The length of each side of a square is 3 inches more than the length of each side of a smaller square. The sum of the areas of the squares is 369 inches. Find the lengths of the sides of the two squares.

Answers

Answer 1
Since the area of a square is x^2, (x^2)+(x+3)^2=369, we simplify the equation to get 2x^2+6x+9=369. Then we subtract 369 from both sides to get 2x^2+6x+360=0. We then factor it and get 2(x-12)(x+15)=0
x can be 12 or -15

Related Questions

Sally picks seashells by the seashore. She lost 17 of them on her way home
With the remaining seashells, she planned to fill 5 jars with the same
number of seashells in each How many seashells did Sally originally pick?
a. You do not have enough information to solve this problem. The number
of seashells in each jar is the same as the number portion of her street
address, which is a 2-digit number. The first digit is 5. The last digit is
9 less than 3 times the first digit. How many seashells did Sally plan to
put in each jar?
b. By working backwards, determine how many seashells Sally originally
picked
C. The 5 jars that Sally chose would not each hold that many seashells In
her search for a 6th jar, she discovered a few seashells in her pocket
What are possible values for the number of seashells in each of the
6 jars and the number of seashells discovered in her pocket, such that
there are no seashells left over
(I need this ASAP! Thanks in advance!)
P.S. A step by step explanation would be really helpful ☺️

Answers

Answer:

  a) 56 shells in each jar

  b) 297 shells were picked

  c) 2, 8, 14, 20, ... shells were discovered (=2+6n); 47, 48, 49, 50, ... shells in each jar (=47+n); for n=0, 1, 2, 3, ...

Step-by-step explanation:

a)

The first digit is given as 5. The second is 9 less than 3 times 5, so is

  3×5 -9 = 15 -9 = 6

The 2-digit number that is Sally's house address is 56.

Sally originally planned to put 56 shells in each jar.

__

b)

If each of the 5 jars has 56 shells, and Sally collected 17 more than that, she originally picked ...

  5×56 +17 = 280 +17 = 297

Sally originally picked 297 shells.

__

c)

We saw that the number of shells to go into jars is 280. That will fill 6 jars with ...

  280/6 = 46 4/6 . . . . shells in each jar

That is, Sally can fill 6 jars with 46 shells each, and have 4 shells left over. The number of additional shells to put the same number in each jar will be a number that makes a multiple of 6 when 4 is added to it. Already we know that adding 2 shells will bring the total to 6 "extra", so will allow 1 more shell to be added to each of the 6 jars.

  additional shells = 2 +6n . . . . . . for some whole number n

  number in each jar = 47 +n . . . . . for the same whole number n

Sally could have discovered, 2, 8, 14, ... shells in her pocket.

3.


Graph the equation by translating y = |x|.

y = |x + 6|

A. Graph c

B. Graph b

C. Graph d

D. Graph a

Answers

Answer:

B. Graph b

Step-by-step explanation:

I got this answer correct

Answer: B
It’s graph B because when you see the number in a bracket next to X, you do opposite of the sign

is 96 a odd even urgent ​

Answers

Answer:

even

Step-by-step explanation:

the last digit is an even number

Hey there!

• Odd numbers are numbers that cannot be divided evenly

- EXAMPLE: 1, 3, 5, 7, & etc.

• Even numbers are numbers that can be divided evenly by 2

- EXAMPLE: 2, 4, 6, 8, & etc.

But that Without further ado lets answer the question

96 ÷ 2 = 48

96 is divisible of 2

So therefore, “96” is an EVEN NUMBER

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Enter the value of 3.4 (6+12).

Answers

Answer:

61.2

Step-by-step explanation:

first you add 6+12 and then multiply that number by 3.4

3.4(6+12)
solve what’s in the paranthesis
3.4 X 18
now multiply the numbers
3.4 x 18 = 61.2

What is the slope of a line that passes through (7,8) and (10,8) please help no links

Answers

slope=0
slope=(y2-y1)/(x2-x1)


8-8
——
10-7


0

3


=0

Solve the Quadratic

Solve for x.

x^2- x=20

Solution 1:
Solution 2:

Answers

Answer:

solution 1: 5

solution 2: -4

Step-by-step explanation:

x²-x-20=0;

(x-5)(x+4)=0;

x₁=5; x₂=-4.

Answer:

Solution 1: [tex]x = 5[/tex]

Solution 2: [tex]x = -4[/tex]

Step-by-step explanation:

The first is organize the given equation to the next form

[tex]ax^2 + bx + c[/tex]

So you substract -20 in both sides of the equation

[tex]x^2 - x - 20 = 0[/tex]

Know you can use the quadratic formula or find two number that sum give us [tex]b[/tex] and multiplied [tex]c[/tex].

[tex]b = s + r\\c = sr[/tex]

Replacing with the given values we have:

[tex]-1 = s + r\\-20 = sr[/tex]

With a trial and error the numbers are -5 and 4. Then you change the equation to

[tex]x^2 - x - 20 = (x - 5)(x + 4)[/tex]

And the equation is equal to 0 when  [tex]x[/tex] is equal to 5 and -4.

