A group of students is given a 10 by 10 grid to cut into individual unit squares. The challenge is to create two squares using all of the unit squares. Their teacher states that after the two new squares are formed, one should have a side length two units greater than the other. Which equation represents x, the side length of the greater square? x2 + (x – 2)2 = 10 x2 + 2x2 = 10 x2 + (x – 2)2 = 100 x2 + 2x2 = 100

Answers

Answer 1

Answer: It should be x^2 + (x-2)^2 = 100

Step-by-step explanation: the ^ is used to indicate an exponent when superscript is not available.

The solution to the correct equation will be x = 8. x -2 would be 6

8^2 = 64. 6^2 = 36. 64+36 = 100.

Answer 2

The equation that represents x, the side length of the greater square should be considered as the [tex]x^2 + (x-2)^2 = 100[/tex]

Calculation of the equation:

Since

A group of students is given a 10 by 10 grid to cut into individual unit squares.

So here the equation be like [tex]x^2 + (x-2)^2 = 100[/tex]

Hence, The equation that represents x, the side length of the greater square should be considered as the [tex]x^2 + (x-2)^2 = 100[/tex]

Learn more about an equation here: https://brainly.com/question/17069398


Related Questions

Solve by substitution
X^2= 2y + 10
3x-y = 9

Answers

Answer:

[tex]x=-4\\ x=-2\\ y=-21\\ y=-15[/tex]

Step-by-step explanation:

[tex]x^{2} =2y+10[/tex]

[tex]y=-9+3x[/tex]

[tex]x^{2} =2(-9+3x)+10[/tex]

[tex]x^{2} =-18+6x+10[/tex]

[tex]x^{2} =6x-8[/tex]

[tex]x^{2} -6x+8[/tex]

[tex]x=-4, -2[/tex]

[tex]y=-9+3(-4)[/tex]

[tex]y=-9-12[/tex]

[tex]y=-21[/tex]

[tex]y=-9+3(-2)[/tex]

[tex]y=-9-6[/tex]

[tex]y=-15[/tex]

Answer:

(4,3) (2,−3)

Step-by-step explanation:

x^2 =2(−9+3x)+10

2(−9+3x)+10

x2 = −18+6x+10

x2=6x−8

x2−6x+8=0

We now have to find integers that find product is 8 and whose sum is −6

= -4 -2 we find this is set to 4 2 as x−4=0

Add 4 to both sides of the equation. x=4

Set the next factor equal to 0

x−2=0 Add 2 to both sides of the equation.x=2

Confirms and proves x = 4,  x = 2

We solve for y

2y+10=(4)2

2y+10=16

2y=16−10

2y = 6

y = 3

We rewrite and solve for y again

(2)^2=2y+10

2y+10=(2)*2

2y+10=4  

2y = 4(-10)

2y = -6

y= -3

Please help ASAP Very easy !!!!

Answers

Answer:

C. [tex]\frac{3}{4} / \frac{1}{8}=6[/tex]

Step-by-step explanation:

This is the expression that is shown in the graph:

[tex]\frac{3}{4} / \frac{1}{8}[/tex]

We need to calculate the answer, so...

An easier way to divide a fraction by a fraction is to multiply one of the fractions with the reciprocal of the other fraction:

[tex]\frac{3}{4} *\frac{8}{1}[/tex]

8 divided by 1 is just 8 so you can simplify it:

[tex]\frac{3}{4}*8[/tex]

[tex]=\frac{8*3}{4}[/tex]

[tex]=\frac{24}{4}[/tex]

[tex]=6[/tex]

The exponent on a when a^2 is multiplied by a5 is
A. 3
B. 7
C. 10

Answers

Answer:

B

Step-by-step explanation:

[tex]a^2\cdot a^5= \\\\a^{2+5}= \\\\a^7[/tex]

Therefore, the correct answer is 7. Hope this helps!

Answer:

7

Step-by-step explanation: When multiplying  a number where both has exponent you add the exponent.  a^5 * a^2 is the same thing as a^5+2 which is a^7.

Sara rolls two dice, one black and one yellow. What is the probability that she will roll a 3 on the black die and 5 on the yellow die?

