Answer:
D. y=-2x-6
Step-by-step explanation:
<u><em>First start with what we know....</em></u>
y = -2x + 3 (Slope Intercept Form)
<u><em>Because of this we can eliminate B. </em></u>
<u><em>Parallel means that the lines wouldn't be touching which means they should have the same slope and the only one with the same slope is D. </em></u>
Our first step is to figure out what formulas are needed for diameter, circumference, and area of a circle.
Diameter is simply twice the size of the radius so:
2 * radius = 2 * 40 feet = 80 ft.
Circumference = 2 * pi * radius = 80 ft * pi
If we say that pi = 3.14, then:
circumference = 251.2 ft.
Area = pi * radius^2 = pi * 1600 ft^2
Once again, if we assert pi = 3.14, then:
area = 3.14 * 1600 ft^2 = 5024 ft^2.
Answer:
Solution point is (-1,-9)
Step-by-step explanation:
Put the value of y in the first equation into the second equation.
- 2x + 5(3x - 5) = - 42 Remove the brackets on the left
- 2x + 15x - 25 = - 42 Combine like terms on the left
- 17x - 25 = - 42 Add 25 to both sides
- 17x - 25 + 25 = - 42 + 25 Do the addition
- 17x = - 17 Divide by 17
- 17x/17 = -17/17 Do the division
- x = - 1
=======
Solve for y
- y = 3x - 6
- x = -1
- y = 3(-1) - 6
- y = -3 - 6
- y = - 9
The vertex will end up landing on (5,10)
First, rearrange the equation to standard line format
3x + 9y = 7
9y = -3x + 7
y = -3/9x + 7/9
y = -1/3x + 7/9
now we know the slope of the line (both the existing and the new parallel one, since they both have the same slope)
y = -1/3x + b
plug in the new point in and solve for b
4 = -1/3(6) + b
4 = -2 + b
b = 6
y = -1/3x + 6 is the equation for the parallel line