Find two numbers whose sum is 12 and whose product is 35.

Answers

I've been tryna call

I've been on my own for long enough

Maybe you can show me how to love, maybe

I'm going through withdrawals

You don't even have to do too much

You can turn me on with just a touch, baby

I look around and

Sin City's cold and empty (oh)

No one's around to judge me (oh)

I can't see clearly when you're gone

I said, ooh, I'm blinded by the lights

No, I can't sleep until I feel your touch

I said, ooh, I'm drowning in the night

Oh, when I'm like this, you're the one I trust

(Hey, hey, hey)

I'm running out of time

'Cause I can see the sun light up the sky

So I hit the road in overdrive, baby, oh

The city's cold and empty (oh)

No one's around to judge me (oh)

I can't see clearly when you're gone

I said, ooh, I'm blinded by the lights

No, I can't sleep until I feel your touch

I said, ooh, I'm drowning in the night

Oh, when I'm like this, you're the one I trust

I'm just walking by to let you know (by to let you know)

I can never say it on the phone (say it on the phone)

Will never let you go this time (ooh)

I said, ooh, I'm blinded by the lights

No, I can't sleep until I feel your touch

(Hey, hey, hey)

I said, ooh, I'm blinded by the lights

No, I can't sleep until I feel your touch

Select THREE expressions that are equivalent to 12x + 8y.

A. 12(x + 8y)
B. 4(3x + 2y)
C. 2(12x + 4y)
D. 4(2x + 3y)
E. 6x + 6x + 4y + 4y
F. 5x + 3x + 3x + x + 6y + y + y

Answers

Answer:

B

E

F

Step-by-step explanation:

B

4(3x+2y)

12x + 8y

E

6x+6x+4y+4y

12x + 8y

F

5x+3x+3x+x+6y+y+y

5x+6x+x+6y+2y

12x+8y

Synthetic division. (X^3+5x^2-x-9)+{x+2

Answers

Answer:

Step-by-step explanation:

1/6 to the 2nd power

Answers

That means multiply 1/6 times 1/6 which equals 1/36

Find the volume of the following cone. Round your answer to the nearest integer.

Answers

Answer:

754

Step-by-step explanation:

right triangle a² + b² = c²

                      9² + b² = 13²

                      81 + b² = 169

                            b² = 169 - 81

                            b² =  80

                            b  =[tex]\sqrt{80}[/tex]

   [tex]V = \frac{1}{3} \pi r^2h[/tex]

   [tex]V = \frac{1}{3} \pi (\sqrt{80} )^2 (9)[/tex]

  [tex]V = 3\pi (80)[/tex]

   [tex]V = 240\pi[/tex]

    Using π = 3.14                      Using calculator value of π

      V = 753.6                                V  =  753.9822369

pls show steps on how to do it

Answers

Step-by-step explanation:

½× 10 × 5√3 cm² =

25√3 cm²

or

43.30 cm²

>> Answer

_________

[tex]\:[/tex]

1/2 × 10 × 5[tex]\sqrt{3}[/tex] = ...

= 5 × 5[tex]\sqrt{3}[/tex]

= 25[tex]\sqrt{3}[/tex]

Which expressions are equivalent to 3(6e+4)+8(e+2)+6e ?

Select all that apply.


2e+5(6e+4)+24

23e + 28

4(8e+28)

28 + 32e

4(8e+7)

Answers

Answer:

MINE IS 4Q 9

Step-by-step explanation:

24 donuts in 2 boxes = donuts per box

Answers

Answer: 12 in each

Step-by-step explanation: To solve this you'd divide the number of donuts by boxes.

Answer:

12 Donuts Per Box

Step-by-step explanation:

24/2=12

Talia sells educational software for a yearly salary of $65,000 plus a 2.65% commission on her total sales. If Talia sells $2.5 million of software during one year, what are Talia’s earnings for that year?

Answers

Answer:

$131250

Step-by-step explanation:

Talia's earnings during one year are equal to her base yearly salary ($65000) added to her commission. Now, to know the commission it is necessary to find the 2.65% of her total sales ($2.5 million)

Step 1. Divide the total sales or 2,500,000 by 100 considering this represents the total or 100%

2,500,000 ÷ 100 = 25000

Step 2. Multiply this number by the specific percentage (2.65)

25000 x 2.65 = 66250

Now add the commission and the yearly salary

65000 + 66250 = 131250

Hence, total earnings of Talia were $131250

What is the value of sin (1)?
-Pi/2.
0
Pi/2
Pi

Answers

Answer:

6 mhmh

Step-by-step explanation:

-2 1/8 ÷ 1 1/4? I still can't get it

Answers

Answer:

-1.7 sorry if it's wrong

-2 1/8 divided by 1 1/4 = -1 7/10

A car travels 552.5 miles in 8.5 hours. An equation that represents the distance,d, a car travels in h hours is h = 65d​
True Or False

