F - because you must move the decimal place 9 spaces to the left in order to have only a single digit in front of the decimal place. (There can never be more than one otherwise it is no longer scientific notation.
Answer: 5+sqrt(97)/12, 5-sqrt(97)/12 or we write it as [5+/-sqrt(97)]/(12)
5x=6x^2-3
6x^2-5x-3=0
x=-b+/-sqrt(b^2-4ac)/2a
x=-(-5)+/-sqrt((-5^2-4(6)(-3))/2(6)
x= 5+/-sqrt(97)/12
And decimal form is;
x=1.237, -0.4041
If anyone has any questions please feel free to ask and I’ll reply ASAP. Thanks
You can solve this by setting up 2 equations and solving quadratically.
perimeter of a rectangle is found by the formula 2*base + 2*height = perimeter.
area is found by base*height=area.
2b+2h = 24 and b*h=27 solving one equation for base or height and substituting in the other equation will give us an equation we can use for this particular problem. solving b*h=27 for b will give us b= 27/h. substituting this into the perimeter equation we get 2(27/h) + 2h = 24. If we use algebra to manipulate the equation we get 24-2h= 2(27/h) so 24-2h = 54/h multiplying both sides by h give (24-2h)h = 54 moving the 24h-2h^2 to the other side gives 0 = 2h^2-24h+54 solving the quadratic for h gives (2h+6)(h+9)=0 so solving for h we get h=6/2 = 3 or h=9 is we use h =9 and plug it into the original equation for 2b+2h=24 then we get 2b+2(9)= 24 so then 2b = 24-18 so b = 6/2 =3. so we get 2(3)+2(9)=24 so 6+18=24 for perimeter and for b*h=27 we get 3*9=27 so the dimensions are 3x9 3 is the shorter side and 9 is the longer side = 3x9
6y - 4(y - 1) +6
6y - 4y -4(-1) + 6
6y - 4y +4 + 6
2y + 10
Answer:
y = -3x + 2
Step-by-step explanation:
The linear equation is in the form
y = mx + b
where m is the slope and b is the y-intercept
the slope can be calculated using two points
Let us have; (-2,8) and (0,2)
The equation of the slope is ;
m = (y2-y1)/(x2-x1) = (2-8)/(0+2) = -6/2 = -3
So for the y-intercept, we select any of the points to substitute
Let us have (0,2)
Substitute this into;
y = -3x + b
2 = -3(0) + b
b = 2
So the equation is;
y = -3x + 2
