15 / √31 - 4
can someone just solve this for me please
PLEASE ANSWER ONLY IF YOU ARE SURE else I am out of the class

Answers

Answer 1

Answer:

[tex]\frac{15}{ \sqrt{31} - 4}} = \sqrt{31} + 4[/tex]

Step-by-step explanation:

[tex]\frac{15}{\sqrt{31} - 4}\\\\=\frac{15}{\sqrt{31} - 4} \times \frac{\sqrt{31} + 4}{\sqrt{31}+ 4} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ rationalizing \ the \ denominator \ ]\\\\=\frac{15( \sqrt{31} + 4 )}{(\sqrt{31})^2 - (4)^2} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ (a-b)(a+b) = a^2 - b^2 \ ]\\\\=\frac{15 ( \sqrt{31} + 4)}{31 - 16}\\\\=\frac{15 (\sqrt{31} + 4)}{15}\\\\= \sqrt{31} + 4[/tex]


Related Questions

Ms. Sutton recorded the word counts and scores of the top ten essays in a timed writing contest. The table shows her data.

A 3-row table with 10 columns. The first row is labeled essay rank with entries 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. The second row is labeled essay score with entries 9.7, 9.5, 9.5, 9.0, 8.9, 8.9, 8.5, 8.4, 8.2, 7.0. The third row is labeled word count with entries 324, 352, 337, 318, 299, 304, 290, 291, 278, 250.

How does the word count of an essay relate to its score in the contest?

Word count tends to decrease as the score decreases.
Word count tends to increase as the score decreases.
Word count tends to remain constant as the score decreases.
Word count has no apparent relationship to the score of the essay.
Unmark this question

Answers

Answer:

The word count tend to decrease as the score decreases

Step-by-step explanation:

The 3-row table is presented as follows;

[tex]\begin{array}{ccc}Essay \ Rank&Essay \ Score&Word \ Count\\1&9.7&324\\2&9.5&352\\3&9.5&337\\4&9.0&318\\5&8.9&299\\6&8.9&304\\7&8.5&290\\8&8.4&291\\9&8.2&278\\10&7.0&250\end{array}[/tex]

The relationship between the values on the Word Count column and the values on the Essay Score column is that as the Essay Score decreases from the top down to the last row, the values on the Word Count generally decreases in the same manner (top down decrease)

Therefore, the Word Count decreases as the Essay Score decreases.

Figure ABCD is a parallelogram.
What is the perimeter of ABCD?
A
4y - 2
B
14 units
VX
0 38 units
3x - 1
44 units
2x + 2
49 units
D
2y + 6
С

Answers

Answer:

3rd option, 44 units

Step-by-step explanation:

3x-1 = 2x+2

or, x = 3

so each side, 3×3-1 = 8

4y-2 = 2y+6

or, y = 4

so each side, 4×4-2 = 14

so perimeter

= 2(8+14)

= 44 units

Answered by GAUTHMATH

HELP ASAP PLEASEEEEEEEEE

Answers

16 is the correct answer I believe because the double negative is canceled out.
The answer is 16 because if you subtract a negative number it becomes positive

Alice stand at point A and looks at the top of a 17.8 m tree TB, such that her line of sight makes an angle 38° with the horizontal. The height of her eye level is 1.5 m. Find the horizontal distance AB between Alice and the tree. ​

Answers

Answer:

Step-by-step explanation:

let the horizontal distance be x

(17.8-1.5)/x = tan 38

or x = 16.3/tan38

or x = 20.863

[tex]x + 0.25 = -0.25[/tex]

Answers

Answer:

x = -0.5

Step-by-step explanation:

x + 0.25 = -0.25

x = -0.25 - 0.25

x = -0.5

Describe the pattern in the following sequence and list the next three terms:
4, 8, 16, 32, ...

I’ll mark brainliest! Please help me

Answers

Ummm it’s kind of easy but this is my way of doing it
Multiples of 4 after continuing 2 digits skip one multiple and continue;-;

What is the area of a rectangle whose length is (5x + 2)cm and whose width is (3x + 1)cm?

