AB is divided into 8 equal parts and point C is 1 part FROM A TO B, so the ratio is 1:7, with C being 1/7 of the way. The ratio is k, found by writing the numerator of the ratio (1) over the sum of the numerator and denominator (1+7). So our k value is 1/8. Now we need to find the rise and the run (slope) of the points A and B.
. That gives us a rise of -4 and a run of 12. The coordinates of C are found in this formula:
![C(x,y)=[ x_{1} +k(run), y_{1} +k(rise)]](https://tex.z-dn.net/?f=C%28x%2Cy%29%3D%5B%20x_%7B1%7D%20%2Bk%28run%29%2C%20y_%7B1%7D%20%2Bk%28rise%29%5D)
. Filling in accordingly, we have
![C(x,y)=[-3+ \frac{1}{8}(12),9+ \frac{1}{8}(-4)]](https://tex.z-dn.net/?f=C%28x%2Cy%29%3D%5B-3%2B%20%5Cfrac%7B1%7D%7B8%7D%2812%29%2C9%2B%20%5Cfrac%7B1%7D%7B8%7D%28-4%29%5D%20%20)
which simplifies a bit to
. Finding common denominators and doing the math gives us that the coordinates of point C are
. There you go!
Answer: 1298 square feet
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Work Shown:
Area of Rectangle on the Left = length*width = c*d = 24*20 = 480
Area of Rectangle in the center = length*width = c*b = 24*10 = 240
Area of Rectangle on the Right = length*width = c*e = 24*17 = 408
Area of top triangle = (base*height)/2 = b*a/2 = 10*17/2 = 170/2 = 85
Area of bottom triangle = (base*height)/2 = b*a/2 = 10*17/2 = 170/2 = 85
Add up the individual areas to get:
480+240+408+85+85 = 1298
The units are in square feet since this is dealing with area.
A number is defined as an arimethical value, expressed by word or symbol. by definition infinity is NOT a "number" as it holds no "actual" value.
infinity can not be represented so it is above digits. infinity squared would be uncountable thus infinity, therefore, there is no number higher than infinity.
Width= W
length=2w+11
diagonal=2w+13
use the Pythagorean Theorem
(2w+13)^2=w^2+(2w+11)^2
4w^2+52w+169=w^2+4w^2+44w+121
simplify
52w+169=w^2+44w+121
w^2+44w-52w-169+121=0
w^2-8w-48=0
factor
(w-12)(w+4)=0
w-12=0
w=12 inches (width)
l=2*12+11=35 inches (length)
Answer:
y = -9
Step-by-step explanation:
y2 - y1 / x2 - x1
-9 - (-9) / -3 - 1
0 / -4
y = 0 + b
-9 = b
