Answer:
a, (5;1) R = 
b, (-2; 4) R = 
c, (4;7) R = 7
d, (-3; -6) R = 7
Step-by-step explanation:
Answer: The answer is (C) (4,1).
Step-by-step explanation: Given points are A(0,3), B(-1,4) and C(2,-1). Obviously, these points will form a triangle. We need to find the co-ordinates of the point B', which is formed after rotating the figure counter-clockwise 90 degrees.
The point B(-1,4) lies in the second quadrant. After rotating 90 degrees counter-clockwise, the this point will lie in the first quadrant. So, both the x-coordinate and y-coordinate will be positive. Also, the two coordinates will exchange. Please see the attached figure.
Thus, the coordinates of point B' are (4,1).
Hence, (C) is the correct option.
Answer:
(x+4) (x+6)
Step-by-step explanation:
use backwards foil
two numbers that add up to 10 and multiply to 24 are 6 and 4
both signs are positive so you will be adding
<span>The frog population at a lake doubles every week. The population can be modeled by f(x) = 15(2)x and f(6) = 960. What does the 2 represent?
The population after six weeks
The starting population
The rate the population increases.
The number of weeks that have passed.</span>
Answer:
y - 7 = 3(x + 3) and y = 3x + 16
Step-by-step explanation:
Find the slope first:
As we go from (–3, 7) to (1, –5), x increases by 4 and y increases by 12. Hence, the slope is m = rise / run = 12 / 4, or m = 3.
Next, modify the point-slope form y - k = m(x - h) by inserting the given info:
y - 7 = 3(x -[-3]), or
y - 7 = 3(x + 3)
Note: (h, k) represents the given point, which I have chosen to be (-3, 7).
Next, convert this result to slope-intercept form. Begin by solving this equation for y: y = 7 = 3x + 9, or:
y = 3x + 16