Answers

Answer:

[tex]\displaystyle A = 15x^2 + 11x + 2\text{ cm}^2[/tex]

Step-by-step explanation:

We are given that the length and width of a rectangle is given by:

[tex]\ell = (5x + 2)\text{ cm} \text{ and } w = (3x+1)\text{ cm}[/tex]

And we want to find the area of the rectangle.

Recall that the area of a rectangle is given by:

[tex]\displaystyle A = w\ell[/tex]

Substitute:

[tex]A = (3x+1)(5x+2)[/tex]

Expand and simplify:

[tex]\displaystyle \begin{aligned}A &= 5x(3x+1) + 2(3x+1) \\ &= (15x^2+5x)+(6x+2) \\ &= (15x^2)+(5x+6x)+(2) \\ &= 15x^2 + 11x +2 \end{aligned}[/tex]

Hence, the area of the rectangle is:

[tex]\displaystyle A = 15x^2 + 11x + 2\text{ cm}^2[/tex]

14. PLEASE HELP ME
Which of the quadratic functions has the narrowest graph?

A. y= 1/8x2

B. y= 1/6x2

C. y= -x2

D. y= 2x2

Answers

Answer:

D. y= 2x2

Step-by-step explanation:

y = ax^2

If the absolute value of a is <1 the graph is wider than when a = 1

If the absolute value of a is >1 the graph is narrow than when a = 1

The only function that fits that description is  

y = 2x^2

B <<< answer.

Given: We are given equation of parabola ans to choose narrowest graph.

Parabola form narrowest and widest.

Larger value of a most narrowest graph.

Smaller value of a most widest graph.

Now, we will see the coefficient of x²

Now, we arrange the value of a in descending order.

2 is largest value of these.

Hence, The narrowest graph is  

there are 2 more pictures i have to upload but it won't let me

Point Q is located at (-4, 6). Point R is located at (8, 6).
What is the distance from point Q to point R?

Answers

Step-by-step explanation:

Hi there!

Given;

Point Q is located at (-4, 6). Point R is located at (8, 6).

Note: Use distance formula.

Now;

[tex](d) = \sqrt{( {x2 - x1)}^{2} + ( {y2 - y1)}^{2} } [/tex]

Keep all values;

[tex](d) = \sqrt{ {(8 + 4)}^{2} + ( {6 - 6)}^{2} } [/tex]

Simplify;

[tex](d) = \sqrt{( {12)}^{2} } [/tex]

Therefore, the distance is 12 units.

Hope it helps!

Help what is x
When x^5 is 225

Answers

Answer:

Solution given:

x^5=225

we have

x=[tex] \sqrt[5]{225} [/tex]

x=2.9541

Hello!

[tex] \bf {x}^{5} = 225[/tex]

Extract the radical on both sides of the equation.

[tex] \bf x = \sqrt[5]{225} [/tex]

[tex] \bf x ≈2.95418[/tex]

Answer: x 2,95418

Good luck! :)

please answer asap no wrong answers pls

Answers

Hi there!

[tex]\large\boxed{\frac{1}{5}, \frac{21}{5}}[/tex]

In order to set each equation equal to each other, we must have them both equal the same variable.

Rearrange the top equation to make it equal to y:

x - y = -4

Add 4 to both sides and add y to both sides:

x + 4 = y

Now, we can set both equations equal to each other:

x + 4 = 5(x + 1)² - 3

Begin solving by expanding the square binomial:

x + 4 = 5(x² + 2x + 1) - 3

Simplify:

x + 4 = 5x² + 10x + 5 - 3

x + 4 = 5x² + 10x + 2

Bring all terms to one side:

0 = 5x² + 9x - 2

Factor:

0 = (5x - 1)(x + 2)

Set the other factor equal to 0:

5x - 1 = 0

5x = 1

x = 1/5

Plug in this value of x into an original equation:

1/5 - y = -4

1/5 + 4 = y

1/5 + 20/5 = y

y = 21/5

If there are:
6 red marbles
10 yellow marbles
5 green marbles
and 1 blue marble What is the probability of picking 1 blue marble and 1 green marble?

