Answer:
y = 1/2x - 4
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = -2x + 8. Its slope is -2. A line perpendicular to this one will have a slope of 1/2.
Plug this value (1/2) into your standard point-slope equation of y = mx + b.
y = 1/2x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (4, -2). Plug in the x and y values into the x and y of the standard equation.
-2 = 1/2(4) + b
To find b, multiply the slope and the input of x (4)
-2 = 2 + b
Now, subtract 2 from both sides to isolate b.
-4 = b
Plug this into your standard equation.
y = 1/2x - 4
This equation is perpendicular to your given equation (y = -2x + 8) and contains point (4, -2)
Hope this helps!
Answer:
<2 ≅<4 with reason of vertical angle theorem.
Step-by-step explanation:
The vertical angle theorem states that two opposite (non-adjacent) angles formed by 2 intersecting lines have equal measure. In this problem, we are given that the angles are vertical angles. So the statement is that <2 ≅<4 with reason of vertical angle theorem.
Answer:
$34,300
Step-by-step explanation:
First, we need to find how much interest is earned in one month : 7,000 * 6.5% = 455
455 is how much you gain monthly, multiply that by 12 to find the annual interest so 455 * 12 = 5,460
You then multiply that number by 5 to find the interest of the span of the 5 years
5,460 * 5 = 27,300
You add the original number to the interest with 27,300 + 7,000 = 34,300 in the account
Answer:
x = - 
Step-by-step explanation:
Given
x + 2 = 
Multiply through by 24 ( the LCM of 6 and 8 ) to clear the fractions
20x + 48 = 21 ( subtract 48 from both sides )
20x = - 27 ( divide both sides by 20 )
x = - 
Answer:
ok
Step-by-step explanation: