Answer:
The equation of required line is: 
Step-by-step explanation:
We need to write equation in the form Ax+By+C=0 of the line parallel to 
and through the point (-2,3)
First we need to find slope and y-intercept of the required line.
Using equation of line to find slope.
Since the given line and required lines are parallel there slope is same.
Writing equation in slope intercept form: 
where m is slope.
So, the slope m = 5/8
The slope of required line is 
Now finding y-intercept using slope and point(-2,3)
So, the equation of required line having slope and y-intercept 
So, The equation of required line is:
Answer:
x=3
Step-by-step explanation:
(11-3)+3x+1 = 5x+3
8+3x+1 = 5x+3
9+3x= 5x+3
6=2x
x=3
The z-score for 36,000 is (36,000 - 40,000) / (15,000 / √25) = -1.333
The z-score for 42,000 is (42,000 - 40,000) / (15,000 / √25) = 0.6667
P(36,000 < x < 42,000) = P(-1.3333 < z < 0.6667)
P(z < 0.6667) - P(z < -1.3333)
0.7475 - 0.0913
0.6562
Answer:
(9, - 2 )
Step-by-step explanation:
Given (- 3, 8 ) → (1, 10 )
That is the x- coordinate of the image is 4 more than the original.
The y- coordinate of the image is 2 more than the original, so
Translation rule is (x, y ) → (x + 4, y + 2 ), thus
(5, - 4 ) → (5 + 4, - 4 + 2 ) → (9, - 2 )
It's an equilateral triangle. The angles have measure 60°.
Therefore we have the equations:
6x + 6 = 60 <em>subtract 6 from both sides</em>
6x = 54 <em>divide both sides by 6</em>
x = 9
5y + 10 = 60 <em>subtract 10 from both sides</em>
5y = 50 <em>divide both sides by 5</em>
y = 10
