Answer:
Equation of line in slope-intercept form is: y = -8x-39
Step-by-step explanation:
Given points are:
(-4, -7) and (-6, 9)
The slope-intercept form is given by the equation

Here m is the slope of the line and b is the y-intercept.
m is found using the formula

Here
(x1,y1) = (-4-7)
(x2,y2) = (-6,9)
Putting the values in the formula

Putting slope in general equation

Putting (-6,9) in the equation

Putting the value of b we get

Hence,
Equation of line in slope-intercept form is: y = -8x-39
There is no sum for this geometric series. it diverges rather than converges due to the absolute value of the common ratio (r), which is -3, being 3. for a geometric series to have a sum (to converge), the absolute value of r must be less than 1.
(you find r by dividing a2/a1, a3/a2, etc.)
hope this helps
No of out comes =216
favorable outcome=3
<span>probability that 5 will not appear on the die=3/216</span>
Answer: The correct option is (A). 3.
Step-by-step explanation: We are given to find the scale factor of dilation from ΔABC to ΔDEF.
As shown in the figure, the lengths of the sides of ΔABC to ΔDEF are
AB = 5 units, BC = 4 units, CA = 3 units,
DE = 15 units, EF = 12 units, FD = 9 units.
We know that the scale factor is given by

Therefore, the scale factor of dilation from from ΔABC to ΔDEF is

Thus, the required scale factor is 3.
Option (A) is correct.