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3 years ago

Which expression is equivalent to the area of metal sheet required to make this square-shaped traffic sign?

1 answer:

4 0

The area of a square is $A = s^{2}$ , where s = length of a side of the square. You know the length of the square shaped traffic sign's side is s = 2x-1. Plug that value into the equation for the area of the square and foil:
 $A = s^{2} \\
A = (2x-1)^{2} \\
A = (2x-1)(2x-1)\\
A = 4x^{2} - 4x + 1$

The area of the square sign is D) $4x^{2} - 4x + 1$

You might be interested in

In which situation is the distance traveled proportional to time? A car moving in stop-and-go traffic A person biking on a trail

Sindrei [870]

For this case, what you must do is to see in which scenario the speed of keeping constant during a certain time.
"A person biking on a trail at 1212 miles per hour for 2020 minutes"
We observe that the distance in this case is proportional to the time and the constant of proportionality is the speed.
In other words:
d = v * t
Answer:
the distance traveled is proportional to time in:
"A person biking on a trail at 1212 miles per hour for 2020 minutes"

5 0

3 years ago

16x+14y=8 -63x-14y=133

artcher [175]

Answer:

(-3, 4)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination
Solving systems of equations by graphing

Step-by-step explanation:

Step 1: Define Systems

16x + 14y = 8

-63x - 14y = 133

Step 2: Solve for x

Elimination

Combine 2 equations: -47x = 141
Divide -47 on both sides: x = -3

Step 3: Solve for y

Define original equation: 16x + 14y = 8
Substitute in x: 16(-3) + 14y = 8
Evaluate multiplication: -48 + 14y = 8
Add 48 on both sides: 14y = 56
Divide 14 on both sides: y = 4

Step 4: Graph Systems

Check the solution set.

4 0

2 years ago

Solution of 1/5 m = -1

Delicious77 [7]

Answer:

m = -5

Step-by-step explanation:

1/5 m = -1

Multiply each side by 5

5*1/5 m = -1*5

m = -5

8 0

3 years ago

Read 2 more answers

The volume of a rectangular prism can be computed by using the formula V=lwh. Which equation is solved for w? A. w=v/lh B. w=lh/

gtnhenbr [62]

The answer to this is a

3 0

3 years ago

What is the measure of angle 1?

tatiyna

Answer:

27 degrees

Step-by-step explanation:

The easy way is by remembering the formula (a-b)/2=c, where a is the larger angle, and b is the smallest angle. (90-36)/2=27.

The longer, more drawn out answer goes as follows. See the image to understand the notation I use:

AOE + BOD + BOA + DOE = 360
AOE + BOD = 90 + 36 = 126
BOA + DOE = 360 - AOE - BOD = 234
Since the sum of a triangle's angles is 180, ODE = (180 - DOE) / 2
Likewise, OBA = (180 - BOA) / 2
Since CDE is 180, CDO = 180 - ODE = 180 - (180 - DOE) / 2
Likewise, CBA is 180, so CBO = 180 - OBA = 180 - (180 - BOA) / 2
The interior angles of the irregular polygon CBOD add up to 360, so CBO + CDO + BOD + BCD = 360.
Substituting what we already found, 180 - (180 - BOA)/2 + 180 - (180 - DOE)/2 + 36 + BCD = 360
Cleaning it all up, we get 180 + (BOA + DOE)/2 + 36 + BCD = 360
As we found in line 3, BOA + DOE = 234, so substituting that in, 180 + 117 + 36 + BCD = 360
Finally, solving for BCD (360 - 36 - 117 - 180) we get our answer, 27

Note: The long drawn out method shown above is a way to derive the formula for the secant theorem. You do not need to use this method every time. Just remember, large angle minus small angle, all divided by 2. That is it.

5 0

2 years ago