Answer:
see below
Step-by-step explanation:
-90 degrees, the rule is (x, y) --------> (-y, x)
The leftmost point is at (1,1) so it will be at (-1, 1)
The top right point is at (4,1) so it will be at (-1,4)
The bottom right point is at (4,-1) so it will be at (1,4)
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the y-axis
a point (x, y ) → (- x, y )
Hence
A'(-5, - 3 ) → A''(5, - 3 )
B'(4, 4 ) → B''(- 4, 4 )
C'(4, 2 ) → C''(- 4, 2 )
D'(- 2, - 1 ) → D''(2, - 1 )
Answer: (y + 3) = -1/3 (x - 2)
Step-by-step explanation:
Point-slope form has the form of
y - y1 = m (x - x1)
Where
y1 is the y-value of a point on the line
x1 is the x-value of a point on the line
m is the slope of the line
The problem already gives a point on the line, (2, -3)
(y + 3) = m (x - 2)
Remember to put the opposite value of the x and y values. (In other words, do NOT write (y - 3) = m (x + 2) )
The slope of a perpendicular line is the opposite reciprocal of slope of the line it is perpendicular to. The perpendicular line given in the equation is
3x - y = 4
When rearranged to slope-intercept form, we get
y = 3x - 4
Meaning the slope of the perpendicular line is 3. The opposite reciprocal of positive three is negative one-third. Therefore, the slope of the line we are solving for is -1/3.
Answer:
416
Step-by-step explanation:
Add all the separate areas.
Answer:
1.45 million accessories
Step-by-step explanation:
we need to write an algebraic equation
y = (100 - 10x^2)x - 10x
y represents the profit
x represents the # of accesories produced in millions
I used 10 because that's the cost of making each accessory
100-x^2=consumer price
x-10x= accessory-cost to make all the accessories
we know that 2 million accessories make 100 million
so the number of accessories that approximately make 100 should be around 2 million
in the options 1.45 is given which is close to 2
even though 3.45 is closer than two you would go beyond a 100 million profit which isn't what you want
if the options weren't given you would have to use all values from 1-2 as "x"
hope this helps!