Answer:
The equation of the line would be y = -5/2x - 1
Step-by-step explanation:
In order to find the equation of the line, we first need to find the slope of the original line. We can do that by solving for y.
5x + 2y = 12
2y = -5x + 12
y = -5/2x + 6
Now that we have a slope of -5/2, we know the new slope will be the same since parallel lines have the same slope. So we can use it along with the point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 4 = -5/2(x + 2)
y - 4 = -5/2x - 5
y = -5/2x - 1
<u>Given</u>:
The given figure shows the intersection of the two lines.
The angles formed by the intersection of the two lines are (3x - 8)° and (2x + 12)°
We need to determine the equation to solve for x and to find the value of x.
<u>Equation to solve for x:</u>
Since, the two angles (3x - 8)° and (2x + 12)° are vertically opposite angles and the vertical angles are always equal.
Hence, we have;
Thus, the equation to solve for x is
<u>Value of x:</u>
The value of x can be determined by solving the equation
Thus, we have;
Thus, the value of x is 20.
[Edit:}
Okay! So after you have 15+(21)÷3, you have to remember PEMDAS.
PEMDAS is the order in which you solve equations.
1. Parentheses: you solve everything in the parentheses first, all while following the rules of PEMDAS
2. Exponents: after you solve the things in the parentheses, you do the exponents.
3. Then you do Multiplication or Division, solving in the order from left to right.
4. After, you do Addition or Subtraction, solving in the order from left to right.
So using PEMDAS, we'll solve 15+(21)÷3.
We do division before addition, so 21/3 is 7.
Then you add 15 to 7 and get 22 as your final answer.
Hope this helps!
The choices are:
A)
2x - 15 ≤ 4y
B)
2x - 15 ≥ 4y
C)
15 - 2x ≤ 4y
D)
<span>15 - 2x ≥ 4y
</span>
Therefore, the best and most correct answer among the choices provided by the question is the fourth choice "<span>15 - 2x ≥ 4y". </span>I hope my answer has come to your help. God bless and have a nice day ahead!
Answer:
4.25 i think
Step-by-step explanation:
sorry i have not done these in a while it might be wrong
