56 is less than the square of 10 ​

Answers

Answer 1
Let X be the positive number.

From the given condition, we get X = X^2–56

=> X^2-X-56=0

Factorizing the above equation,

=> X^2–8X+7X-56=0

X(X-8)+7(X-8)=0

(X-8)(X+7)=0

X=8 or -7

Since it is said the number is positive. Our output number will be 7

Related Questions

What does HP equal? (Geometry)

Answers

Answer:

HP=13

Step-by-step explanation:

because JM and KH are perpendicular and JM is the diameter, JM is the perpendicular bisector of KH so KP=HP

For every 5 books her students read, Mrs. Fenway gives them 4 homework passes. Juan has earned 12 homework passes. What proportion shows how many books Juan has read?

4/12 = x/5
4/5 = x/12
4/5 = 12/x
5/12 = 4/x

Answers

Okay which class.are you first thing is that .. ok tell me then fast.

Find the approximate side length of a square game board with an area of 145 in 2 Plz help!

Answers

Answer:

Side length ≈ 12.04

Step-by-step explanation:

145 = x²

144 is the closest  square, with the root 12

The square root of 145 is approximately 12.04

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

The approximate side length is 12.0 in

Step-by-step explanation:

The area of a square is given by

A = s^2  where s is the side length

145 = s^2

Taking the square root of each side

sqrt(145) = sqrt(s^2)

12.04159458 = s

The approximate side length is 12.0 in

PLEASE HELP ME ANSWER THIS QUESTION ​

Answers

Answer:

x = 0

y = -2

Step-by-step explanation:

2304.06 is written in expanded form

4 is unit place. So, 4 *10⁰ = 4 * 1 = 1    {Any integer to the power of 0 is 1}

x = 0

6 is hundredth place = 6 * 1/100 = 6*10⁻²

y= -2

Solve each inequality, and then drag the correct solution graph to the inequality.

Answers

The correct solution graph to the inequalities are

[tex]4(9x-18)>3(8x+12)[/tex]  →  C

[tex]-\frac{1}{3}(12x+6) \geq -2x +14[/tex]  → A

[tex]1.6(x+8)\geq 38.4[/tex]  →  B

(NOTE: The graphs are labelled A, B and C from left to right)

For the first inequality,

[tex]4(9x-18)>3(8x+12)[/tex]

First, clear the brackets,

[tex]36x-72>24x+36[/tex]

Then, collect like terms

[tex]36x-24x>36+72\\12x >108[/tex]

Now divide both sides by 12

[tex]\frac{12x}{12} > \frac{108}{12}[/tex]

∴ [tex]x > 9[/tex]

For the second inequality

[tex]-\frac{1}{3}(12x+6) \geq -2x +14[/tex]

First, clear the fraction by multiplying both sides by 3

[tex]3 \times[-\frac{1}{3}(12x+6)] \geq3 \times( -2x +14)[/tex]

[tex]-1(12x+6) \geq -6x +42[/tex]

Now, open the bracket

[tex]-12x-6 \geq -6x +42[/tex]

Collect like terms

[tex]-6 -42\geq -6x +12x[/tex]

[tex]-48\geq 6x[/tex]

Divide both sides by 6

[tex]\frac{-48}{6} \geq \frac{6x}{6}[/tex]

[tex]-8\geq x[/tex]

∴ [tex]x\leq -8[/tex]

For the third inequality,

[tex]1.6(x+8)\geq 38.4[/tex]

First, clear the brackets

[tex]1.6x + 12.8\geq 38.4[/tex]

Collect likes terms

[tex]1.6x \geq 38.4-12.8[/tex]

[tex]1.6x \geq 25.6[/tex]

Divide both sides by 1.6

[tex]\frac{1.6x}{1.6}\geq \frac{25.6}{1.6}[/tex]

∴ [tex]x \geq 16[/tex]

Let the graphs be A, B and C from left to right

The first graph (A) shows [tex]x\leq -8[/tex] and this matches the 2nd inequality

The second graph (B) shows [tex]x \geq 16[/tex] and this matches the 3rd inequality

The third graph (C) shows [tex]x > 9[/tex] and this matches the 1st inequality

Hence, the correct solution graph to the inequalities are

[tex]4(9x-18)>3(8x+12)[/tex]  →  C

[tex]-\frac{1}{3}(12x+6) \geq -2x +14[/tex]  → A

[tex]1.6(x+8)\geq 38.4[/tex]  →  B

Learn more here: https://brainly.com/question/17448505

Answer:

4(9x − 18) > 3(8x + 12) = x > 9

(12x + 6) ≥ -2x + 14 = x ≤ -8

1.6(x + 8) ≥ 38.4 = x ≥ 16

Just follow the numbers with the dotted thing and see the numbers I underlined.

