R=-1/800(x^2-2400x)
use R'=0
R'=1/400x-300, 1/400x=300 => x=1200 critical point
take R(1200), we know its max bcuz of the orientation of R
Answer:
7) 5
8)3
9)4
Step-by-step explanation:
just count
Answer:
RT = 20
Step-by-step explanation:
Given that,
Point S lies on the line segment RT.
We have, ST = 3x-8, RT = 4x and RS = 4x-7
It is clear that, RT = RS+ST
Putting the values, we get :
4x = 4x-7 + 3x-8
Taking like terms together,
4x-4x-3x = -7-8
-3x = -15
x = 5
Put the value of x in RT = 4x.
So,
RT = 4(5)
RT = 20
Hence, length of RT = 20.
Answer:
x=2,y=3 (2,3)
Step-by-step explanation:
substitution method?
![x=\frac{5y-9}{3} \\](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B5y-9%7D%7B3%7D%20%5C%5C)
![-\frac{4(5y-9)}{3} + 6y=10](https://tex.z-dn.net/?f=-%5Cfrac%7B4%285y-9%29%7D%7B3%7D%20%2B%206y%3D10)
simplify
(2,3)
Answer:
<h2>8.3 in²</h2>
Step-by-step explanation:
We have
three triangles with the base <em>b = 2 in.</em> and the height <em>h₁ = 2.2 in.</em>
one triangle with the base <em>b = 2 in. </em>and the height <em>h₂ = 1.7 in.</em>
The formula of an area of a triangle:
![A=\dfrac{b\cdot h}{2}](https://tex.z-dn.net/?f=A%3D%5Cdfrac%7Bb%5Ccdot%20h%7D%7B2%7D)
<em>b</em><em> - base</em>
<em>h</em><em> - height</em>
Substitute:
![A_1=\dfrac{(2)(2.2)}{2}=\dfrac{4.4}{2}=2.2\ in^2](https://tex.z-dn.net/?f=A_1%3D%5Cdfrac%7B%282%29%282.2%29%7D%7B2%7D%3D%5Cdfrac%7B4.4%7D%7B2%7D%3D2.2%5C%20in%5E2)
![A_2=\dfrac{(2)(1.7)}{2}=1.7\ in^2](https://tex.z-dn.net/?f=A_2%3D%5Cdfrac%7B%282%29%281.7%29%7D%7B2%7D%3D1.7%5C%20in%5E2)
![S.A.=3A_1+A_2](https://tex.z-dn.net/?f=S.A.%3D3A_1%2BA_2)
![S.A.=3(2.2)+1.7=6.6+1.7=8.3\ in^2](https://tex.z-dn.net/?f=S.A.%3D3%282.2%29%2B1.7%3D6.6%2B1.7%3D8.3%5C%20in%5E2)