Step-by-step explanation:
I'll do 2.
Alright,Alex let say we have factored a quadratic into two binomial, for example
![(5x + 3)(6x - 4)](https://tex.z-dn.net/?f=%285x%20%2B%203%29%286x%20-%204%29)
If we set both of those equal to zero
![(5x + 3)(6x + 4) = 0](https://tex.z-dn.net/?f=%285x%20%2B%203%29%286x%20%2B%204%29%20%3D%200)
We can used the zero product property in this case to find the roots of the quadratic equation.
This means that
![if \: ab = 0 \: then \: a = 0 \: and \: b = 0](https://tex.z-dn.net/?f=if%20%20%5C%3A%20ab%20%3D%200%20%5C%3A%20then%20%5C%3A%20a%20%3D%200%20%5C%3A%20and%20%5C%3A%20b%20%3D%200)
This means we set each binomal equal to zero to find it root.
![5x + 3 = 0](https://tex.z-dn.net/?f=5x%20%2B%203%20%3D%200)
![5x = - 3](https://tex.z-dn.net/?f=5x%20%3D%20%20-%203)
![x = - \frac{3}{5}](https://tex.z-dn.net/?f=x%20%3D%20%20-%20%20%5Cfrac%7B3%7D%7B5%7D%20)
![6x + 4 = 0](https://tex.z-dn.net/?f=6x%20%2B%204%20%3D%200)
![6x = - 4](https://tex.z-dn.net/?f=6x%20%3D%20%20-%204)
![x = - \frac{2}{3}](https://tex.z-dn.net/?f=x%20%3D%20%20-%20%20%5Cfrac%7B2%7D%7B3%7D%20)
So our roots are negative 3/5 and negative 2/3 using zero product property
There would be 8 tigers in the exhibit. Hope this helps.
i would pick number C) since i think it would be the correct answer
Let’s call the speed of the slower car S, then the speed of the other is S+10mph.
At 5pm they have been travelling for 3 hours. The slower car travels a distance 3S and the faster one 3(S+10).
But the two distances must add up to 240 miles so 3S+3(S+10)=240, 3S+3S+30=240, 6S=210, S=35 mph. The faster car’s speed is 45mph. We can see that 3S is the same distance as 3x, so x=S=35 mph, and the distance the faster car travels is 3×45=135 miles.
Answer:
89m
Step-by-step explanation:
First, find the area of the rectangle (ignoring the missing triangle inside). The area of the rectangle is its base times its height, which is 8*13=104.
Next, find the area of the triangle. The area of the triangle is its base times height, divided by two.
The width of one side of the rectangle is 13, and the width of the side of the rectangle is 8 (4 + 4). Therefore, subtract 8 from 13 and the missing section in the side of the rectangle is 5. 5 is equal to the base of the triangle.
The height of the triangle is given, which is 6. As stated before, the area of a triangle is its base times height divided by two, which is 5*6/2 in this case. The area of the triangle is equal to 15.
Now, subtract the area of the triangle from the area of the rectangle. 104-15=89.