Step-by-step explanation:
The root of an equation is when x=0.
We need to rewrite this as 3x²-4x+10=0.
The quadratic formula is
(-b+or-sqrt(b²-4ac))/2a
so 4+or-sqrt(16-120)/2a
since the sqrt can no be negative this answer will have imaginary numbers.
(4+2i sqrt(26))6 and (4-2i sqrt(26))6
simplified is
x=(2+i sqrt(26))/3 and x=(2-i sqrt(26))/3
Answer:
y=3/5x-4
Step-by-step explanation:
The surface area would be all those areas combined. The shape has been split up into 6 smaller quadrilaterals, so we can easily solve from there. The leftmost one would be 3*4 = 12. The two rectangles beside it can be combined: 4*7 = 28, the one beside it would be: 3*4 = 12, and the last column would be 4*7 = 28. The last thing you need to do is add them together: 12+28+12+28 = 80.
The surface area of the rectangular prism is 80
Answer:
3.162 units
Step-by-step explanation:
First identify the points that undergo transformation
You have;
A = (0,0) and B =(1,3)
The transformation is T: (x,y)= (x+2, y+1), this means to get the image you add the x coordinate of the object to 2, and the y coordinate to 1.
<u>Finding coordinates of the image points A' and B' </u>
A'= (0+2,0+1) = (2,1)
B'=(1+2, 3+1)=(3,4)
<u>Finding the distance A'B'</u>
The formula for distance d is
where
x₁=2
x₂=3
y₁=1
y₂=4
d=distance between two points
Applying the formula
The distance A'B' is √10 =3.162 units