Answers

Answer:

1/6 x 1/6 = 1/36

Step-by-step explanation:

We have to multiply as the odds get smaller as in every experimental probability being from experimental one dice and then trying to achieve that number alongside and same timing another number on an inclusive 2nd dice.

Find the surface area of the cylinder. Round your answer to the nearest tenth. Radius-8ft hieght-9ft
thanks!

Answers

The answer is 854.5 ft

I havent done surface area in a while so it might be slightly off

Divide 24.71/13 to 3 decimal place

Answers

Step-by-step explanation:

1.901

hope this helps.

Answer:

1.900769231

In three decimal places is 1.901

Step-by-step explanation:

HAVE A GOOD DAY!

The ages of kids in a neighborhood are shown below. What is the mode?
5,8,3,1,5, 4, 4, 6, 12, 10,4

Answers

Answer:

the mode is 4

Step-by-step explanation:

the 4 appears more than the other numbers

Answer:

4

Step-by-step explanation:

Mode = Number shown the most.

Vector donated 1/5 of yesterday's sales plus an additional $125. He gave Azul $2,225 total. How much money did the store make in sales yesterday?

Answers

Yesterday, the store made $10,500 in sales

Here is a number machine. Write down an expression for the output if the imput is n. input=n) (+2) (x3) (output=?

Answers

Answer:

3n+6

Hope this helps you

Answer:

3n+6

Step-by-step explanation:

Do 6,7 for 10 points.

Answers

Answer:

6. x = 3 7. x = 120 8. x= -5

Step-by-step explanation:

the first question is x(-4) + 3 = -9

find the value of x :

-4x + 3 = -9

we can subtract 3 on both sides since we have a value of 3 on the left, which will cancel the value out.

-4x = -12

-4(3) = -12

therefore the answer to problem 6 is x=3

and for 7 :

x / 6 - 9 = 11

we can add 9 on both sides which will cancel it out;

x/6 = 20

120/6 = 20

therefore the answer to the question 7 is 120.

For problem 8 it says :

-3x -5 = 10

we can add 5 on both sides to get:

-3x = 15

-3(-5) = 15

therefore the answer to problem 8 is -5

Michael started a savings account with $100. After 6 weeks, he had $140, and after 12 weeks, he had $260. What is the rate of change of money in his savings account per week?
this question looks easy but nothing makes sense to me second half didn't line up with my answer

Answers

Answer:

Rate of change of money in Michael's account will be $20 per week.

Step-by-step explanation:

If we draw a graph for the duration of investment on x-axis and amount in the account on y-axis, ordered pairs for both the conditions will be,

After 6 weeks, amount in the account = $140

Ordered pair : (6, 140)

After 12 weeks, amount in the account = $260

Ordered pair : (12, 260)

Rate of change in hi account per week = [tex]\frac{\triangle y}{\triangle x}[/tex]

                                                                 = [tex]\frac{260-140}{12-6}[/tex]

                                                                 = [tex]\frac{120}{6}[/tex]

                                                                 = $20 per week

Therefore, rate of change of money in Michael's account will be $20 per week.

help plz!
Find the width of a cereal box that has a volume of 6,860 cm3 and is 35 cm long and 28 cm high.

Answers

Answer:

The width is 7 cm

Step-by-step explanation:

The volume of a cereal box is

V = l*w*h

6860 = 35 * w * 28

6860 =980 w

Divide each side by 980

6860/980 = w

7 = w

Answer:

35*28=6,860

980 = 6,860

divide by 980 to both side

_980__ =  _6,860_

980                980

x = 7

Step-by-step explanation:

The triangles below are similar because of the:
4
Z
х
12
6
2
Y
A
B
9
0000
AA similarity postulate.
SSS similarity theorem.
SAS similarity theorem.
The triangles are not similar.

Answers

Insufficient evidence. Would you please send a screenshot or a picture of the paper?


6) A passenger train has tickets available for 12 window seats and 8 aisle seats. The next person to buy a ticket will be randomly assigned to one of those seats. What is the probability that the next person will be assigned to an aisle seat?