(Once a marble is chosen it is NOT put back into the box).

(Write your answer in the form of a decimal, round to 2 places).

Answers

Answer:

total number of marble=22

probability of picking 1 blue marble= 1/22

=45×10^-2

probability of getting a green ball= 5/21

= 238×10^-3

What is the slope of a line that is perpendicular to the line whose equation is
y= 4x – 3?

Answers

Answer:

-1/ 4

Step-by-step explanation:

y = 4x-3  has a slope of 4 because the equation is in slope intercept form

y = mx+b where the slope is m

Perpendicular lines have slopes that are negative reciprocals

-1/ 4 is the slope of a line that is perpendicular to y = 4x-3

Which of the following expressions is equal to -12 ?
a.-15 - 3
b. -3 - (-9)
c. 5 - 17
d. -6 - (-6)

Answers

Answer:

c. 5 - 17

Step-by-step explanation:

a. -15 - 3 = -18

b. -3 - (-9) = 6

c. 5 - 17 = -12

d. -6 - (-6) = 0

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{Option A. \boxed{\bf \downarrow}}[/tex]

[tex]\huge\textsf{- 15 - 3}\\\huge\textsf{= -15 + (-3)}\\\huge\textsf{= \bf -18}\\\boxed{\huge\textsf{\bf -18 \boxed{\neq} -12}}\\\bullet\huge\text{ \bf Option A. cannot be your result.}[/tex]

[tex]\huge\text{Option B. }\boxed{\downarrow}[/tex]

[tex]\huge\textsf{-3 - (-9)}\\\huge\textsf{= -3 + 9}\\\huge\textsf{= \bf 6}\\\boxed{\huge\textsf{\bf 6 \boxed{\neq} -12}}\\\bullet\huge\text{\bf Option B. cannot be your result.}[/tex]

[tex]\huge\text{Option C. \boxed{\downarrow}}[/tex]

[tex]\huge\textsf{5 - 17}\\\huge\textsf{= 5 + (-17)}\\\huge\textsf{= \bf -12}\\\boxed{\bf -12 \ \boxed{=} -12}\\\huge\text{\bf Option C. could be the result.}[/tex]

[tex]\huge\text{Option D. \boxed{\downarrow}}[/tex]

[tex]\huge\textsf{-6 - (-6)}\\\huge\textsf{= -6 + 6}\\\huge\textsf{= \bf 0}\\\boxed{\bf 0 \ \boxed{\neq} -12}\\\huge\text{\bf Option D. cannot be your result.}[/tex]

[tex]\boxed{\huge\textsf{Answer: \bf Option C. \underline{\underline{5 - 17}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\boxed{\huge \boxed{\frak {Amphitrite1040:)}}}[/tex]

find the missing length indicated​

Answers

Answer:

240

Step-by-step explanation:

We are given a right triangle. Based on the leg rule, the following equation shows how the length of a leg in a right triangle relates with the segments connected to the hypotenuse:

Hypotenuse/leg = leg/part

Where,

Hypo = 400

Leg = x

Part = 144

Substitute

400/x = x/144

Cross multiply

400*144 = x*x

57,600 = x²

√57,600 = x

240 = x

x = 240

In the number 9663 which places contain digits where one dogit is 10 times as great as the other?

Answers

Answer: Hundreds and tens place values (the two copies of '6')

Explanation:

We're looking for where the digits are the same, which would be those two copies of '6'

The first 6 on the left is in the hundreds place. It represents 600

The other 6 is in the tens place, and it represents 60

The jump from 60 to 600 is "times 10".

please help asap don't give me the wrong answers.​

Answers

Answer: 340cm^

Step-by-step explanation:

you have to multiply them to find out

1. What is the perimeter of the rectangle?

Answers

Answer:

32

Step-by-step explanation:

A = l*w

55 = 5*w

55 /5 = 5w/5

11 = w

The perimeter is

P =2(l+w)

P = 2(5+11)

  =2(16)

  = 32

Answer:

32Units

Step-by-step explanation:

We know Area of rectangle=LENGTH×BREADTH

Here, breadth and Area given

55=5×L

L=11(value of length=11)

Perimeter=2(L+B)

32=2(5+11).

