In this problem why is the easiest to substitute.
Just set the equations equal to each other because they both equal y
-x + 4 = 2x - 8
(You want to get all the x's to one side so add x to each side)
4 = 3x - 8
(next add 8 to both sides)
12 = 3x
(lastly divide 3 from both sides)
4 = x
You have got your x so now it is time to find that y just replace x to either of the two equations
y = 2(4) -8 or y = -(4) + 4
y = 8 - 8 y = 0
y = 0
Final Answer: y=0, x=4
The line y=7 is a horizontal line with a slope of 0.
Slope intercept form of
y=mx+b
would be
y-y1=m(x-x1)
m=0 and point of (-1,-10)
y-(-10)=0
y=-10
Answer:
(1a) 9.54e-07 (1b) 0.9437 (2) 
Step-by-step explanation:
We have n = 10 questions. For each question in the multiple choice exam, we can choose the correct answer with probability p = 0.25 or an incorrect answer with probability q = 0.75 (just by guessing). Besides is reasonable to believe that questions are independent. Let X be the random variable that represents the number of correct answers (just by guessing) observed during the n = 10 questions, so, X have a binomial distribution.
(a) The probability of getting a perfect score just by guessing is

(b) The probability of getting at least one question correct, just by guessing

2. Each RUID is 9-digits long, there are 10 digits, each of the nine positions for a digit of the RUID has 10 posibilities except the 4th and 5th positions which must be both 0. For the multiplication rule there can be
different RUIDS.
Answer:
Step-by-step explanation:
Looking at the diagram,
Line DT is parallel to line line BM, therefore, triangle DHT is similar to triangle BHM. This means that
DH/DB = TH/MH
DH = 15 + 6 = 21
TH = 9 + x
Therefore
(9 + x)/21 = 9/6
Cross multiplying, it becomes
6(9 + x) = 21 × 9 = 189
54 + 6x = 189
Subtracting 54 from the left hand side and the right hand side of the equation, it becomes
6x + 54 - 54 = 189 - 54
6x = 135
Dividing the left hand side and the right hand side of the equation by 6, it becomes
6x/6 = 135/6
x = 22.5