A = 1/2h(b1 + b2)
2A = h(b1 + b2)
2A/h = b1 + b2
b1 = 2A/h - b2
<span>The correct answer is 2x</span>²<span>-16x+30.
Explanation<span>:
(p*q)(x) is a composition of the two functions p(x) and q(x); it is the same as p(q(x)). We replace every x in p(x) with our value of q(x), x-3:
instead of 2x</span></span>²<span><span>, we have 2(x-3)</span></span>²<span><span>, and instead of -4x, we have -4(x-3).
This gives us 2(x-3)</span></span>²<span><span>-4(x-3). This is the same as 2(x-3)(x-3)-4(x-3).
Multiplying, we have
2(x*x-3*x-3*x-3(-3))-(4*x-4*3)
=2(x</span></span>²<span><span>-3x-3x+9)-(4x-12)
=2(x</span></span>²<span><span>-6x+9)-4x+12.
Using the distributive property gives us
2*x</span></span>²<span><span>-2*6x+2*9-4x+12
=2x</span></span>²<span><span>-12x+19-4x+12.
Combine like terms, and we have 2x</span></span>²<span><span>-16x+30.</span></span>
Answer:
Length: 20, Width: 14
Step-by-step explanation:
(x-12)(x-18)
x^2-30x+216=280
x^2-30x-64=0
x=32,-2
Plug 32 into x, and see if it equals 280
Answer:
60 cm³
volume of triangular prism : area of base * Length
Given:
- angle between 4 cm and 3 cm : 90°
Find area of base:



Volume :