Step-by-step explanation:

Use the properties of inequality and real numbers to solve each inequality.

4(9x − 18) > 3(8x + 12)

36x − 72 > 24x + 36

12x − 72 > 36

12x > 108

x > 9

The graph has an open circle at 9, and moves toward the right on the number line.

(12x + 6) ≥ -2x + 14

12x + 6 ≤ 6x − 42

6x + 6 ≤ -42

6x ≤ -48

x ≤ -8

The graph has a closed circle at -8, and moves toward the left on the number line.

1.6(x + 8) ≥ 38.4

x + 8 ≥ 24

x ≥ 16

The graph has a closed circle at 16, and moves toward the right on the number line.

What is the mode for the set of data? 6, 7, 10, 12, 12, 13
Answer choices:
10
12
13
11​

Answers

Answer:

mateweew ans is 12

The mode is the value that appears most frequently in a data set.

and 12 repeats twice other once so anw is obv 12

Answer: 12

Step-by-step explanation:

Use index notation to write 248 as a product of its factor

Answers

Answer:

2^3 x 31

Step-by-step explanation:

31 is a prime number

Phoebe took a survey of her classmates' favorite sport. The results are in the table below:

What is the relative frequency of survey members who prefer tennis?

Answers

The choose ( 0.25 )

Relative Frequency = Category Frequency / Total Frequencies

Category Frequency (prefer tennis) = 7

Total Frequencies = 28

Relative Frequency = 7 / 28

Relative Frequency = 0.25

I hope I helped you^_^

The relative relative frequency of survey members who prefer tennis is found to be 0.25.

Relative FrequencyWhat is relative frequency?

The ratio of the total number of events that occur in a experiment to the number of times an event occurs is known as relative frequency.

Formula of relative frequency:

Relative Frequency = Subgroup frequency/ Total frequency.

Calculation for relative frequency of tennis:

Total frequency for the sports is 28.

The frequency for tennis is 7.

The relative frequency of survey members who prefer tennis =

total frequency for tennis/total frequency for all sports

Relative frequency = 7/28

                               = 0.25

Therefore, the relative frequency for the members who preferred playing tennis is 0.25

To know about frequency distribution, here

https://brainly.com/question/1094036

#SPJ2


write x²-y² in factorize form.
write (p+p) ²in expanded form. ​

Answers

Answer:

(x-y)^2

p^2+p^2

Step-by-step explanation:

^2 means square

Answer:

see explanation

Step-by-step explanation:

x² - y² ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

x² - y²

= (x - y)(x + y)

------------------------------

(p + p)²

= (2p)²

= 2p × 2p

= 4p²

Please help explanation if possible

Answers

Answer:

17.6

Step-by-step explanation:

Answer:

80 pennies ; 160 nickels

Step-by-step explanation:

Given the 2 equations

0.01p + 0.05n = 8.80 → (1)

n = 2p → (2)

Substitute n = 2p into (1)

0.01p + 0.05(2p) = 8.80

0.01p + 0.1p = 8.80

0.11p = 8.80 ( divide both sides by 0.11 )

p = 80

Substitute p = 80 into (2)

n = 2 × 80 = 160

There are 80 pennies ; 160 nickels

URGENT ! HELP ME I WILL MARK YOU BRAINLIEST !!!!

pleasee fasterrr !!!!​

Answers

Answer:

3b (3a - 4b)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

9ab - 12b² ← factor out 3b from each term

= 3b(3a - 4b) → C

Given 4,7,10,13. Calculate the 20th term.​

Answers

Answer:

61

Step-by-step explanation:

to calculate the 20th term you use the formula

Tn=a+(n-1)d where a stands for the first term,n the number of terms and d the common difference.in this case the first term is 4 the common difference is 3 cause they were adding 3 to go to the next term.. therefore the solution will be:

Tn=4+(20-1)3

=4+19×3

=4+57

=61

the 20th term is 61

I hope this helps

Factor the polynomial x^2+9x+8 using the pattern x^2+(a+b)x+ab=(x+a)(x+b)

Answers

Answer: final answer is (x+1) (x+8)

We need two numbers that...

