Assuming you want the equation in slope intercept form, you first need to use slope formula to find the slope.
Plug in the coordinates that you have, (3,-1) and (4,7), for the x and y values respectively.
Which reduces to 8/1=8.
The slope of your equation is 8.
Slope intercept form is: y=mx+b. m is your slope and b is your y-intercept, x and y stay unchanged.
Plug the slope in:
y=8x+b.
Now, you can plug one of the sets of coordinates into the x and y of the equation to find b. I'm using (3,-1).
-1=8(3)+b
-1=24+b
Subtract 24 from both sides.
-25=b
Now plug this into the equation!
y=8x-25 is your final equation.
I hope this helps :)
The Law of Cosines features the 3 side lengths of a triangle, plus the measure of the angle opposite one of those sides.
We want angle x, which is opposite the side of length 39.
Then: a^2 = b^2 - 2ab cos C becomes 39^2 = 36^2 + 59^2 - 2(36)(59)cos x
or 1521 = 3481 + 1296 - 2(36)(59) cos x
Subtract (3481+1296) from both sides: 1521 - 4777 = -4248cos x
-3256 = -4248cos x
-3256
Then: cosx = --------------- = 0.766
-4248
Solving for x: x = arccos -0.766 = 0.698 radian, or 40 degrees (answer)
Answer:
Step-by-step explanation:
1:3
6:18
9:27
are all equivlent ratios
Step-by-step explanation:
When -16t² + 32t + 75 < 75, -16t² + 32t < 0.
=> 16t(2 - t) < 0, t < 0 or t > 2.
However t < 0 is rejected as time cannot be a negative value. Hence the solution in interval notation is (2, ∞).
