The given trinomial can be factored using factorization as
x²+19x+84
=x²+12x+7x+84
=x(x+12)+7(x+12)
=(x+12)(x+7)
Thus x+12 and x+7 are the factors of the given trinomial. From these we can see x+12 is listed in option A.
So the answer to this question is Option A
Answer:
(-5, -8)
Step-by-step explanation:
Answer:
(a) 0.6
(b) 0.4
Step-by-step explanation:
If I am reading the little table right, You have made 9 shots, and have missed 6 of them. Therefore, in total, you have made 
shots.
The definition of probability is the number of events of a desired outcome divided by the total number of outcomes. Since you wish to make a shot for part a, the number of desired outcomes thus far is 9, out of 15 total shots. Thus,
making a shot
Since making a shot and not making a shot are mutually exclusive events, and the only two events that could occur when shooting a basket, the probability of not making a shot and the probability of making a shot are all of the possible outcomes, and is thus equal to 1.
making a shot
missing a shot) 
missing a shot
making a shot
missing a shot
QED
Answer:
1).
A. Reflection across the y axis.
2).
A. Clockwise rotation about point B and a translation 20 units down.
Remark
I think you want us to do both 3 and 4
Three
QR is 4 points going left from the y axis + 2 points going right from the y axis.
QR = 6 units long.
RT is 4 units above the x axis and 3 units below the x axis
RT = 7 units long
TS = 3 units. For this one you just go from T to S. The graph really helps you. You just need to count.
Problem 4
You need to find the area of the combined figure. You could do it as a trapezoid, which might be the easiest way. I'll do that first.
Area = (b1 + b2)*h/2
Givens
B1 = QR = 6
B2 = UT + TS = 6 + 3 = 9
h = RT = 7
Area
Area = (6 + 9)*7/2
Area = 15 * 7 / 2
Area = 52.5
Comment
You could break this up into a rectangle + a triangle
Find the area of QRTU and add the Area of triangle RTS
<em>Area of the rectangle </em>= L * W
L = RT = 7
W = QR = 6
Area = 7 *6 = 42
<em>Area of the triangle</em> = 1/2 * B * H
B = TS = 3
H = RT =7
Area = 1/2 * 3 * 7
Area = 1/2 * 21
Area = 10.5
Total Area = 42 + 10.5 = 52.5 Both answers agree.
