Answer: it is -1
Step-by-step explanation: rate of change can be defined as Δy/Δx, or the change in y over the change in c (commonly referred to as rise over run). By looking at the numbers we can see that the relationship modeled is linear (has a constant rate of change), so we are able to use this formula to calculate its rate of change. Simply calculate the change between any two values of y and (the associated) values of x and divide them to obtain your solution. I’m not the best at explaining math in words so here is the solution represented symbolically:
Rate of change = Δy/Δx
Δy/Δx = (y2-y1)/(x2-x1)
(y2-y1)/(x2-x1) = (1 - (-2))/(2 - 5) //the selected values for y2,y1,x2, and x1 are the last and first values for each, respectively.
3/-3 = -1
<h3>
Answer: 9/41</h3>
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Explanation:
We have a triangle with these three sides.
Use the pythagorean theorem to find b
a^2+b^2 = c^2
b = sqrt(c^2 - a^2)
b = sqrt(82^2 - 80^2)
b = sqrt(324)
b = 18
This is the missing vertical leg of the triangle. And this is also the side opposite angle C.
We have enough information to compute the sine of the angle.
sin(angle) = opposite/hypotenuse
sin(C) = AB/AC
sin(C) = 18/82
sin(C) = (9*2)/(41*2)
sin(C) = 9/41
Answer:
Slope: 1/2.5
Y-intercept: -1
Step-by-step explanation:
Answer: x = 10.18
Step-by-step explanation:
7ex – 9 = 10
(x-9)*ln7 = ln 10
x-9 = 2.30/1.95
x = 10.18
your answer would be 33.
step 1
2(+14)−1(2−5)
2+28−1(2−5)
step 2 distribute
2+28−1(2−5)
2+28−2+5
step 3 then add the numbers
2+28−2+5
2+33−2
combine
2+33−2
ANSWER IS
33
