Answer:
y = -1
Step-by-step explanation:
((3 • (5y + 2)) - y) - 2 • (y - 3) = 0
Step 2 :
Equation at the end of step 2 :
(3 • (5y + 2) - y) - 2 • (y - 3) = 0
Step 3 :
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
12y + 12 = 12 • (y + 1)
Equation at the end of step 4 :
12 • (y + 1) = 0
Step 5 :
Equations which are never true :
5.1 Solve : 12 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
5.2 Solve : y+1 = 0
Subtract 1 from both sides of the equation :
y = -1
One solution was found :
y = -1
This expression is equal to 27 (30 + 6). 27*30 + 27*6 = 810 + 162, which is equal to 972.
45! remember multiple is what you multiply the number by, a factor is what you have to multiply to get the number
Answer:
Option b
Explanation:
To solve this problem you need to plug in the values provided and determine if they make the equation true.
Step 1 - Plug in the values for x and y given in option a. Determine if all values make the equation true.
y = 3x + 1
1 = 3(0) + 1
1 = 1 {true}
y = 3x + 1
9 = 3(2) + 1
9 = 7 {not true}
Since the second ordered pair does not make the equation true, this is not the correct answer.
Step 2 - Plug in the values for x and y given in option b. Determine if all values make the equation true.
y = 3x + 1
1 = 3(0) + 1
1 = 1 {true}
y = 3x + 1
7 = 3(2) + 1
7 = 7 {true}
y = 3x + 1
19 = 3(6) + 1
19 = 19 {true}
Since all of the ordered pairs given in Option b make the equation true, this is the correct answer. To double check, you can do the same process for option c to make sure it is not true.
Step 3 - (Optional step) Plug in the values for x and y given in option c. Determine if all values make the equation true.
y = 3x + 1
-1 = 3(0) + 1
-1 = 1 {not true}
Since the first ordered pair given does not make the equation true, this is not the correct answer.
Answer:
To apply the Perpendicular Bisector Theorem, the land surveyor need to identify;
The midpoint along the line connecting the two stakes
Step-by-step explanation:
The distance between the two stakes placed by the land surveyor = 500 ft.
The distance between the third stake on the perpendicular line and the line between the two stakes = 100 ft.
The perpendicular bisector theorem states that points on the perpendicular bisector to a line are of equal length to both ends of the line to which is perpendicular to
Given that all points on a perpendicular bisector are equidistant from the two end points of the line from which it is constructed, the midpoint on the line from which the perpendicular bisector is constructed is equidistant from the end points of the line and is therefore a point on the perpendicular bisector
Therefore;
The land surveyor need to identify the midpoint along the line connecting the two stakes in order to create a perpendicular bisector from which the 100 ft. location of the third stake such that it is equidistant from the other two stakes.
