Simplify each expression 1+10a-5a x-9-3x

Mathematics

2 answers:

Burka [1]3 years ago

7 0

1.) 1+10a-5a
Subtract 5a from 10a
Final Answer: 1+5a

3.) x-9-3x
Subtract 3x from x
Final Answer: -9-2x

5.) 1-4n+2n-1
Subtract 1 from 1
-4n+2n
Add
Final Answer: -2n

7.) 10k-3k
Subtract
Final Answer: 7k

9.) 5r+4-4
Subtract
Final Answer: 5r

Korvikt [17]3 years ago

3 0

1) 1+10a - 5a
1+ 5a

3) x-9-3x
-9-2x

5) 1-4n+2n-1
-2n

7) 10k-3k = 7k

9) 5r+4-4= 5r

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the diameter of a parabolic mirror is 22 centimeters and the mirror has a depth of 0.5 centimeter at th center what is the equat

NeX [460]

I figured it out
warning: mildly incoherent math logic ahead

ok, so if you want a parabola facing right, then
first I'll solve for up down standard parabola then reflect across x=y line
so
y=ax²+bx+c

so let's say teh vertex is at the origin
that means when x=0, y=0
0=0
c=0
y=ax²+bx
ok, see diagram
we have some points, (0,0) and (11,0.5) and (-11,0.5)
use those oints to find a and b
0.5=121a+11b
0.5=121a-11b
add dem equations
1=242a
divide by 242
1/242=a
subsitute
0.5=121a+11b
0.5=121(1/242)+11b
0.5=0.5+11b
0=11b
0=b
oook

de equaiton is
$y= \frac{1}{242} x^2$
if we want it facing right
switch x and y
$x= \frac{1}{242} y^2$

the equation is $y= \frac{1}{242} x^2$ or $f(x)= \frac{1}{242} x^2$ or $x= \frac{1}{242} y^2$ or $f(y)= \frac{1}{242} y^2$
depends which way you want it and if you want f(x) or f(y) or x or y