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3 years ago

How to you express area of each square as monomial

1 answer:

6 0

The area of a rectangle (including squares) is defined as length times width or the equation:

A=l×w

However a square has the special property where length equals width which is represented by this equation:

l=w

So replace one of the variables with the other to get this new equation:

l×w=A
(w)×w=A
w^2=A

Often times for square the variable is represented as an s so:

s^2

You might be interested in

James is placing an order for four for his bakery. The company he purchases from charges $25 for the first bag and $5 for each a

VARVARA [1.3K]

Answer:

A: CxB= Total

A: (4x19)x5+25=$405

Step-by-step explanation:

First you would find the total of all of the 4 bags. Witch would be 4x19=76. Then you would multiply that by shipping cost 76x5=380. Lastly you would add the $25 380+$25= 405. Think that is right. Hope this helps!

4 0

3 years ago

John made a triangle with all three sides the same length, 1 \frac{2}{3} ft. What is the perimeter of the triangle?

UNO [17]

Answer:

5 ft

Step-by-step explanation:

If all sides are of the same length, we can multiply the value of one side by 3, because a triangle has three sides (and the perimeter is all sides added together), to find the perimeter.

$1\frac{2}{3}$ × 3

$1\frac{2}{3}$ can be rewritten as $\frac{5}{3}$ , so:

$\frac{5}{3}$ × $\frac{3}{1}$

$= \frac{15}{3}$

The numerator & denominator share a common factor of 3, so:

5 ft is the final answer/perimeter.

hope this helps!

7 0

2 years ago

The exterior angles of triangle UVW are X, Y, and Z, and they are adjacent to U, V, and W, respectively. If mV is 91°, and mZ is

makvit [3.9K]

The measure of angle U is 29 degrees. Triangles have general properties which include, all interior angles add up to 180 degrees, all exterior angles add up to 360 degrees and adjacent interior and exterior angles add up to 180 degrees. In the given, exterior angle Z is 120, while its adjacent interior angle is unknown. To get W, subtract 120 from 180 degrees. The value of W is 60. With 2 known interior angles, subtract 60 and 91 from 180 to get the measure of angle U.

5 0

3 years ago

Which equation represents a line which is perpendicular to the line y = -x + 8?

natima [27]

Two lines are perpendicular between each other if their slopes fulfills the following property

$m_1m_2=-1$

where m1 and m2 represents the slopes of line 1 an 2, respectively.

To find the slope of a line we can write it in the form slope-intercept form

$y=mx+b$

Our original line is

$y=-\frac{1}{8}x+8$

Then its slope is

$m_1=-\frac{1}{8}$

Now we have to find the slope of the second line. Using the first property,

$\begin{gathered} m_1m_2=-1_{} \\ -\frac{1}{8}m_2=-1_{} \\ m_2=(-1)(-8) \\ m_2=8 \end{gathered}$

Then the second line has to have a slope of 8.

The options given to us are:

$\begin{gathered} x+8y=8 \\ x-8y=-56 \\ 8x+y=5 \\ y-8x=4 \end{gathered}$

Then we have to determine which of these options have a slope of 8. To do that we write them in the slope-intercept form:

$\begin{gathered} x+8y=8\rightarrow y=-\frac{1}{8}x+1 \\ x-8y=-56\rightarrow y=\frac{1}{8}x+7 \\ 8x+y=5\rightarrow y=-8x+5 \\ y-8x=4\rightarrow y=8x+4 \end{gathered}$

Once we have the options in the right form, we note that the only one of them that has a slope of 8 is the last one.

Then the line perpendicular to the original one is

$y-8x=4$

8 0

1 year ago

A hotel rents 210 rooms at a rate of $ 60 per day. For each $ 2 increase in the rate, three fewer rooms are rented. Find the roo

lidiya [134]

Answer:

r=$14,400

The hotel should charge $120

Step-by-step explanation:

Revenue (r)= p * n

where,

p = price per item

n = number of items sold

A change in price leads to a change in number sold

A variable to measure the change in p and n needs to be introduced

Let the variable=x

Such that

p + x means a one dollar price increase

p - x means a one dollar price decrease

n + x means a one item number-sold increase

n - x means a one item number-sold decrease

for each $2 price increase (p + 2x) there are 3 fewer rooms are rented (n-3x)

know that at $60 per room, the hotel rents 210 rooms

r = (60 + 2x) * (210 - 3x)

=12,600-180x+420x-6x^2

=12,600+240x-6x^2

r=2100+40x-x^2

= -x^2 +40x+2100=0

Solve the quadratic equation

x= -b +or- √b^2-4ac / 2a

a= -1

b=40

c=2100

x= -b +or- √b^2-4ac / 2a

= -40 +or- √(40)^2 - (4)(-1)(2100) / (2)(-1)

= -40 +or- √1600-(-8400) / -2

= -40 +or- √ 1600+8400 / -2

= -40 +or- √10,000 / -2

= -40 +or- 100 / -2

x= -40+100/-2 OR -40-100/-2

=60/-2 OR -140/-2

= -30 OR 70

x=70

The quadratic equation has a maximum at x=70

p+2x

=60+2(30)

=60+60

=$120

r= (60 + 2x) * (210 - 3x)

={60+2(30)}*{(210-3(30)}

r=(60+60)*(210-90)

=120*120

=$14,400

7 0

3 years ago