Answer:

Step-by-step explanation:
defition of slope(m) of a line:

A=(-1,-5)=(Xa,Ya) then Xa= -1 and Ya= -5
B=(3,-3)=(Xb,Yb) then Xb=3 and Yb= -3

9514 1404 393
Answer:
25 +0i
Step-by-step explanation:
The conjugate of a complex number is that number with the sign of the imaginary part reversed.
For z = -3+4i, its conjugate z* is -3-4i. The product of z and z* is ...
(-3 +4i)(-3 -4i) = -3(-3 -4i) +4i(-3 -4i)
= 9 +12i -12i -16i² = 9 +16 = 25
The real part of the product is 25; the imaginary part is 0.
(-3 +4i)(-3 -4i) = 25 +0i
_____
You may have noticed that (z)(z*) = |z|², the sum of the squares of the real and imaginary parts. It is always a non-negative real number.
9514 1404 393
Answer:
78.71 mph
Step-by-step explanation:
You're looking for the solution to ...
d = 88
0.0015r^2 +r = 88
0.0015r^2 +r -88 = 0
Using the quadratic formula*, we find ...
r = (-1 +√(1² -4(0.0015)(-88)))/(2×0.0015)
r = (-1 +√1.528)/0.003 = 0.236123/0.003 = 78.7077
The speed of the car was about 78.71 mph.
_____
* The quadratic formula will also give a negative answer of about -745 mph, which is not relevant to the situation.
Answer:

Step-by-step explanation:
If A = (-3,-1) and B = (4,4), the slope of AB is

Two perpendicular lines have slopes that have product of -1:

The equation of the line BC with slope -1.4 and passing through the point B(4,4) is

Answer: negative 34
Step-by-step explanation:
just take away 14 to 48 and put a negative infront