Answer:
I= 84
Step-by-step explanation:
for
![I=\int\limits^{}_{} \int\limits^{}_D {x*y} \, dA = \int\limits^{}_{} \int\limits^{}_D {x*y} \, dx*dy](https://tex.z-dn.net/?f=I%3D%5Cint%5Climits%5E%7B%7D_%7B%7D%20%5Cint%5Climits%5E%7B%7D_D%20%7Bx%2Ay%7D%20%20%5C%2C%20dA%20%3D%20%20%5Cint%5Climits%5E%7B%7D_%7B%7D%20%5Cint%5Climits%5E%7B%7D_D%20%7Bx%2Ay%7D%20%20%5C%2C%20dx%2Ady)
since D is the rectangle such that 0<x<3 , 0<y<3
![I=\int\limits^{}_{} \int\limits^{}_D {x*y} \, dA = \int\limits^{3}_{0} \int\limits^{3}_{0} {x*y} \, dx*dy = \int\limits^{3}_{0} {x} \, dx\int\limits^{3}_{0} {y} \, dy = x^{2} /2*y^{2} /2 = (3^{2} /2 - 0^{2} /2)* (3^{2} /2 - 0^{2} /2) = 3^{4} /4 = 81/4](https://tex.z-dn.net/?f=I%3D%5Cint%5Climits%5E%7B%7D_%7B%7D%20%5Cint%5Climits%5E%7B%7D_D%20%7Bx%2Ay%7D%20%20%5C%2C%20dA%20%3D%20%20%5Cint%5Climits%5E%7B3%7D_%7B0%7D%20%5Cint%5Climits%5E%7B3%7D_%7B0%7D%20%7Bx%2Ay%7D%20%20%5C%2C%20dx%2Ady%20%3D%20%20%5Cint%5Climits%5E%7B3%7D_%7B0%7D%20%7Bx%7D%20%20%5C%2C%20dx%5Cint%5Climits%5E%7B3%7D_%7B0%7D%20%7By%7D%20%20%5C%2C%20dy%20%20%3D%20x%5E%7B2%7D%20%2F2%2Ay%5E%7B2%7D%20%2F2%20%3D%20%20%283%5E%7B2%7D%20%2F2%20-%200%5E%7B2%7D%20%2F2%29%2A%20%283%5E%7B2%7D%20%2F2%20-%200%5E%7B2%7D%20%2F2%29%20%3D%203%5E%7B4%7D%20%2F4%20%3D%2081%2F4)
So the y-int is 1 so it has the intercept the y axis at 0,1. Then it’s a curved line since it’s the sqrt of x. So the answer is bottom left one.
Answer:
The answer is:
Step-by-step explanation:
Given: 250 lbs of food to start.
Let d = number of days.
250/d = Total days
They eat 12 lbs per day.
Substitute to get the number of days it will last:
250 / 12 = 20.83 days the food will last
Hope this helps!! Have an Awesome day!!! :-)
Answer:
Solution given:
Let there be a point P(x, y) equidistant from
A(-3, 2) and B(0,4),
so PA = PB,
![\sqrt{(x+3)²+(y-2)²}=\sqrt{(x-0)²+(y-4)²}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x%2B3%29%C2%B2%2B%28y-2%29%C2%B2%7D%3D%5Csqrt%7B%28x-0%29%C2%B2%2B%28y-4%29%C2%B2%7D)
squaring both side
![(\sqrt{(x+3)²+(y-2)²})^{2}=(\sqrt{(x-0)²+(y-4)²})²](https://tex.z-dn.net/?f=%28%5Csqrt%7B%28x%2B3%29%C2%B2%2B%28y-2%29%C2%B2%7D%29%5E%7B2%7D%3D%28%5Csqrt%7B%28x-0%29%C2%B2%2B%28y-4%29%C2%B2%7D%29%C2%B2)
x²+6x+9+y²-4y+4=x²+y²-8y+16
x²+6x+y²-4y-x²-y²+8y=16-4-9
6x-4y+8y=3
<u>6x-4y=3 </u><u>i</u><u>s</u><u> </u><u>a</u><u> </u><u>r</u><u>e</u><u>q</u><u>u</u><u>i</u><u>r</u><u>e</u><u>d</u><u> </u><u>l</u><u>o</u><u>c</u><u>u</u><u>s</u><u> </u>
<u>A</u><u>c</u><u>t</u><u>u</u><u>a</u><u>l</u><u>l</u><u>y</u><u>:</u>
<u>A</u><u> </u><u>locus</u><u> </u><u>is</u><u> </u><u> </u><u>a curve or other figure formed by all the points satisfying a particular equation of the relation between coordinates, or by a point, line, or surface moving according to mathematically defined conditions.</u>
Answer:
-19
Step-by-step explanation:
-19 is larger because the further you go into the negatives, the smaller the number gets because it is negative