X^2 - x - 42 = x^2 - 6x + 7x - 42 = x( x - 6) + 7(x - 6) = (x-6)(x+7);
The correct answer is a.
Answer:
-6 and 1
Step-by-step explanation:
If you separate the different powers (^), you have -m^3 - 5m^3 and -m^2 + 2m^2.
-m^3 - 5m^3 = -6m^3
-m^2 + 2m^2 = m^2 or 1m^2
Answer:
H: Plots 1 & 2
Step-by-step explanation:
4.4
Step-by-step explanation:
X is inversely proportional to y, so x = k/y where k is just a constant.
X is directly proportional to z squared, so x = kz^2 where k is a constant
Here, The second relationship doesn't even matter.
Plug the values for x and y into the first equation and solve for k.
5.5=k/4
k=5.5*4
k=22
Now plug k and the second y back in.
x=22/5
x=4.4
Answer:
The distance is: 
Step-by-step explanation:
The distance of point E to the PQR plane it is the hight (vertical) of piramid PRQE
If point P is located in the middle of line EH, point Q is in the middle of line EF, and point R is in the middle of line AE than:
EP = EQ = ER = 0.5EF = 3 cm and m∠REQ = m∠QEP = m∠REP = 90° so triangles RQE, QPE and PRE are congruent.
RQ = QP = PR so triangle PQR is equilateral and from Pythagorean theorem (for ΔRQE):

Then: 
and: 
Therefore from Pythagorean theorem (for ΔERK):