Answers

Answer:

True

Step-by-step explanation:

it's true cuz im corrrect

help me with math and ill mark brainliest​

Answers

Answer:

121,59 the answer

just ask for Father explanation

Please answer!!
No links
Picture is included

Answers

Answer:

I believe it's B hope this helps

What is the slope of a line that passes through the points (13,0) and (-2,12) please help no links

Answers

slope= -4/5
slope=(y2-y1)/(x2-x1)

12-0
———
-2-13

12
——
-15

4 -4
— -> ——
-5 5

Given (x – 7)2 = 36, select the values of x.

x = 13

x = 1

x = –29

x = 42

Answers

Answer:

x=1,13

Step-by-step explanation:

(x – 7)^2 = 36

Take the square root of each side

sqrt((x – 7)^2) = sqrt(36)

x-7 = ±6

x-7 = 6         x-7 =-6

Add 7 to all sides

x-7+7 = 6+7         x-7+7 = -6+7

x = 13                    x=1

HELLPPPP COMPATIBLE NUMBERS

Yesterday, Nate’s mom bought 4 boxes of crackers for $2.59 each. About how much
did she pay for the crackers?

Answers

Answer:

She paid $10.36

Step-by-step explanation:

Answer:

10.36

Step-by-step explanation:

4 x 2.59 = 10.36

A principal wants to know if students at a high school are in favor of a new dress code at the school. The Principal is not able to ask the opinion of every student at the school so she needs to select an appropriate sample of the students from the principal to represent the school. Select which sample of the students the principal should choose.

a. Students randomly selected from a list of all students at the school.
b. Students sitting at randomly selected tables in the library.
c. Students she selects from the hallway between classes.
d. Students selected by the teachers.

Answers

Answer:

a.

Step-by-step explanation:

b is unfair because not all types of students are represented. c is unfair because the principal can choose unfairly. d is unfair just like b is unfair.

The equation of a line that is perpendicular to the x-axis and passes through the point (2, -1).

Answers

Step-by-step explanation:

perpendicular to the x-axis means it is parallel to the y-axis.

and that means it is simply just a constant x value.

which x value ?

well, the point defines it (2).

so the solution is : x = 2

WHTH IS THE MUITPLES OF SEVEN

Answers

Answer:

7, 14, 21, 28, and 35.

You can also find the multiples because you just multiply 7 by any number

Ex:

7 * 1 =7

7 * 2 = 14

7 * 3 = 21

7 *  4 = 28

etc.

Hope that helps you and have a great rest of your day!!

Step-by-step explanation: Just multiply 7 by 1, 2, 3, 4, 5, and more then you'll get the multiples (hope it helps +)

If f(x)=x^2 and g(x)= (square root of x)+2, what is (g(f(2))+f(1)?

Answers

Step-by-step explanation:

I am not sure that you typed it all correctly.

but based on what is written here

f(x) = x²

g(x) = sqrt(x) + 2

so, g(f(2)) + f(1) = g(2²) + 1² = g(4) + 1 = sqrt(4) + 2 + 1 =

= 2 + 2 + 1 = 5

Marie and Jorge are both trying to lose weight. After 3 months they compared their weight loss. Marie’s weight went from 175 to 150. Jorge’s weight went from 190 to 180. Which statements are true regarding their weight loss? Select three options.
Jorge’s weight change was approximately 5%.
Marie’s weight change was approximately 14%.
Marie had the greater percent change.
Jorge had the greater percent change.
Marie’s weight change was approximately 1.4%.

Answers

Answer:

Jorge's weight change was approximately 5%.

Marie's weight change was approximately 14%

Marie had the greater percent change.

Step-by-step explanation:

Solution:

Marie's former weight = 175

New weight = 150

Difference = 175 - 150 = 25

Percentage change = 25/175 × 100

= 1/7 × 100

= 14.2%

Jorge's former weight = 190

Jorge's new weight = 180

Difference = 190 - 180 = 10

Percentage change = 10/190 × 100

= 5.26%

From the above explanation, the following are right:

• Jorge's weight change was approximately 5%.

• Marie's weight change was approximately 14%

• Marie had the greater percent change.

Answer:

Step-by-step explanation:

Jorge’s weight change was approximately 5%.

Marie’s weight change was approximately 14%.

Marie had the greatest percent change.

Marie: 175-150 = 25

What percentage is 25 of 175 = x/100 = 25/175

= 14.29%

Jorge: 190-180= 10

What percent is 10 of 190? = x/100 = 10/190

= 5.3%

I really need help! Brainliest awarded to correct answer
:))

Answers

Answer:

Can you be more specific on this question?

Step-by-step explanation:

)
The circumference of a circle is 8cm. What is the RADIUS of the circle?
A) 2 cm
B) 4 cm
C) 6 cm
D) 8 cm

Answers

The raduis of a 8cm circle would be 4cm
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