<span><span><span>x3</span>+3x5</span>=x5</span><span>3x5+x3=x5</span>Subtract x^5 from both sides.<span>3x5+x3−<span>x5</span>=x5−<span>x5</span></span><span>2x5+x3=0</span>Factor left side of equation.<span><span><span>x3</span>(2x2+1)</span>=0</span>Set factors equal to 0.<span><span><span>x3</span>=0 or 2x2+1</span>=0</span><span>x=<span>0</span></span>
Answer:
Step-by-step explanation:
8 (x -3) +7 = 2x (4 -17)
8(x -3) +7 = 2x (-13) here was the error because the had 13 that is incorrect
8x -24 +7 = -26x
8x -17 = -26x
-17 = -26x -8x
-17 = -34x
-17/-34 = x
1/2 =x
The answer would be (-5+_sqroot(-3))/2 which are answers A and F
Answer:
A
Step-by-step explanation:
<em>Okay so, im not the best at explaining, but so we have a percentage. its 25%. you want to take the 25% and put it over 100 because a percentage is a number or ratio expressed as a fraction of 100. so it will be written as 25%/100</em>
<em />
<em>divide 25 by 100 and you get 0.25, correct? so that's one step further towards the answer.</em>
<em>then we write x/90 because we don't know (well we do) what we're gonna put. but, we're gonna multiply 0.25 by 90 and we get 22.5, which is equivalent to </em><em>22.50</em><em>.</em>
Answer:
45
Step-by-step explanation:
AEF is a similar triangle to ABC. that means it has the same angles, and the sides (and all other lines in the triangle) are scaled from the ABC length to the AEF length by the same factor f.
now, what is f ?
we know this from the relation of AC to FA.
FA = 12 mm
AC = 12 + 28 = 40 mm
so, going from AC to FA we multiply AC by f so that
AC × f = FA
40 × f = 12
f = 12/40 = 3/10
all other sides, heights, ... if ABC translate to their smaller counterparts in AEF by that multiplication with f (= 3/10).
the area of a triangle is
baseline × height / 2
aABC = 500
and because of the similarity we don't need to calculate the side and height in absolute numbers. we can use the relative sizes by referring to the original dimensions and the scaling factor f.
baseline small = baseline large × f
height small = height large × f
we know that
baseline large × height large / 2 = 500
baseline large × height large = 1000
aAEF = baseline small × height small / 2 =
= baseline large × f × height large × f / 2 =
= baseline large × height large × f² / 2 =
= 1000 × f² / 2 = 500 × f² = 500 ×(3/10)² =
= 500 × 9/100 = 5 × 9 = 45 mm²
