We need to swap the numerator and denominator, and change the sign of one of them to get a perpendicular slope.5x + 10y = c. Now subtract the point.
5(-4) + 10(7) = -20 + 70 = 50 = c
5x + 10y = 50 is an equation. If we want, we can divide everything by 5 to get x + 2y = 10.The more usual way to do these is put the equation in slope-intercept form by solving for y. 10x-5y=8 -5y = -10x + 8 y = 2x - 8/5 Now you have the slope of the original line, 2. Any line perpendicular to this one must have a slope that is the negative reciprocal of this one, -1/2 So this new line must be y = -1/2 x + c .Now subtract in point to solve for c.
7 = (-1/2)(-4) + c 7 = 2+c
5 = c
y = -1/2 x + 5
The first time we solved we got this.
x + 2y = 10 but, if we divide everything by 2, we get 1/2 x + y = 5 So... subtract 1/2 x from both sides and you have identical equations. So the two are equivalent. The answer is y = -1/2 x + 5
Hope this helped!
Answer:
Step-by-step explanation:
<u>Part A:</u>
Lets take the value of a=10
Thus a+1=b
10+1=11 , it means the value of b is 11
11>10 or b>a
Now take the value of a as -3
Therefore a+1=b
-3+1= -2
-2>-3 or b>a
The pair of values for a and b are: a=10 then the value of b would be 11;
And a=-3; then the value of b would be: -2.
<u>Part B:</u>
It is not possible to create a pair of values for a and be, in which the numerical relationship shown in the given conditional statement is false, therefore b>a if a+1=b....
The answer for this would be NO. You can no longer reduce 9/10 since there is no factor that is similar between the two numbers. There is no other number that can also divide these numbers evenly except for 1. Therefore,it is already fixed and in the simplest form. Hope this answer helps.
Answer: The tip would be $11.88.
Step-by-step explanation: Basically, to find the tip of the bill you need to multiply the total, $74.25 by the tip amount which is 16%. To do this you will first need to convert 16% to a decimal. To find the decimal, divide 16 by 100 to get 0.16. Next, you will need to multiply the total of the bill $74.25 by the decimal 0.16. 74.25 multiplied by 0.16 is 11.88. So, the tip would be $11.88.
