Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept)
given y + 2 = - 
x + 
Subtract 2 from both sides
y = - x + - 
y = - x - 
← in slope- intercept form
Answer:
d = 12
Step-by-step explanation:
d - 5= 7
( d - 5 ) + 5 = 7 + 5
d - 5 + 5 = 12
d = 12
Answer:
k = -9.
Step-by-step explanation:
As the triangle is right-angled at Q, by Pythagoras:
PR^2 = PQ^2 + RQ^2
So, substituting the given data and using the distance formula between 2 points:
(7 - 1)^2 + (k - 4)^2 = (-4-4)^2 + (-3-1)^2 + (7 - (-3))^2 + (k - (-4))^2
36 + (k - 4)^2 = 64 + 16 + 100 + ( k + 4)^2
(k - 4)^2 - (k + 4)^2 = 180 - 36
k^2 - 8k + 16 - (k^2 + 8k + 16) = 144
-16k = 144
k = -9.
7(6) x 7(5) = 7(6+5) = 7(11) is the simplified answer.
Thank you!
