Answer:
see below
Step-by-step explanation:
of means multiply
1/2 * 1/3
1/6
1/2 * 3/4
3/8
I got D. 7.5 because the sides are in a 4 to 1 ratio. The corresponding side of 40 on the smaller triangle is 10 and 40/10 is 4. to find the corresponding side of 30, do 30/4 and you get 7.5
Answer:
![\large\boxed{12y-9x^2+36-3x^2y=3(3+y)(2-x)(2+x)}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B12y-9x%5E2%2B36-3x%5E2y%3D3%283%2By%29%282-x%29%282%2Bx%29%7D)
Step-by-step explanation:
![12y-9x^2+36-3x^2y\\\\=36+12y-9x^2-3x^2y\\\\=12(3+y)-3x^2(3+y)\\\\=(3+y)(12-3x^2)\\\\=(3+y)(3)(4-x^2)\\\\=3(3+y)(2^2-x^2)\qquad\text{use}\ (a-b)(a+b)=a^2-b^2\\\\=3(3+y)(2-x)(2+x)](https://tex.z-dn.net/?f=12y-9x%5E2%2B36-3x%5E2y%5C%5C%5C%5C%3D36%2B12y-9x%5E2-3x%5E2y%5C%5C%5C%5C%3D12%283%2By%29-3x%5E2%283%2By%29%5C%5C%5C%5C%3D%283%2By%29%2812-3x%5E2%29%5C%5C%5C%5C%3D%283%2By%29%283%29%284-x%5E2%29%5C%5C%5C%5C%3D3%283%2By%29%282%5E2-x%5E2%29%5Cqquad%5Ctext%7Buse%7D%5C%20%28a-b%29%28a%2Bb%29%3Da%5E2-b%5E2%5C%5C%5C%5C%3D3%283%2By%29%282-x%29%282%2Bx%29)
Hello there,
The time it takes an excursion boat to travel 36 miles downstream is the same as the time it takes the boat to travel 12 miles upstream. If the stream is 4 miles per hour, which of the following is the speed of the boat in still water.
Answer: 8 m/h
Answer:
Line MN is a secant
Step-by-step explanation:
If a line intersect the circle at two points, then it is secant