Answer:
d = 14/5
Step-by-step explanation:
The point (-4,2) means that;
At x = -4, y = 2
Now general form of a linear equation is;
Ax + By + C = 0
We are given;
4y = 3x + 6
Rearranging to the form of a linear equation gives;
3x - 4y + 6 = 0
Thus, A = 3, B = -4 and C = 6
Thus, at point (-4,2), distance between them is;
d = (3(-4) - 4(2) + 6)/√(3² + (-4)²)
d = -14/5
We will take the absolute value.
Thus; d = 14/5
$8.75 because 26.25 divided by 3 equals $8.75.
hope this helps
Answer:
Step-by-step explanation:
I think it is helpful to set this up as a proportion as it is the easiest way in my opinion.
1st step: 396/18 and x/11
This is the way you set up the proportion.
2nd Step: You would have to multiply 396 and 11 then divide the value by 18.
396x11 = 4,356
4,356/18 = 242
x=242 Dollars
Answer: 242 dollars
Therefore, Alan would make 242$ while working at the same rate for 11 hours.
Correct answer A) x+4y=8 , represents an equation of a line that has an x-intercept of 8 and a y-intercept of 2 .
<u>Step-by-step explanation:</u>
Here we have to identify Which of the following represents an equation of a line that has an x-intercept of 8 and a y-intercept of 2 .Let's find out:
A) x+4y=8
Let's check if line has an x-intercept of 8 i.e. at y=0 value of x is 8 :
⇒ 
⇒ 
⇒ 
Let's check if line has an y-intercept of 2 i.e. at x=0 value of y is 2 :
⇒ 
⇒ 
⇒ 
Hence , Correct option!
B) x=(-.25y+2)
Let's check if line has an x-intercept of 8 i.e. at y=0 value of x is 8 :
⇒ 
⇒ 
⇒ 
Incorrect option!
C) 4x+y=2
Let's check if line has an x-intercept of 8 i.e. at y=0 value of x is 8 :
⇒ 
⇒ 
⇒ 
Incorrect option!
D) y=-4x+8
Let's check if line has an x-intercept of 8 i.e. at y=0 value of x is 8 :
⇒ 
⇒ 
⇒ 
Incorrect option!