Answer:
B
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 )
Rearrange 2x + 3y = 4 into this form
Subtract 2x from both sides
3y = - 2x + 4 ( divide all terms by 3 )
y = - x + ← in slope- intercept form
with slope m = -
Given a line with slope m then the slope of a line perpendicular to it is
= - = - = , hence
y = x + c ← is the partial equation of the perpendicular line
To find c substitute (- 2, 15) into the partial equation
15 = - 3 + c ⇒ c = 15 + 3 = 18
y = x + 18 → B
I hope this helps... if not let me know and I'll try to help again :)
For one pair of socks you pay $12 plus $2 shipping.
Let's use x as the variable for how many pairs of socks someone might buy.
If someone buys 5 pairs of socks, they will pay $62. $12 * 5 + $2
So, we can write the expression as 12x + 2.
Answer:
First number = 4
Second number = 9
Step-by-step explanation:
If the first number = x, the second number = x + 5.
The calculation can be expressed as follows:
x + 2(x + 5) = 22
First, expand the bracket 2(x + 5):
x + 2x + 10 = 22
Combine like terms:
3x + 10 = 22
Subtract 10 from both sides:
3x = 12
Divide both sides by 3:
x = 4
First number = 4
Second number = 4 + 5 = 9