All four sides of the original square have length s.
Adding 3 to s results in s+3, the length of the resulting rectangle.
Subtracting 3 from s results in s-3, the width of the rectangle.
The area of the rectangle is (s+3)(s-3) = s^2 - 9 = 27,
and therefore s^2 = 36, and s = 6 square units.
Answer:
H'(8v,-6v)
Step-by-step explanation:
Here coordinate of H is (8,-6). We are dilating it using the rule (x,y)-->(kx,ky) where 'k' is scale factor.
For our problem , the dilation factor is "v"
So, image would be (8v,-6v)
Answer:
106
Step-by-step explanation:
The area of one of the triangles is 1/2*5*3
The area is 7.5, but there are 2 triangles so the combined area is 15
The area for whole rectangle is 7*(5+3+5)=7*13=91
So the total area is 91+15= 106
(1)
(f+g)(x) = 6x^2+2x-7+4x-3=6x^2+6x-10
(f-g)(x)=6x^2+2x-7-4x+3 = 6x^2-2x-4
(2)
(f+g)(x)=2x-3x+1-2x=-3x+1
(f-g)(x)=2x-3x-1+2x=x-1
Parallel lines have the same slope, but different y-intercepts
The slope of both lines is -2/3
To find the equation that passes through (7, 3) we can use the point-slope formula: y - y1 = m (x - x1)
y - (3) = (-2/3) (x - (7))
y - 3 = -2/3x + 4 and 2/3
y = -2/3x + 7 and 2/3
or
y = -2/3x + 7.67
:)))
