Answer:
width 9'' length 9''
Step-by-step explanation:
2 " is cut off from both sides
so the base of the box will be a square
area * height = volume of box
side = x
height =2
2x^2=162
x^2=81
x=9 inches the side of the box
Volume =162
V=area*height V= 81*2= 162
Answer:
y = -1/2x + 2
Step-by-step explanation:
y = 2x - 3. The slope here is 2. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal, just flip the slope and change the sign.
slope = 2 or 2/1.....flip it.....1/2....change the sign...-1/2. So our perpendicular line will have a slope of -1/2.
y = mx + b
slope(m) = - 1/2
(2,1)....x = 2 and y = 1
now we sub and find b, the y intercept
1 = -1/2(2) + b
1 = -1 + b
1 + 1 = b
2 = b
so ur equation is : y = -1/2x + 2 <===
and u can check it with ur points....(2,1)
y = 2x - 3
1 = 2(2) - 3
1 = 4 - 3
1 = 1 (yep...it checks out)
Answer:

Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form:
where m is the slope (also called the gradient) and b is the y-intercept (the value of y when x is 0)
<u>1) Plug the gradient into the equation (b)</u>

We're given that the gradient of the line is 4. Plug this into
as m:

<u>2) Determine the y-intercept (b)</u>

Plug in the given point (1,10) as (x,y) and solve for b

Subtract 4 from both sides to isolate b

Therefore, the y-intercept of the line is 6. Plug this back into
as b:

I hope this helps!
A rational number is a number that can be written into a fraction. pi, some square roots, e, etc., are irrational numbers(numbers that cannot be written into a fraction).
Answer:
28+14.50+524.50+13.25= 580.25
Step-by-step explanation:
Add it all together.