Answer: 5y + 4x = - 10
Step-by-step explanation:
Two lines are said to be perpendicular if the product of their gradients = -1.
If the gradient of the first line is 
and the gradient of the second line is 
, if the lines are perpendicular, them
x = -1 , that is
= 
The equation of the line given is 5x - 4y = -3 , we need to write this equation in slope - intercept form in order to find the slope.
The equation in slope -intercept form is given as :
y =mx + c , where m is the slope and c is the y - intercept.
Writing the equation in this form , we have
5x - 4y = + 3
4y = 5x -+3
y = 5x/4 + 3/4
comparing with the equation y = mx + c , then = 5/4
Which means that = -4/5 and the line passes through the point ( -5 , 2 ).
Using the equation of line in slope - point form to find the equation of the line;
y - 
= m ( x - )
y - 2 = -4/5 ( x +5)
5(y - 2 ) = -4 ( x + 5 )
5y - 10 = -4x - 20
5y + 4x = - 10
<h2><em><u>
Answer:</u></em></h2>
Total Surface Area = 375 
<h2><em><u>
Step-by-step explanation:</u></em></h2>
You need to find the area of the ceiling, floor, the two rectangle walls and the two trapezoid walls
<u>Area of the ceiling:</u>
c = length * width
c = 9*6.5 = 58.5
<u>Area of the 2 rectangle walls:</u>
w = 2(length * width)
w = 2(9 * 8)
w = 2(72)
w = 144
<u>Area of floor:</u>
f = 9 * 7.5
f = 67.5
<u>Area of the two trapezoids:</u>
a = 6.5
b = 7.5
h = 7.5
Total Surface Area = c + w + f + t
Total Surface Area = 58.5 + 144 + 67.5 + 105
Total Surface Area = 375
The answer is <span>y=0.5x+3
</span><span>There are 3 inches of snow on the ground: y = 3
</span><span>When it begins to snow 0.5 inches per hour: y = 0.5x
</span>There are 3 inches of snow on the ground when it begins to snow 0.5 inches per hour: y = 0.5x + 3<span>
</span>
Answer:
ax+b=r
ax=r-b
x=(r-b)/a
Step-by-step explanation:
