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
madreJ [45]
3 years ago
10

Each side of the smaller square in the figure below is n inches long, and each side of the larger square is p inches longer than

a side of the smaller square. The area of the larger square is how many square inches greater than the area of the smaller square?

Mathematics
1 answer:
lana66690 [7]3 years ago
8 0

Answer:

2np + p²

Step-by-step explanation:

The general formula for the area of a square is A = s², where s = the length of one side of the square.  In the case of the smaller square the area would be: n x n = n².  Since the side of the larger square is 'p' inches longer, the length of one side is 'n + p'.  To find the area of the larger square, we have to take the length x length or (n +p)².

Using FOIL (forward, outside, inside, last):

(n + p)(n+p) = n² + 2np + p²

Since the area of the first triangle is n², we can subtract this amount from the area of the larger square to find out how many square inches greater the larger square area is.

n² + 2np + p² - n² = 2np + p²


You might be interested in
What is the measure of each exterior angle of a regular polygon with 12 sides?
Vadim26 [7]
A polygon<span> has as many interior </span>angles<span> as sides. An equilateral triangle has three equal 60 </span>degree angles<span>. The </span>sum<span> of the </span>angles<span> of this and any triangle is </span>180 degrees<span>.The </span>sum<span> of the four interior </span>angles<span> of a square is 360 </span>degrees<span>, which is the same for any quadrilateral.</span>
8 0
3 years ago
Un padre tiene actualmente cuatro veces la edad de su hijo. Cuando pasen 5 años, su edad será solo tres veces superior. ¿Qué eda
julsineya [31]

Answer:

I. Hijo, h = 10 años

II. Padre, P = 40 años

Step-by-step explanation:

  • Sea la edad del padre P.
  • Sea la edad del hijo h.

Traduciendo el problema verbal a una expresión algebraica, tenemos;

P = 4h .....ecuación 1.

P + 5 = 3(h + 5) ........ecuación 2.

Simplificando aún más, tenemos;

P + 5 = 3h + 15

P = 3h + 15 - 5

F = 3h + 10 ......ecuación 3.

Sustituyendo la ecuación 1 en la ecuación 3;

4h = 3h + 10

4h - 3h = 10

<em>h = 10 años </em>

A continuación, encontraríamos la edad del padre;

P = 4h

P = 4 * 10

<em>P = 40 años</em>

4 0
3 years ago
Help please! What is 438 x 934? I'm timed (gc for the school peeps sending this to them)
KatRina [158]

Answer:

438 x 934=409092

Step-by-step explanation:

I hope this helps.

3 0
3 years ago
I need help on answering this question.​
-Dominant- [34]

Answer:

The value of m is 3 because (5^4)^3 = 244140625 and 5^12 = 244140625 also, this means they are both equal to each other. Another way of getting the correct answer is just seeing what times 4 will get you 12, as you can see

3 x 4 = 12.

So yea the answer is M = 3.

Step-by-step explanation:

5 0
3 years ago
50 points and brainist help!
Vedmedyk [2.9K]

Answer:

x=20 and y=100

Step-by-step explanation:

Using vertical angles, angle 1 and 3 equal each other. Therefore, x=80/4. Then, by using the sum of angle 1 and 3, 160, and using vertical angles again, we can find angle 2, which is (360-160)/2.

6 0
3 years ago
Read 2 more answers
Other questions:
  • Riley worked 5 1/4 hours on Monday 3 3/8 hours on Tuesday and 2 5/6 hours on Wednesday he rounded the hours to five 3 and 2 befo
    5·2 answers
  • Which factorization is equivalent to 4y2 − 17y + 15? A) (y − 3)(4y + 5) B) (y + 3)(4y − 5) C) (y − 3)(4y − 5) D) (4y − 3)(y − 5)
    6·1 answer
  • Consider the rectangle with width 33 in and length 39 in, write a ratio of the width to length.
    13·1 answer
  • What do you do when adding and subtracting fractions?01
    5·2 answers
  • How do you graph 2 3/7 on the number line ?
    7·1 answer
  • Given that QN = QM, find NQM.<br><br> A. 40°<br><br> B. 80°<br><br> C. 100°<br><br> D. 140°
    15·2 answers
  • 53. A right triangle has a hypotenuse measuring 15 inches and one leg measuring 9 inches What is the length, in inches, of the o
    9·1 answer
  • Hadassa is hiking at a rate of 5 miles per hour. At this rate, how long will it take her to hike 32.5 miles? I NEED HELP PLEASE
    15·1 answer
  • PLSSS HELP IF YOU TURLY KNOW THISS
    6·2 answers
  • Show all work
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!