Answer:
y = 
x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = and c = - 3 , then
y = x - 3 ← equation of line
Answer:
< 1 = 125 degrees
< 2 = 55 degrees
< 3 = 125 degrees
< 4 = 55 degrees
< 5 = 125 degrees
< 6 = 55 degrees
< 7 = 125 degrees (given)
< 8 = 55 degrees
Step-by-step explanation:
1 and 3 are equal because they are vertical angles, therefore proving their congruence.
7 and 1 are equal because they're alternate exterior angles, which are congruent.
2 and 4 are vertical, which is congruent.
5 and 7 are vertical.
6 and 8 are vertical.
So, do get the answer, you have to find out who got more of the votes, either Carl Green or Maria Lewis. Once you have found out who has more votes, you take the bigger number and subtract the smaller number from it. If you get a negative number, or a number below 0, you have unfortunately have the wrong answer for the problem
Answer:
- The system has infinitely many solutions when a = 3/4 and b = 1/2
<h3>Given </h3>
System of linear equations
<h3>To find </h3>
- Values of a and b that leads to infinitely many solutions
<h3>Solution</h3>
The linear system of equations has infinitely many solutions when lines overlap, so both have same slope and y-intercept.
We can solve it in two different ways
1. Note that when the first equation is multiplied by 4, it has same value of constant as the second equation, which is 64.
- 4ax + 4by = 64
- 3x + 2y = 64
When compared it gives us:
- 4a = 3 ⇒ a = 3/4
- 4b = 2 ⇒ b = 2/4 = 1/2
2. Convert both equations from standard to slope-intercept form and compare:
- ax + by = 16
- by = -ax + 16
- y = - (a/b)x + 16/b
- 3x + 2y = 64
- 2y = - 3x + 64
- y = - (3/2)x + 32
Work out values of a and b:
- 16/b = 32 ⇒ b = 16/32 ⇒ b = 1/2
- - (a/b) = - 3/2 ⇒ a/b = 3/2 ⇒ a = 3b/2 ⇒ a = 3(1/2)/2 ⇒ a = 3/4
