- Use the commutative property to reorder the terms : y = 2x + 4
Slope intersept form : y = 2x + 4
Parallel lines have the same slope so.... a parallel slope is 2
b)
First put the equation into slope intersept form (y=mx+b) by...
- Move the variable to the right-hand side and change its sign : -y = -4 -2x
- Change the signs on both sides of the equation: y = 4 + 2x
- Use the commutative property to reorder the terms : y = 2x + 4
Slope intersept form : y = 2x + 4
To find a perpendicular slope flip the slope and change the sign : -
c)
First put the equation into slope intersept form (y=mx+b) by...
- Move the variable to the right-hand side and change its sign : -y = -4 -2x
- Change the signs on both sides of the equation: y = 4 + 2x
- Use the commutative property to reorder the terms : y = 2x + 4
Slope intersept form : y = 2x + 4, parellel slope : 2
- Substitute the x and y values with the given ordered pair: 3 = 2(1) + b
- Calculate the product: 3 = 2 + b
- Move the variable to the left-hand side and change its sign: -x = 2 - 3
- Calculate the difference and change the signs : b = 1
Use the slope and y-intersept (b) to write the new line : y = 2x + 4
Answer: 70 grams^3
Step-by-step explanation: volume = mass/density volume = 126/1.8 volume = 70 grams^3
Answer:
I woulda said B too...
Step-by-step explanation:
Using linear function concepts, it is found that consumption would increase by $800.
<h3>What is a linear function?</h3>
A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
In this problem, the function is given by:
C = 200 + 0.8Y.
Which means that the slope is of m = 0.8 per unit of Y.
For 1000 units:
0.8 x 1000 = 800.
Consumption would increase by $800.
More can be learned about linear function concepts at brainly.com/question/24808124
Answer:
x = 9
Step-by-step explanation:
Area of a rectangle = lw
To find the length you divide 45 by 5 to get 9 because,
45 = 5 x 9