Answer:
y=-4x-1
Step-by-step explanation:
y=mx+b
m is the slope
b is the y-intercept
You would multiply that number by 1.175
Remember that 17.5%=17.5/100=0.175
I this case, there is a whole number that is increasing by 17.5% so we add a whole to the 17.5%
100%+17.5%=117.5% or 1.175
So if 'x' was the number, the expression would look like:
1.175x
Answer:
45
Step-by-step explanation:
The order in which the items are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
How many possible subsets of 2 items can be chosen from this lot?
Combinations of 2 from a set of 10. So
For this case we have the following equation:
r = 9 sin (θ)
In addition, we have the following change of variables:
y = r * sine (θ)
Rewriting the equation we have:
r = 9 sin (θ)
r = 9 (y / r)
r ^ 2 = 9y
On the other hand:
r ^ 2 = x ^ 2 + y ^ 2
Substituting values:
x ^ 2 + y ^ 2 = 9y
Rewriting:
x ^ 2 + y ^ 2 - 9y = 0
Completing squares:
x ^ 2 + y ^ 2 - 9y + (-9/2) ^ 2 = (-9/2) ^ 2
Rewriting:
x ^ 2 + 1/4 (2y-9) ^ 2 = 81/4
4x ^ 2 + (2y-9) ^ 2 = 81
Answer:
The Cartesian equation is:
4x ^ 2 + (2y-9) ^ 2 = 81
To solve a Linear equation we need to find the slope:
-4-1 / -2-8 =1/2
now that we have the slope we can find our x and y
y-1=1/2(x-8)
y=x/2-3