Add together to get 9

Multiply together to get 8

Try 1 and 8:

1+8 = 9

1*8 = 8

therefor the answer is  (x+1) (x+8)

Your best friend made 60% of the 40 shots he took. how many shots did your friend make?​

Answers

Answer:

24

Step-by-step explanation:

We need to find 60% of 40

60% * 40

.60 *40

24

He makes 24 shots

Step-by-step explanation:

60%/100%×40

60%/10%×4 (0 is cancelled)

6×4 (60 and 10 Cancelled)

24 Answer

Order each set of numbers from least to greatest

1.[tex]\sqrt{200}[/tex], 14, [tex]\frac{41}{3}[/tex]

Answers

Answer:

41/3, 14, square root of 200

Step-by-step explanation:

41/3 = 13.66

14 is just 14

and square root of 200 is 14.14

DONT UNDERSTAND THE QUESTION CAN SOMEONE HELP ME!!!

Answers

Answer:

246.62007 cm. HTH!

Step-by-step explanation:

A=2AB+(a+b+c)h

AB=s(s﹣a)(s﹣b)(s﹣c)

s=a+b+c

2

Solving forA

A=ah+bh+ch+1

2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=8·9+5·9+10·9+1

2·﹣84+2·(8·5)2+2·(8·10)2﹣54+2·(5·10)2﹣104≈246.62007

What is the decay factor of an exponential function that represents a 64% decrease?

Answers

Answer:

.36

Step-by-step explanation:

To find the decay factor

y = a(1-b)^x

b = 1-rate of decrease

   = 1-64%

   = 1-.64

   = .36

Solve.
d+e= 2
d-e = 4
Use the substitution method.
O There are an infinite number of solutions.
O There is no solution.
О
The solution is
(3. – 1).
(5, 1)
O The solution is

Answers

Step-by-step explanation:

let d+e=2 be equation 1

let d-e=4 be equation 2

lets make d the subject in equa 1

d = 2-e equation 3

put equation 3 in 2

2-e=4

e=2-4

e=-2

put e=-2 in equa 1

d-2=2

d=4

e is -2 and d is 4

Statement Reason
Check Answers

Answers

Answer:

Question?

Step-by-step explanation:

8y-2d=0 5y+4d=26 1/4

Answers

Answer:

y = 1

d = 4

Step-by-step explanation:

8y - 2d = 0 ---------------(I)

5y + 4d = 26 1/4

5y + 4d =  105/4  ------------------(II)

(I)*2      16y  - 4d = 0

(II)          5y + 4d = 105/4      {add (I) &(II)}

             21y        = 105/4

[tex]y = \frac{105}{5*21}\\\\y=\frac{105}{105}\\\\y = 1[/tex]

Substitute y =1 in equation (I)

8*1 - 2d = 0

8 - 2d = 0

   -2d = -8

      d = -8/-2

d = 4

Answer:

  (y, d) = (1.25, 5)

Step-by-step explanation:

We can add twice the first equation to the second.

  2(8y -2d) +(5y +4d) = 2(0) +26 1/4

  21y = 26 1/4

  y = (105/4)/21 = 105/84 = 5/4

  8(5/4) -2d = 0

  5 = d . . . . . . . . . . add 2d, divide by 2

The solution to this system of equations is ...

  y = 5/4, d = 5

WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART

Answers

Answer:

I have to agree

it's A.

but I'm also thinking it's D.

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Which phrase matches the expression 2v?
A. v divided by 2
B. twice v
C. 2 decreased by v
D. 2 more than v

Answers

Answer:

B) twice v

Step-by-step explanation:

because if there is no any sign between a number and a variable then you know that there is sign of multiplication

Geometry, please answer question ASAP

Answers

Answer:

B.

