Formula:
V = 1/3 * b * h
Plug in what we know:
35 = 1/3 * b * 7
Multiply 7 * 1/3:
35 = 2 1/3 * b
Multiply:
35 = 2 1/3b
Divide 2 1/3 to both sides:
b = 15
<span>f(x) =-(x+9)(x-21)
Manipulating algebrically,
We get,
</span>f(x) =-(x+9)(x-21)
= -(x^2 -21x + 9x - 189)
= -(x^2 -12x - 189)
= -x^2 + 12x + 189
Axis of symmetry = -b/2a
plugging the values,
x = -12/-2
= 6
36-8 is 28 which is Haruki's distance and his distance minus 3 is delilahs distance which is 25 meters
Answer:
The roots of the given equation is x=4,3i,-3i
Step-by-step explanation:
The given cubic equation is
![y=x^3-4x^2+9x-36](https://tex.z-dn.net/?f=y%3Dx%5E3-4x%5E2%2B9x-36)
To find the roots we have to equate the equation to zero
ie, ![x^3-4x^2+9x-36=0](https://tex.z-dn.net/?f=x%5E3-4x%5E2%2B9x-36%3D0)
It can be done by using Synthetic division method
Therfore [tex](x-1) is not a factor or root
now put x=-1
Therfore [tex](x-1) is not a factor or root
similarly let x=2,-2,3,-3 all not equal to zero so the are not roots.
let x-4 is a factor of given equation
then it satifies the equation ie (x-4) is a root
And it may be written as
[tex](x-4)(x^2+9)
Answer:
![BA = 6.0](https://tex.z-dn.net/?f=BA%20%3D%206.0)
![BC = 13.4](https://tex.z-dn.net/?f=BC%20%3D%2013.4)
Step-by-step explanation:
Given
The attached triangle
Solving (a) BA
Considering the tangent of angle C, we have:
![tan\ C = \frac{BA}{AC}\\](https://tex.z-dn.net/?f=tan%5C%20C%20%3D%20%5Cfrac%7BBA%7D%7BAC%7D%5C%5C)
This gives:
![tan\ 25 = \frac{BA}{12}](https://tex.z-dn.net/?f=tan%5C%2025%20%3D%20%5Cfrac%7BBA%7D%7B12%7D)
Make BA the subject
![BA = 12 * tan\ 25](https://tex.z-dn.net/?f=BA%20%3D%2012%20%2A%20tan%5C%2025)
![BA = 12 * 0.4663](https://tex.z-dn.net/?f=BA%20%3D%2012%20%2A%200.4663)
--- approximated
Solving (a) BC
Using Pythagoras theorem
![BC^2 = BA^2 + AC^2](https://tex.z-dn.net/?f=BC%5E2%20%3D%20BA%5E2%20%2B%20AC%5E2)
![BC^2 = 6.0^2 + 12^2](https://tex.z-dn.net/?f=BC%5E2%20%3D%206.0%5E2%20%2B%2012%5E2)
![BC^2 = 180](https://tex.z-dn.net/?f=BC%5E2%20%3D%20180)
Square root of both sides
![BC = \sqrt{180](https://tex.z-dn.net/?f=BC%20%3D%20%5Csqrt%7B180)
![BC = 13.4](https://tex.z-dn.net/?f=BC%20%3D%2013.4)