11) At a store, customers are randomly selected to participate in a survey. On Friday, there were 500 customers at the store. Of those, 90 were selected to participate in the survey. On Saturday, the store manager expects 700 customers in the store. If the probability of being selected to participate in the survey on Saturday is the same as it was on Friday, how many customers will be selected to participate in the survey on Saturday?
13) An owner of a small store knows that in the last week 54 customers paid with cash, 42 paid with a debit card, and 153 paid with a credit card. Based on the number of customers from last week, explain in words why 15 is closest to the probability that the next customer will pay cash.
14) A store owner made a list of the number of greeting cards sold last month. The store sold 167 thank-you cards, 285 birthday cards, and 56 blank cards. Based on these data, write a decimal, rounded to the tenths place to show the probability that the next customer will buy a blank card.

Answers

The answer to number 6 is 2/5

14. Catherine found that as she increases the price of a chocolate bar, the number of sales per week decreased.

Answers

Answer: the higher the price is the less competitive the sales

Step-by-step explanation:

say i were to raise a price extremely from $2 to $6 you would buy the other brand of candy that is $2

If the graph of a rational function R has the horizontal asymptote y = 2, the degree of the numerator of R equals the degree of the denominator of R. True or False

Answers

Answer: TRUE

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Could someone explain why (-4)² is equal to 16 but -4² is equal to -16​

Answers

Answer:

It's all about the brackets.

Step-by-step explanation:

If we do (-4)^2, the brackets make it -4 x -4 and the two negatives make a positive of 16.

If we do -4^2, that means that the 4 is squared before putting the minus sign there so you have 4x4 = 16 then put the minus to get -16.

Hope this helps!

treviglaslibrary

Answer:

4^2= 16

Step-by-step explanation:

This is because when you square something your are multiplying that number by itself. So in this case you must multiply 4 x 4 which is sixteen. Another example of this is 3^2 which is 9. In this case you must multiply 3 x 3 which is nine.

Order the side lengths of the triangle from shortest
to longest.
aco
c
57
63
60
Note: Figure not necessarily drawn to scale.

Answers

Answer:

Step-by-step explanation:

57

60

63

What is the inverse of the function f(x) = 4x - 12

Answers

Answer:

y=x+12/4

Step-by-step explanation:

y=4x-12

x=4y-12 (then make y the subject)

x+12=4y(divide both sides by 4)

y=x+12/4

Y=x+12/4.
There you go bud

A fruit vendor purchased 540 fruits in all for $150. He sold 15 dozens at 2 bananas a dollar, another 15 dozens at 3 bananas a
dollar and the remaining at 5 bananas a dollar. Find his loss or gain percentage. ( with explanation )

Answers

Answer:

First find how much bananas are in a dozen

15 x 12 = 180

Divide the amount by the amount of bananas per dollar to find profit

180 / 2 = $90

Do the same thing as before

15 x 12 = 180

180 / 3 = $60

Find how many bananas are left

180 + 180 = 360

540 - 360 = 180

Do the same as before

180 / 5 = $36

Add up all the money. 90 + 60 + 36 = 186

Subtract the cost

185 - 150 = 36

To find percentage increase

36 / 150 = 0.24 or 24% profit

Hope this helps

Step-by-step explanation:

x + y = 2
y=-3x2 + 3

Answers

Answer:

x, y = -3/2, -3/2

Step-by-step explanation:

photo math will be your best friend

Answer: y = 2/3 x -2/3

Which expressions are equivalent to the one below? Check all that apply.
log 2 - log 8
A. log(3)
B. log 4
Chloe. log(2) + log(3)
D. log 2
SUBMIT

Answers

Answer:

none is equivalent. all are wrong

Please Answer it’s simple but today I’m not feeling like myself who can help me? Please
I think the picture is better

Answers

Answer:

Step-by-step explanation:

Answer:

1440

Step-by-step explanation:

Volume of larger prism÷Volume of cube

that is;

Note:V=LWH

Therefore

[tex](6 \times \frac{5}{6 } \times 1 \times \frac{2}{6} ) \div ( { \frac{1}{6} })^{ 3}

= 1440[/tex]

Hope this answers your question!

Please follow my account.

Cheers!

Write y + 1 = –2x – 3 in standard form.

Question 15 options:

a)

x + 12y = −2

b)

-2x-y = 4


c)

2x + y = -4


d)

y = -2x-4

Answers

Answer:

d

Step-by-step explanation:

isolate y and evaluate

Answer:

B

Step-by-step explanation:

move the y to the other side and the three to its opposite side

please help me ! :)

Answers

Answer:

B. (6, 5)

Step-by-step explanation:

On the 4th row of the table, we see 6 in the x column and 5 in the y column. This makes the point (6, 5).

