Simplify 1/3(6x - 15) to 6x - 15/3
6x - 15/3 = 1/2(10x - 4)
Factor out the common term; 3
3(2x - 5)/3 = 1/2(10x - 4)
Cancel out 3
2x - 5 = 1/2(10x - 4)
Simplify 1/2(10x - 4) to 10x - 4/2
2x - 5 = 10x - 4/2
Factor out the common term; 2
2x - 5 = 2(5x - 2)/2
Cancel out 2
2x - 5 = 5x - 2
Subtract 2x from both sides
-5 = 5x - 2 - 2x
Simplify 5x - 2 - 2x to 3x - 2
-5 = 3x - 2
Add 2 to both sides
-5 + 2 = 3x
Simplify -5 + 2 to -3
-3 = 3x
Divide both sides by 3
- 1 = x
Switch sides
<u>x = -1</u>
Answer:
51
Step-by-step explanation:
big windows 48
small windows 12
broken windnows9
unbroken windows= 48+12-9= 51
unbroken 51 windows
2/3y = 18
y = 18 / (2/3)
y = 18 * 3/2
y = 54/2
y = 27 <==
<span>Hello : let
A(5,-4) B(-1,8)
the slope is : (YB - YA)/(XB -XA)
(8+4)/(-1-5) =-2
an equation is : y=ax+b a is a slope</span>
y = -2x +b
the line through point A(5,-4) :
-4= -2(5)+b<span>
<span>b = 6
the equation is : y =-2x+6</span></span>
Tgα = tan(α) = sqrt(2)/1 = opposite/ adjacent
opposite = sqrt(2)
adjacent = 1
hypotenuse = sqrt(opposite^2 + adjacent^2)
= sqrt(sqrt(2)^2 + 1^2) = sqrt(3)
sin(α) = opposite/hypotenuse
= sqrt(2)/sqrt(3)
cos(α) = adjacent/hypotenuse
= 1/sqrt(3)
now we can calculate the value of
5sin²α+3cos²α / 3sin²α-5cos²α
... do the math