Answer:
C(50;-20)
Step-by-step explanation:
The question is asking for the midpoint of the line.
The triangle is formed by placing a line directly from the y-axis to the x-axis.
The midpoint theorem is[ (x1+x2)/2 ; (y1+y2)/2 ].
your coordinates at A is (0;-40), because the x value is 0 on the line as shown in the diagram above point A.
Your coordinates for B are (100;0)
C[(x1+x2)/2 ; (y1+y2)/2 ]
C [(0+100)/2 ; (-40+0)/2 ]
C[ 100/2 ; -40/2]
C (50 ; -20)
Answer:
38°
Step-by-step explanation:
a²=b²+c²-2bc cos A
5²=3²+7²-2(3)(7) cos A
-33 = -42 cos A
A =
(-33/-42)
A = 38°
Answer: 26
Step-by-step explanation:
First Data: (4 - 7)^2
Second data: (6 - 7)^2
Third Data: (11 - 7)^2
So the SST is (4 - 7)^2 + (6- 7)^2 + (11 - 7)^2 = 9 + 1 + 16 = 26
Hope this helps! :)
Congrats on making it to integrals!
Basically you need to integral your function because integral rate in respect to time = total amount.
Also your bounts are (2001-1990,2006-1990)=(11,16)
Thus we take integral like:
int(11,16)(928.5e^(0.0249x))=
(11,16)928/0.0249e^(0.0249(x))-928/0.0249e^(0.0249(x))
(You can check this by taking its derivative and seeing if you get the original function)
928/0.0249e^(0.0249(16))-928/0.0249e^(0.0249(11))=6498.1
Answer:
y = -3x - 1
Step-by-step explanation:
The slope intercept form of the equation of a line is:
y = mx + b
where m is the slope, and b is the y-intercept.
First, we find the slope of the line using the two given points.
m = slope = (y2 - y1)/(x2 - x1) = (2 - (-7))/(-1 - 2) = (2 + 7)/(-3) = 9/(-3) = -3
Now we plug in the slope we found into the equation above.
y = -3x + b
We need to find the value of b, the y-intercept. We use the coordinates of one of the given points for x and y, and we solve for b. Let's use point (2, -7), so x = 2, and y = -7.
y = -3x + b
-7 = -3(2) + b
-7 = -6 + b
Add 6 to both sides.
-1 = b
Now we plug in -1 for b.
y = -3x - 1