Answer: $2624
Step-by-step explanation:
Well since it’s square yards that means find the area first and since it’s a square and your given 1 side then it’s 8(8)=64. So there’s 64 square yards and since it’s $41 per square yard then multiply 64(41) which will give you $2624
So when you are trying to find the solution to the system of equations make sure that you have it where y= -4/5x-6 and y= -30 are written like this:
-30=-4/5x-6
And then solve for x:
Add 6 on both sides.
-24=-4/5x
Then multiply by the reciprocal of -4/5.
-5/4*-24=-5/4*-4/5x
x=30
But then you are gonna want to plug 30 in for x in y=-4/5x-6 to make sure that it is the same as y=-30.
Answer:
Part 1) 
Part 2) 
Part 3) 
Step-by-step explanation:
we know that
The equation of the line into slope intercept form is equal to

where
m is the slope
b is the y-intercept
Part 1) we have
(10,-3) (5,-2)
<u><em>Find the slope</em></u>
The formula to calculate the slope between two points is equal to
substitute
<em>Find the value of b</em>
we have

substitute in the equation
and solve for b



substitute

Part 2) we have
(6,2) (7,5)
<u><em>Find the slope</em></u>
The formula to calculate the slope between two points is equal to
substitute
<em>Find the value of b</em>
we have

substitute in the equation
and solve for b



substitute

Part 3) we have
(4,4) (-7,4)
<u><em>Find the slope</em></u>
The formula to calculate the slope between two points is equal to
substitute
This is a horizontal line (parallel to the x-axis)
The y-intercept b is equal to the y-coordinate
<em>therefore</em>
The equation of the line is

Answer:
Amplitude.
Step-by-step explanation:
Loudness of a sound wave is proportional to its amplitude of vibration.
Answer:
1) y=⅚x -2⅓
2) y=8/3x -5
Step-by-step explanation:
<u>Point-slope form:</u>
y=mx+c, where m is the gradient and c is the y-intercept.
Parallel lines have the same gradient.
Gradient of given line= 
Thus, m=⅚
Susbt. m=⅚ into the equation,
y= ⅚x +c
Since the line passes through the point (4, 1), (4, 1) must satisfy the equation. Thus, substitute (4, 1) into the equation to find c.
When x=4, y=1,
1= ⅚(4) +c

Thus the equation of the line is
.
The gradients of perpendicular lines= -1.
Gradient of given line= -⅜
-⅜(gradient of line)= -1
gradient of line
= -1 ÷ (-⅜)
= -1 ×(-8/3)
= 

When x=3, y=3,

Thus the equation of the line is
.