I'm not sure what to do about this problem, so please help me out.

I'm Not Sure What To Do About This Problem, So Please Help Me Out.

Answers

Answer 1

Answer:

21

Step-by-step explanation:

Let the three consecutive integers be;

    x , x + 1 and x + 2:

The sum of squares of the two smaller numbers:

  The two smaller numbers are x and x+ 1

Sum of their squares:

           x² + (x+1)²;

        x² + x² + 2x + 1 = 2x² + 2x + 1

It is 45 more than the square of the larger number:

    Larger number = x + 2

        (x+2)² = x² + 4x + 4

 45 more;

        x² + 4x + 4 + 45  = x² + 4x + 49

Both are equal:

 2x² + 2x + 1 =  x² + 4x + 49  

  2x² - x² + 2x - 4x + 1 - 49 = 0

      x² - 2x - 48 = 0

      x² - 6x + 8x - 48 = 0

      x(x - 6) + 8(x - 6) = 0

      (x + 8)(x-6) = 0

      x + 8 = 0 or x - 6 = 0

      x  = -8 or x = 6

We choose x = 6 because it makes the solution true as a positive integer

  Sum of the three numbers:

     x + x + 1 + x + 2 = 6 + 6 + 1 + 6 + 2 = 21

   


Related Questions

please help please help please help please help

Answers

Answer:

it is -5

Step-by-step explanation:

Answer:

Correct Answer = -5

Step-by-step explanation:

Someone please help me i dont get how to do this?

Answers

Answer:

y= -3x-1

Step-by-step explanation:

hope this helps :)

Answer:

y = - 3x - 1

Step-by-step explanation:

The equation in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, - 4) and (x₂, y₂ ) = (2, - 7) ← 2 ordered pairs from the table

m = [tex]\frac{-7+4}{2-1}[/tex] = [tex]\frac{-3}{1}[/tex] = - 3 , thus

y = - 3x + c ← is the partial equation

To find c substitute any ordered pair into the partial equation

Using (1, - 4 ), then

- 4 = - 3 + c ⇒ c = - 4 + 3 = - 1

y = - 3x - 1 ← equation of linear function

find the midpoint of the line segment with the given endpoints(3, -5) and (7,9)

Answers

Answer:

Step-by-step explanation:

(x₁ , y₁) = (3 , -5)    & (x₂, y₂) = (7 , 9)

[tex]Midpoint = (\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2})[/tex]

               [tex]=(\frac{3+7}{2} , \frac{-5+9}{2})\\\\=(\frac{10}{2} , \frac{4}{2})\\\\=(5 , 2)[/tex]

In ΔBCD, the measure of ∠D=90°, BC = 81 feet, and DB = 52 feet. Find the measure of ∠C to the nearest tenth of a degree.

Answers

Answer:

39.9°

Step-by-step explanation:

m∠C = β

sin β = [tex]\frac{52}{81}[/tex] ⇒ β = arcsin [tex]\frac{52}{81}[/tex] ≈ 39.9°

Answer:

39.9

Step-by-step explanation:

sinC=  

sin C = \{52}{81}

sinC=  

81

52

​  

 

C=\sin^{-1}{52}{81})

C=sin  −1 (  81 /52 )

C=39.9393\ 39.9^

C=39.9393≈39.9∘

7d – 4d – 3d – 5 = 6d

Answers

Answer:

[tex]d = -\frac{5}{6}[/tex]

Step-by-step explanation:

7d – 4d – 3d – 5 = 6d

(7d - 4d = 3d)

3d - 3d -5 = 6d

(3d - 3d = 0)

0 - 5 = 6d

-5 = 6d

-5/6 = 6d/6

d = [tex]\frac{-5}{6}[/tex]

Hope this helps ^-^

Which equation can be used to prove 1 + tan?(x) = sec2(x)?
cos?(x), sin?(x) =_1
sec?(x) sec (x) sec?(x)
cos?(x), sin?(x) 1
sin?(x) sin?(x) sin?(x)
cos?(x), sin?(x) =_1
tan?(x) tan(x) tan2(x)
O
cos?(X) + sin?(X) - 1
cos(x) cos(x) cos(x)

Answers

Answer: D

Step-by-step explanation:

How much will you get paid if you work 28.5 hours for $7.75 per hour?

