9514 1404 393
Answer:
8
Step-by-step explanation:
The distance formula is used to find the distances to each of the points:
d = √((x2-x1)² +(y2-y1)²)
d = √((4-0)² +(2-0)²) +√((4-8)² +(2-(-1))²) +√((4-5)² +(2-4)²)
d = √20 +√25 +√5 = 2√5 +5 +√5
d = 5 +3√5
Comparing to the form ...
d = m +n√5
we see that m=5, n=3. The the sum m+n = 5+3 = 8.
First denominator -- x
<span>first numerator ---- x-2 </span>
<span>new denominator -- x+3 </span>
<span>new numerator ---- x+1 </span>
<span>(x-2)/x + 3/20 = (x+1)/(x+3) </span>
<span>times 20x(x+3) , the LCD </span>
<span>20(x+3)(x+1) + 3x(x+3) = 20x(x+1) </span>
<span>expanding and simplifying gave me </span>
<span>x^2 + 3x - 40 = 0 </span>
<span>(x-5)(x+8) = 0 </span>
<span>x = 5 or x=-8 </span>
<span>if x=5, the original fraction was 3/5 </span>
<span>if x=-8 the original fraction was -10/-8 or 5/4 </span>
<span>check for 3/5 , new fraction would be 6/8 or 3/4 </span>
<span>3/5 + 3/20 = 12/20 + 3/20 = 15/20 = 3/4 </span>
<span>but for 5/4, new fraction would be 8/7 </span>
<span>5/4 + 3/20 = 28/20 = 7/5 ≠ 8/7 </span>
<span>BUT, if we take the unsimplified fraction -10/-8 , new fraction would be -7/-5 = 7/5 </span>
<span>So the original fraction would be 3/5 for sure, but </span>
<span>also the unsimplified fraction -10/-8</span>
Answer:
Step-by-step explanation:
is the given line 3x - 4y = -17?
then,
- 4y = -3x -17
y=(3/4)x+17/4
it is parallel, so slope of our line is 3/4 or 0.75
y=0.75x+b
next, lets plug in the given point to get the y-int
2=0.75*(-3)+b
2=-2.25+b
b-2.25=2
b=4.25
the equation is y=0.75x+4.25
does this clear anything, or am I off topic? please tell me I will help you
Answer:
5
Step-by-step explanation:
the constant is just the slope (5)
I believe it's the first one, if a = b, then b = a.