Answer:
y = - 
x
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 8x - 4y = 12 into this form
Subtract 4x from both sides
- 4y = - 8x + 12 ( divide all terms by - 4 )
y = 2x - 3 ← in slope- intercept form
with slope m = 2
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= -
Since the line passes through the origin then c = 0
y = - x ← equation of perpendicular line
The correct question is
The raised vegetable garden in Susan's yard is in the shape of a rectangular prism with a volume of 48 cubic feet and a height of 3/4 foot. <span>The base of the rectangular prism is not a square and the width is greater than 2 feet. What is the length and width of the rectangular prism?
let
x-------> the length of the base of the rectangular prism
</span>y-------> the width of the base of the rectangular prism
<span>
we know that
volume of the prism=area of the base*height
volume=48 ft</span>³
<span>height of the prism=3/4 ft
area of the base=volume/height--------> 48/(3/4)---> 48*4/3----> 64 ft</span>²
<span>
area of the base=64 ft</span>²
<span>area of the base=x*y
64=x*y--------> equation 1
y=x+2--------> equation 2
substitute equation 2 in equation 1
64=x*[x+2]-----> 64=x</span>²+2x------> x²+2x-64=0
<span>
using a graph tool----> to resolve the second order equation
see the attached figure
the solution is
x=7.062 ft
y=x+2-----> y=7.062+2-----> y=9.062 ft
the answer is</span>
the length of the base of the rectangular prism is 7.062 ftthe width of the base of the rectangular prism is 9.062 ft<span>
</span>
Answer: The answer is 4.63✨
Step-by-step explanation: You have to round to 4.625 to the nearest hundredth consider the thousandths’ value of 4.625, which is 5 and equal or more than 5. Therefore, the hundredths value of 4.625 increases by 1 to 3.
4.625 rounded to the nearest hundredth = 4.63
Answer:
3.05 yards
Step-by-step explanation:
Arc length= 2π(r)(Θ/360)
given: 7 yards is diameter, 50 degrees
radius= diameter/2 = 3.5
plug in
2π(3.5)(50/360) = 3.05 yards
Answer: 5.3 Hours
Step-by-step explanation: 140 mi there at 56 mi per hour would be 2.5 hours. Then back 140 mi at 50 mi/h would be 2.8. 2.5 plus a 2.8 is 5.3 hours