Answers

Answer: 28.5 hrs x 7.75 = $220.875
This can be rounded up to $220.90

Hope this helps :)

Answer:

$220.88

Step-by-step explanation:

What is rhe vertex of this parabola ?????? HELP

Answers

Answer:

The vertex is (3,1)

Step-by-step explanation:

Brainliest please

Huilan's age is two times Thomas's age. The sum of their ages is 30 . What is Thomas's age?

Answers

Answer:

10

Step-by-step explanation:

10+20=30

20 is two times 10

Since Thomas's age is half, Thomas's age is 10

A prime number is an integer greater than 1 with exactly two different positive factors, 1 and the number itself. There are three children in a family. Each of their ages is a prime number. The sum of their ages is 41 and at least two of the children have ages that differ by 16. Determine all possibilities for the ages of the children.

Answers

Answer:

Hence,

a=19,b=19,c=3

a=11,b=7,c=23

Step-by-step explanation:

[tex]Let\ their\ ages\ be\ a,b\ and\ c\ respectively, where\ a,b,c\ are\ primes\\Hence,\\a+b+c=41\\b-c=16\\Listing\ out\ all\ the\ primes\ from\ 0\ to\ 41\ we\ get:\\2,3,5,7,11,13,17,19,23,29,31,37,\\Hence,\\Lets\ seperate\ out\ the\ primes\ who\ differ\ by\ 16 :\\3\ and\ 19, 7\ and\ 23\ ,[/tex]

Hence,

[tex]Lets\ consider\ this\ set\ as\ b,c:\\Hence,\\To\ find\ a \\a=41-(b+c)\\Hence, By\ doing\ this\ indiviually\ we\ get:\\[/tex]

[tex]a=41-(19+3)\\a=41-22\\a=19\\Hence, a=19,b=19,c=3[/tex]

[tex]a=41-(23+7)\\a=41-30\\a=11\\Hence, a=11,b=7,c=23[/tex]

Mila reads at a rate of 3 paragraphs per minute.
After reading for 4 minutes, she had read a total of 12 paragraphs.

This situation can be represented with a linear equation written in point-slope form, where x represents the number of minutes and y represents the number of paragraphs.

Use this information to complete each statement about the linear equation.

Answers

Answer:

y= 3x

Step-by-step explanation:

This is honestly your basic times tables if we are being honest. We know that she read 3 paragraphs per minute. We also know that in 4 minutes, she read 12 paragraphs. 4 times 3 = 12. So the answer is y=3x.

Answer:

slope of the linear equation is 3

a point on the graph of a linear equation is (4,12)

linear equation can be written as y-12 = 3 (x-4)

Step-by-step explanation:

Cuz it is

-9x -2y=3
- 2x-y=-1
HELP ASAP

Answers

Answer:

is this even real what's the actual question?

Pam is having a yard sale. For each​ item, she is asking for two-fifths of the price for which she bought the item. Write an equation for the​ situation, where y is the price she is asking and x is the original price of the item.

Answers

Answer:

The equation is 2x = 5y

Step-by-step explanation:

From the question, we are told that what is asked is 2/5 of the price for which each of the items are bought

y is the asking price, x is the original

Mathematically,

that would be;

y = 2/5 * x

y = 2x/5

Thus;

2x = 5y

The scale of a map is 2/5 inches represents 3 miles. How much does 1 inch represent?

