Answer:
x + y = -2
Step-by-step explanation:
The two primary equations to remember when dealing with graphing 2-variable equations are: ax + by = c (a & b are the x & y coefficients, respectively), and the other is y = mx + c (m = slope, x & y represent themselves). There is another equation to find the slope. If not already known, it's: ∆y/∆x {∆(aka Delta) = difference}. So, since that's all been established, we can proceed to calculate your question:
1) Find your slope: 1 - (-4) = 5 for your y-variable. And -3 - 2 = -5 for your x-variable. So your slope = 5/-5 = -1
2) Use the y = mx + c equation together with either set of (x,y) coordinates to get the equation 1 = (-1)(-3) + c. Which gives you c = -2
3) So, going back to the main equation to remember, the ax + by = c, use a one of your given sets of x,y coordinates and input your known values for x, y, & c to get: a(-3) + b(1) = (-2) and do the same with other set (these are just double-checks, coefficients are all equal to 1 anyways). So, you should arrive to the equation: x + y = -2
The tangent at A is perpendicular to OA, so has a slope that is the negative reciprocal of that of the radius: -1/2.5 = -2/5.
Answer:
5088
Step-by-step explanation:
212*24=5088
Answer:
Inequality is ![4t+72>400](https://tex.z-dn.net/?f=4t%2B72%3E400)
Solution is C: t > 82
Step-by-step explanation:
Let the number of tickets = t
It is given that the committee earns $4 per ticket. That is, they earn
dollars.
Also, the committee earns $72 from the bake sale.
So, the total income is
dollars.
Since, the dance will cost $400.
So, the total earning must be greater than $400.
Thus, the inequality for the situation is given by,
.
So, on solving, we have,
![4t+72>400](https://tex.z-dn.net/?f=4t%2B72%3E400)
i.e. ![4t>328](https://tex.z-dn.net/?f=4t%3E328)
i.e. t > 82.
Thus, the solution of the inequality is ![t> 82](https://tex.z-dn.net/?f=t%3E%2082)
Hence, option C is correct.