Answer:
y-4=-2(x+1)
Step-by-step explanation:
y-y1=m(x-x1)
m=(y2-y1)/(x2-x1)
m=(-4-4)/(3-(-1))
m=-8/(3+1)
m=-8/4
m=-2
y-4=-2(x-(-1))
y-4=-2(x+1)
What question do you need help with? You have to include that!
So what they are trying to say is that they both have the same y-intercept. Easy!
Make y the subject:
5x - 2y = 3
2y = 5x - 3
y = 2.5x - 1.5
The y-intercept is -1.5.
Make y the subject:
x + y = a
y = -x + a
Therefore, a must be -1.5 !
Answer:
Step-by-step explanation:
<u>Given triangle ACD</u>
- AB = BC
- CD = 2x + 6
- AB = x + 5
- BC = 2x - 3
- P = ?
<u>Perimeter is sum of the side lengths:</u>
AD = CD because D is vertex and the triangle is isosceles
AC = AB + BC because B is midpoint of AC
<u>Then P is:</u>
- P = 2(2x + 6) + (x + 5) + (2x -3) = 4x + 12 + x + 5 + 2x - 3 = 7x + 14
<u>Find the value of x from the AB = BC:</u>
- x + 5 = 2x - 3
- 2x - x = 5 + 3
- x = 8
<u>Then find the value of P:</u>
- P = 7*8 + 14 = 56 + 14 = 70 units
Solution
The table below is the required sample space of the to fair die
From the above table
The sample space contain 36 outcomes
Event A: The sum is greater than 9
we will look at the table and count all the elements that are greater than 9
There are 6 elements (they are 10, 10, 10, 11, 11, 12 from the table)
The probability for event A will be
P(A) = 1/6
Event B: The sum is an even number.
We will look at the table and count the number of elements that are even
There are 18 elements (notice that there are 3 even number on each of the 6 rows of the table)
The probability for event B will be
p(B) = 1/2