No other answer choices match up to the points in the table.

I hope this helps :))

the answer is B (6,5)

I need help quick lot of points easy question marked brainliest the best.
How do you find out a histograms least frequency interval

Answers

Answer:

Histograms are graphs of a distribution of data designed to show centering, dispersion (spread), and shape (relative frequency) of the data. Histograms can provide a visual display of large amounts of data that are difficult to understand in a tabular, or spreadsheet form.

They are used to understand how the output of a process relates to customer expectations (targets and specifications), and help answer the question: "Is the process capable of meeting customer requirements?"

To construct a histogram, the first step is to "bin" (or "bucket") the range of values—that is, divide the entire range of values into a series of intervals—and then count how many values fall into each interval. The bins are usually specified as consecutive, non-overlapping intervals of a variable.

Hope this Helps, good luck on our assignment!

Answer:

Hey! I think this video will help you!

Step-by-step explanation:

It won't let me send the video for some reason so I'll try and spell it out. Hint: there are no actual spaces so look this up without the spaces.

h t t p s : / / w w w . y o u t u b e . c o m / w a t c h ? v = v h c i k R s r d J o

18 ÷ x = -2 what does x equal

Answers

Answer: x = -9

Step-by-step explanation:

18/x = -2

18x = -2x

x = -18/2 = -9

Where to Dig: The dinosaur's
tail bones are at the solution
point to the system of
equations below.
- 2x - 7y = -250
y = 140
Every time you click a point
using the CPS, the equations
below will update. Remember,
the solution is the point that
makes both equations true.
-2( x ) - 7(y) =250 X
4( x) - (y) =140 X

Answers

Answer:

x = 41

y = 24

Step-by-step explanation:

Systems of equations is,

-2x - 7y = -250 ------(1)

4x - y = 140 ------(2)

Equation (1) multiplied by 2 then added to equation (2)

  -4x -14y = -500

(+)   4x - y = 140  

          -15y = -360

             y = [tex]\frac{360}{15}[/tex]

            y = 24

by putting y = 24 in equation (2),

4x - 24 = 140

4x = 140 + 24

x = [tex]\frac{164}{4}[/tex]

x = 41

For x = 41 and y = 24 both the equations are true.

Equation (1),   -2(41) - 7(24) = -250  [True]

Equation (2),   4(41) - (24) = 140  [True]

Answer:it’s 41 and 24

Step-by-step explanation:

Two sides of a parallelogram measure 60 centimeters and 40 centimeters. If one angle of the parallelogram measures 1320, find the
length of each diagonal.
a.about 86.4 cm and 54.2 cm
c.about 91.7 cm and 54.2 cm
b. about 91.7 cm and 44.6 cm
d. about 86.4 cm and 44.6 cm​

Answers

Answer:

  b. about 91.7 cm and 44.6 cm

Step-by-step explanation:

The lengths of the diagonals can be found using the Law of Cosines.

Consider the triangle(s) formed by a diagonal. The two given sides will form the other two sides of the triangle, and the corner angles of the parallelogram will be the measure of the angle between those sides (opposite the diagonal).

For diagonal "d" and sides "a" and "b" and corner angle D, we have ...

  d² = a² +b² -2ab·cos(D)

The measure of angle D will either be the given 132°, or the supplement of that, 48°. We can use the fact that the cosines of an angle and its supplement are opposites. This means the diagonal measures will be ...

  d² = 60² +40² -2·60·40·cos(D) ≈ 5200 ±4800(0.66913)

  d² ≈ {1988.2, 8411.8}

  d ≈ {44.6, 91.7} . . . . centimeters

The diagonals are about 91.7 cm and 44.6 cm.

Solve 11x + 4 = 3x + 52 need this

Answers

______________________________

Hey!!

Solution,

11x+4=3x+52

or,11x-3x=52-4

or,8x=48

or,X=48/8

X=6

So, the answer is 6.

Hope this helps...

Good luck on your assignment

_____________________________

Answer:

11x+4=3x+52

11x-3x=52-4

8x=48

8x÷8=48÷8

x=6

the answer is x=6

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