Perimeter = (2 × Length) + (2 × Width)
If the length is dependent on the width (because the length is 10 more than the width), we can say that L = W + 10.
To find the answer to the Peri, we have to find out what the W is first.
184 = 2(W + 10) + 2W
184 = 2W + 20 + 2W
184 = 4W + 20
184 - 20 = 4W = 164
164 ÷ 4 = W
41 = W
We have found out width. Our length is W + 10, so L = 41 + 10 = 51
W = 41 and L = 51
Answer:
I asked my teacher is she could help me and she said it was -7+10=3. Step-by-step explanation:
Classic Algebra and its unnecessarily complicated sentence structure. As you may have probably known, Algebra has its own "vocabulary set".
"the length of a rectangle exceeds its width by 6 inches" -> length is 6 in. longer than width -> l= w + 6
Since we're solving for the length and width, let's give them each variables.
length = l = w+6
width = w
The next bit of information is "the area is 40 square inches"
Applying the formula for the area of a rectangle we can set up:
l x w = 40
replace "l", or length, with it's alternate value.
(w+6) x w = 40
distribute
+ 6w = 40
subtract 40 from both sides
+ 6w - 40 = 0
factor
(w - 4)(w + 10) = 0
solve for w
w= 4, or -10
So great, we have 2 values; which one do we choose? Since this problem is referring to lengths and inches, we will have to choose the positive value. There is not such thing as a negative distance in the real world.
We now have half of the problem solved: width. Now we just need to find the length which we can do but substituting it back into the original alternate value of l.
l = w + 6
w=4
l = 4 + 6 = 10
The length is 10 in. and the width is 4 in. Hope this helps!
Answer:
Beth is incorrect.
It is a translate to the right 5 units and up 1 unit.
When we solve x-5=0 we get x=5, not x=-5 which says we go right 5 units.
When we plug in 5 into the expression for g, we get 1 which means go up 1 as well.
Step-by-step explanation:
So
is actually a translated 5 units and up 1 unit. Why?
Let's take there point (0,0) and figure out what the new point is on the translated graph.
We need to figure out when the inside of our square root for g is 0. This is where the graph of g will start at and continue on.
x-5=0 when x=5 ( I added 5 on both sides).
So let's plug in 5 to see what the new point is.




So the new graph, g, starts at the point (5,1).
Answer:
242.76m^2
Step-by-step explanation:
Given data
Height=18m
Volume=4,374m^3
We know that the expression for the volume of a cylinder is
V=πr^2h
substitute
4374=3.142*r^2*18
4374=56.556*r^2
4374/56.556=r^2
77.339=r^2
r=√77.339
r= 8.79m
But the area of a circle is expressed as
A= πr^2
A=3.142*8.79^2
A=3.142*77.2641
A=242.76m^2
Hence the area of the base is 242.76m^2