1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kaheart [24]
3 years ago
5

Each side of a square is lengthened by 2 inches. the area of the new, larger square is 121 square inches. find the length of a s

ide of the original square.
Mathematics
1 answer:
tiny-mole [99]3 years ago
8 0
Let the original side length be x.  Then (x+2)^(in)^2 = 121 sq in.

Thus, x^2 + 4x + 4 = 121;
          x^2 + 4x - 117 = 0   =   (x-13)(x+9) = 0.  Then x = 13 and x = -9.

We need to discard the negative result (-9).

The side of the original square is 9 inches.            (answer)

Check:  does (9+2)^2 = 121?  Does 11^2 = 121?  YES.
You might be interested in
A rock band is playing a concert at Music Hall 49, which has 2,500 seats. If 80% of the tickets were sold before the night of th
nasty-shy [4]

First you must see how many seats were bought. To do this you must make a proportion

\frac{part}{whole} = \frac{part}{whole}

80 is a percent and percent's are always taken out of the 100. This means that one proportion will have 80 as the part and 100 as the whole

We want to know what 80% of 2,500 is in order to find how many seats were sold before the show. This means 2,500 is the whole and the unknown (let's make this x) is the part.

Here is your proportion:

\frac{x}{2,500} =\frac{80}{100}

Now you must cross multiply

x*100 = 80*2,500

100x = 200,000

To isolate x divide 100 to both sides

100x/100 = 200,000/100

x = 2,000

This means that before the night of the concert 2,000 seats were bought.

We are still not done with this problem because we want to know how many seats are left the night of the concert. To find this simply subtract 2,000 from the number of original seating (2,500)

2,500 - 2,000 = 500

On the night of the concert there were 500 seats left.

Hope this helped!

~Just a girl in love with Shawn Mendes

5 0
3 years ago
Wich rule can be used to describe the pattern in the table?
zhannawk [14.2K]
The answer is A. v + 168 = t
3 0
3 years ago
Is 7 equal, less than, or greater than 24/4?
mixas84 [53]
Greater than since 24/4 is 6
7 0
3 years ago
Read 2 more answers
Sebastián afirma que – 14 está a la izquierda de – 10 en la recta numérica y por lo tanto es mayor, mientras que Alfredo afirma
Delicious77 [7]

Answer:

Alfredo está en lo correcto porque los números negativos se encuentran a la izquierda del cero y mientras más a la izquierda se encuentra un número negativo, más pequeño será y a medida que te desplazas hacia la derecha mayor será el número. Puedes representar los dos números en una recta numérica de la siguiente forma:

___________________________________________________________

-14   -13    -12    -11    -10    -9    -8    -7    -6    -5    -4    -3    -2    -1    0    1    2    3

Como se ve aquí, -14 se encuentra a la izquierda de -10 y esto significa que es menor. Por esto, Alfredo está en lo correcto al decir que -14 es menor.

3 0
3 years ago
The roots of an equation are x = -1 ± i. The equation is x2 + + 2 = 0.
OleMash [197]
Im pretty sure its x=-1
7 0
3 years ago
Other questions:
  • Meat costs $8.00 per pound at a store. <br> What is the slope?____<br> What is the y-intercept?___
    13·1 answer
  • Given f(x) = 5x-1....what is f(-2) ?
    7·2 answers
  • 2/3 of all your boks are fiction 1/6 of those are historical fiction. what fraction of all your books are historical fiction ​
    9·1 answer
  • When traveling to the airport, your checked baggage must be under 50 pounds. There are about 2.2 lbs. in one kilogram. What is t
    12·1 answer
  • Please help asap 35 pts
    11·1 answer
  • A TV has an original price of $499. If the price decreases by 10%, what is the new cost?
    8·2 answers
  • What is the first step in solving x-4=4
    10·1 answer
  • Helppp meeeeeee asappppppp
    12·1 answer
  • Y=^2+5x-7 find the vertex
    15·1 answer
  • Equation for the line that passes through (4,7) and is perpendicular to the line Y= 2/3x-1
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!