Answers

Answer:

DEEEEEEZ NUTTTTTTZ

Step-by-step explanation:

Function A has
The equation of line Ais
Function B has
Two different linear functions are shown below with two
points given from each function Use slope intercept form
or point slope form to find the equation of each
Linear Function A
Points (-5,-2), (5,7)
Linear Function B
Points(7,5).(-2,5)
The equation of line Bis

Answers

Answer: 4,1,2,2

explanation: I did it on edge 2021

Trevor is looking at purchasing a new cellular phone plan. Company A charges $35.25 a month, plus $.11/min for local calls. Company B charges $14.25 a month, plus $.32/min for local calls. Trevor stated that if he used x amount of minutes, the cost of the phone companies would be the same. For what amount of minutes, x, would Trevor's argument be true? Trevor is planning to use at least a 100 minutes for local a month. Which company would be cheaper for Trevor to use?

Answers

Answer: Trevor's argument will be true if he used 100 minutes.

Let x represent the amount of minutes that Trevor would use for the cost of the phone companies to be the same.

Company A charges $35.25 a month, plus $.11/min for local calls. This means that the total cost of making x minutes of call with Company A's plan is

32.25 + 0.11x

Company B charges $14.25 a month, plus $.32/min for local calls. This means that the total cost of making x minutes of call with Company B's plan is

14.25 + 0.32x

For both costs to be the same, the number of minutes would be

35.25 + 0.11x = 14.25 + 0.32x

0.32x - 0.11x = 35.25 - 14.25

0.21x = 21

x = 21/0.21 = 100

Step-by-step explanation:

f(n) = -n^3 – 4ng(n) =
-n +4Find: f(n) +g(n)

Answers

Answer:

-n^3 – 5n + 4

Step-by-step explanation:

f(n) = -n^3 – 4

g(n) =  -n +4

f(n)+ g(n) = (-n^3 – 4n)+(-n +4)

               = (-n^3 – 4n -n +4)

               = -n^3 – 5n +4

What would the x and y intercept for the following question? 5x+10y=20

Answers

Answer:

y= 1/2x+2

y int is 2

x int is -2

Step-by-step explanation:

plug in 0 for y int

set the equation equal to 0 for x int

graph the following function on the axes provided.

Answers

Answer:

Step-by-step explanation:

The graph of the piecewise function is attached below.

How to graph the following function on the axes provided?

Function is a type of relation, or rule, that maps one input to specific single output.

The piecewise function is given as:

f(x) =  - 6  for  -6< x < 1

       -2x + 5 for  1< x < 6

The above means that we plot the function on their interval or domain.

i.e. we plot f(x) = - 6  on the interval x < 0 and f(x) = -2x + 5 on the interval x < -6

Next, we plot the graph of the piecewise function.

Thus, The graph of the piecewise function is attached below.

Read more about piecewise function at;

brainly.com/question/18859540

#SPJ2

Solve the equation 3x-4=8-x

Answers

Answer:

x=3

Step-by-step explanation:

3x-4=8-x(Group like terms)

3x+x=8+4(Add both sides)

4x=12(After adding you will proceed to divide both sides by 4)

x=3(x is 3 because 4 can divide 12 3 times that's why we have x as equal to 3)

Graham drove 42 1/3 miles in 1 1/3 hours
How many hours did he take to drive one mile?

Answers

Answer: 1.89 minutes

Step-by-step explanation: If we take 1 and 1/3 hours and turn that into minutes we get 80 minutes we then divide it by the number of miles 42 1/3. We would get about 1.89, so it took about 1.89 minutes

Select the true statement about triangle ABC.
A. sin C = tan A
B. sin C = cos B
C. sin C = cos A
D. sin C = sin A​

Answers

Answer:

C

Step-by-step explanation:

sin C=12/13

cos A=12/13

so sin C=cos A

The trigonometric function gives the ratio of different sides of a right-angle triangle. The correct option is C.

What are Trigonometric functions?

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

Let's solve the given statement as shown below.

A.)

sin C = tan A

sin C = 12/13

tan A = 5/12

Therefore, the given equation is not true.