Step-by-step explanation:

The ratio of the lengths of the sides of a 30-60-90 triangle is

1 : sqrt(3) : 2

From the 1 and 2, we see that the hypotenuse must be twice the length of the short leg.

From the 1 and sqrt(3) we see that the long leg is sqrt(3) times the length of the short leg.

Now we check for these two ratios in each choice.

A.

1 is twice 1/2. Check

sqrt(3)/2 is sqrt(3) times 2. Check

B.

10 is twice 5, not twice 5/2. This does not check.

C.

2sqrt(2) is twice sqrt(2). Check

sqrt(6) is 2sqrt(2) time sqrt(3). Check

D.

6 is twice 3. Check

3sqrt(3) is sqrt(3) times 3. Check

Answer: B.

Answer:

B

Step-by-step explanation:

Angle ratio = 30 : 60 : 90

Side ratio = x : x√3 : 2x

[tex]A) x = \frac{1}{2}\\\\ \ x\sqrt{3 } = \frac{1}{2}*\sqrt{3}=\frac{\sqrt{3}}{2} \\\\2x = 2*\frac{1}{2}=1[/tex]

True

[tex]C) x = \sqrt{2} \\\\x\sqrt{3}=\sqrt{2} *\sqrt{3} =\sqrt{2*3}=\sqrt{6}\\\\2x=2\sqrt{2} \\[/tex]

True

[tex]D) \ x = 3\\\\x\sqrt{3}=3\sqrt{3}\\\\2x = 2*3 = 6[/tex]

True

Write an expression for the sequence of operations described below.
add s and q, then add the result to the sum of r and t
Do not simplify any part of the expression.

Answers

Answer:

(s+q)+(r+t)

Step-by-step explanation:

statement one s+t

statement two r+t

then add statement one to two to get

(s+t)+r+t

16. please help word problem math!!!

Answers

3x+4 because three times the age and in 4 years

Answer:

ok what the question please

Is 512 is not a perfect square​

Answers

Answer:

A perfect square is a number that can be expressed as the product of two equal integers.

The only way to accurately calculate if a number is a perfect square is to find the factors. Before we go through the trouble of finding the factors, there is a quick trick you can use to help determine if you need even need to do the extra work.

Try these steps first:

A number that is a perfect square never ends in 2, 3, 7 or 8. If your number ends in any of those numbers, you can stop here because your number is not a perfect square.

Obtain the digital root of the number. The digital root essentially is the sum of all of the digits. If you're lost, don't worry, we'll go over each step in more detail below.

All possible numbers that are a perfect square have a digital root of 1, 4, 7, 9.

Let's try it...

Step 1:

What is the last number of 512? It is this number: 512. The answer is 2. Is 2 in the list of numbers that are never perfect squares (2, 3, 7 or 8)?

Answer: YES, 2 is in the list of numbers that are never perfect squares. The number 512 is NOT a perfect square and we can stop here as there is not need to complete the rest of the steps.

(b) In a sale the original prices are reduced by 15%.
(i) Calculate the sale price of a book that has an original price of $12.
$
(ii)
Calculate the original price of a jacket that has a sale price of $38.25.

Answers

Answer:

(i): $10.20

(ii): $32:51

Step-by-step explanation:

(i) 1. put the percentage of the discount into a decimal: 0.15

2. multiply 0.15 by the sale price to find the amount of the discount: $1.80

3. subtract the discount, $1.80, from the original price, $12: $10.20

(ii) 1. put the percentage of the discount into a decimal: 0.15

2. multiply 0.15 by the sale price to find the amount of the discount: $5.74

3. subtract the discount, $5.74, from the original price, $38.25: $32.51

(i) The sale price of the book of original price $12 is $10.20.

(ii) The original price of the jacket is $38.25.

What is the percentage?

The percentage is a calculation method for every 100.

How to calculate the sale price?

The original price of a book is $12.

In a sale the original prices are reduced by 15%.

∴ Price reduced = $(12*15%)

=$ 1.80

Hence, the sale price is = $(12-1.80)

=$10.20

What is discounted price?

The discounted price is the price a buyer pays after getting a discount of marked price.

How to calculate original price?

Here, the sale reduces price by 15%

The discounted price is equivalent to = (100-15)%

=85%

By the condition ,

85% = $38.25

∴100%= $(38.25/85*100)

=$ 45

Learn more about sale and discounted price here :

https://brainly.com/question/1385340

#SPJ2

factorise 12x²+15xy. ​

Answers

Answer:

3x(4x+5y)

Step-by-step explanation:

to factorise this equation you have to remove the common terms,or the common factors in this case the common factor for both sides is 3 and the common letter is x

12x²+15xy

3x(4x+5y)

I hope this helps

Factorize (x-3y)^3+27y^3
With explanation
Will mark Brainliest for the best one...

Answers

Use the identity: a^3 + b^3 = (a + b)(a^2 - ab + b^2)
Replace b^3 by 27y^3
x^3 + 27b^3 = (x + 3y)(x^2 - 3xy + 9y^2)

Once again, move points C, D, and E on the circle, and complete the table below. This time, you’ll consider what happens to the lengths of the sides of quadrilateral BCDE. Notice that m∠B is predetermined, so set that angle measure first.

Answers

Answer:

Also to help some of you out here’s the answer to question 6 !!

Question 6 : No apparent relationship exist between the side lengths of quadrilateral BCDE inscribed in circle A

Step-by-step explanation:

Other Questions
Select the words to make the statements true.The repeal of the Stamp / Sugar Act led to the passage of the Declaratory/Coercive Act(s), assertingParliament's authority. It also encouraged more division unity among the colonies 7. Explain why Denis Derot wrote the Encyclopedia and what it was used foracross Europe. What is the axis of symmetry for y = 3x^2 + x - 2 PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!Which ratio is not equivalent to the others?A. 27:45B. 1520C. 9:15D. 3 to 5 disadvantages of working in factories find the square root and of 1+i3 How much ensure is needed to prepare 120 mL of a 1/4 strength solution? Find x and y in the figure A is (1, 2) and B is (3, 6).a. Find the length of AB.b. Find the mid-point of AB.c. Find the equation of the perpendicularbisector of AB. 1. What behavior on the part of the writer indicates that he is another speech day?2. What effect does the inclusion of the Glad Bag and Bert Newtons hair transplant among recent social changes have on the reader (3) What criticism does the writer make of the local MP?4. What does the writer find most frustrating about typical chems school speech days? (5) How would the author probably respond if the school jazz band played a bracket of numbers?(6) What criticism does the writer make of the book-token awards? (7) What is the name "Tess Trucheart intended to convey about school captain? (8) Which parents tend to feel that a speech day has been the best speech day the school ever had? (9) Is the speech day described here held at a primary school or a high school? Explain your reasoning. (10) Suggest three speech-day changes that the writer would approve of What makes it possiblefor a vascular plant tobe a long distance froma water source?A. long leavesB. flowersC. long rootsD. long stems Which of the following is an appropriate estimate of the distance, in miles, from the west coast to the east coast of the United States?A. 3 x 10-3B. 3 x 10-1C. 3 x 101D. 3 x 103 A firm has a beta of 1.3 and a debt-to-equity ratio of .4. The market rate of return is 11.6percent, the tax rate is 32 percent, and the risk-free rate is 3.3 percent. The pretax cost of debtis 7.2 percent. What is the firm's WACC? Can someone help me please What role does personality fulfill within the social development of the human being? The sum of the interior angles of a regular nonagon (9-gon) is equal to Complex poles and zeros. Sketch the asymptotes of the Bode plot magnitude and phase for each of the listed open-loop transfer functions, and approximate the transition at the second-order break point, based on the value of the damping ratio. After completing the hand sketches, verify your result using Matlab. L(s)= 1/s(s^2+ 3s+ 10) Which type of wetland includes a mixture of salt water and fresh water? _____ questions often present interviewees with a scenario they are likely to encounter on the job and ask them to indicate how they would handle it. Which best describes the relationship between the lineswith equations 4x 8y = 9 and 8x 7y = 9?A. perpendicularB. neither perpendicular nor parallelC. same lineD. parallel