B. sin C = cos B

sin C = 12/13

cos B = 5/13

Therefore, the given equation is not true.

C. sin C = cos A

sin C = 12/13

cos A = 12/13

Therefore, the given equation is true.

D. sin C = sin A​

sin C = 12/13

Sin A = 5/13

Therefore, the given equation is not true.

Learn more about Trigonometric functions:

https://brainly.com/question/6904750

#SPJ5

Are all of these correct?

Answers

Answer:

all the answers are correct

Step-by-step explanation:

on number eight in the work on the 9x it should say -9x but you fixed it later so the answer is right but the work at that point isnt

1. Is correct
2. For this one I got -2+8k(I think that’s the same answer just worded differently
3. Correct!!
4. I got -2-10a(also believe that’s the same)
5. Correct
6. Correct
7. I got 5n+24
8. Correct!!!
GOOD JOB GIRL!!!

State the vertical asymptote of the rational function:
f(x) = ((x - 9)(x + 7)) / (x^2 - 4)

Answers

Answer:

Vertical Asymptotes: x=-2,2

Horizontal Asymptotes: y=1

Step-by-step explanation:

Plz mark brainliest.

(3, 2) and 3-2)
Find the slope of the line through each pair

Answers

Answer:

m = undef

General Formulas and Concepts:

Order of Operations: BPEMDASSlope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (3, 2)

Point (3, -2)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{-2-2}{3-3}[/tex]Subtract:                       [tex]m=\frac{-4}{0}[/tex]Simplify:                        m = undef

original price of CD: $13.00
Discount: 40%

Answers

Answer:

$7.80

Step-by-step explanation:

Multiply 0.4 (that is 40%) by 13

It would be 5.2

So subtract 5.2 from $13.00

7.8

So the CD price would be $7.80 with a 40% discount

Hope this helps you :)

Answer:

$5.20

Step-by-step explanation:

First you needed to multiply 0.40 and 13 so that would give you 5.2 so because you are dealing with money you need to add a two after the 2 in 5.2 to make it $5.20. I hope this helped!

1. It takes 17 minutes
to ride 6 1\4 miles on a
bike. How many miles
can Peter ride in 1 hour?

Answers

Answer:

21.6

Step-by-step explanation:

I think

The table shown below represents a function. Which of the following values could not be used to complete the table?



Options:

A. -20
B. -5
C. -15

Answers

Answer:

may be

15 is the answer

hope it help uh

10 po
8. A square with a perimeter of 20 is dilated
with a scale factor of 0.4. How would the
area of the new square be affected?
a) It would be 20 times bigger.
b) It would be 0.4 times smaller.
c) It would be 0.16 times smaller.
d) It would be 400 times bigger.
O a)

Answers

Answer:

the answer is c 0.16

Step-by-step explanation

I just took the test

Part A: what is the measure of QRS?
Part B; what is the measure of Q?

Answers

Answer:

QRS = 66° and Q = 95°

Step-by-step explanation:

Required Answer

[tex]\huge {\boxed{\sf{∠QSR=66⁰}}}[/tex]

[tex]\huge {\boxed{\sf{∠Q=95}}}[/tex]

Correct Question:

To find of :

∠QSR∠Q

Explanation:

∠QSR+∠QRT=180⁰

Reason:

linear pair

.°. ∠QSR+114⁰=180⁰

∠QSR=180⁰-114⁰

∠QSR=66⁰

Can also be done as follows:

To find value of ∠QSR first we have to find y

y⁰+(5y)⁰=114

Reason:

exterior opposite angle is equal to sum of interior angles

6y=114

y=114/6

y=19

y⁰+(5y)⁰+∠QSR=180⁰

Reason:

sum of angles of triangle =180⁰

6y+∠QSR=180⁰

6×19+∠QSR=180⁰

114+∠QSR=180⁰

∠QSR=180⁰-114⁰

∠QSR=66⁰

From second part we get the value of y

.°.∠Q=5×19

∠Q=95

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