Find the slope of the line that passes through (2, 18) and (9, 9).

Answers

Answer:

m=-9/7

Step-by-step explanation:

The graph of the function f(x) = (x + 2)(x - 4) is shown. Which describes all of the values for which the graph is negative and increasing?

all real values of x where x < -2
all real values of x where -2 < x < 4
all real values of x where 1 < x < 4
all real values of x where x < 0​

Answers

Answer:

C. All real values of x where 1 < x < 4

Step-by-step explanation:

The function is negative below the zeros which would be from -2 to 4.

It would be increasing from the vertex which is 0 to 4.

Therefore, C makes the most sense out of all the choices.

Answer:

C was correct

Step-by-step explanation:

fill in the blanks □+0=3/4.also mention the property used.
plz answer fastly and give correct answer and I can understand .​

Answers

Answer:

3/4 + 0 = 3/4 Additive Neutral Property

Step-by-step explanation:

James wants to tile his floor using tiles in the shape of a trapezoid. To make the pattern a little more interesting he has decided to cut the tiles in half along the median. The top base of each tile is 12 inches in length and the bottom base is 16 inches. How long of a cut will John need to make so that he cuts the tiles along the median? O A. 2 inches B. 4 inches O C. 14 inches O D. 28 inches​

Answers

Answer:

Choice C. 14 inches

Step-by-step explanation:

Middle between 12 and 16 inches.

What is the length of the dotted line in the diagram below? Round to the nearest tenth. *Will mark brainliest*

Answers

Answer:

The dotted line is 4.9

Step-by-step explanation:

The lower triangle is a right triangle so we can use the Pythagorean theorem

a^2+b^2 = c^2

where a and b are the legs and c is the hypotenuse

2^2 + 4^2 = c^2

4+16 = c^2

20 =c^2

Taking the square root of each side

sqrt(20) = c

The upper rectangle has a length of sqrt(20) and a height of 2

We can use the  Pythagorean theorem

a^2+b^2 = c^2

where a and b are the legs and c is the hypotenuse  to find the  diagonal

2^2 + (sqrt(20))^2 = c^2

4+20 = c^2

24 = c^2

Taking the square root of each side

sqrt(24) = c

4.898979486=c

Rounding to the nearest tenth

4.9 =c

What is the leading coefficient of the polynomial: 5-3x+4x^2

Answers

Answer:

4

Step-by-step explanation:

5-3x+4x^2

Write the terms from highest power to smallest power

4x^2 -3x +5

The leading coefficient is the term in front of the highest power

4

Answer:

4

Step-by-step explanation:

The first step here is to rearrange the terms of this polynomial in descending order:  x^2, then x, then x^0 (nothing that x^0 = 1):

4x^2 - 3x + 5

The "leading coefficient of the polynomial) is the coefficient of the highest x power, which here is x^2:  4.

If n equals 5 and b equals 4 what is n + b * 5​

Answers

Answer:

25

Step-by-step explanation:

Given,

n = 5

and, b = 4

Equation:

n + b × 5

= 5 + 4 × 5

= 5 + 20

= 25 (Ans)

"A parabola has the equation y=3x^2+ 6x- 12 . What are the coordinates of the vertex? (You must solve by factoring)!!!!!" I NEED THE ANSWER TO THIS FAST WITH STEPS I'm a grade 10 academic student by the way

Answers

y = 3x ^ 2 + 6x- 12  

(a=3; b=6; c= -12)

• Ta có Δ=b^2 -4ac

             = 6^2 -4*3*( -12)

             =180

• X= (-b+√Δ)/2a

              ≈ 3.2

• X= (-b-√Δ)/2a

 ≈ -3.2

Khi đó: y= 948/25

       Và: y= -12/25

Vậy : A(3.2: 948/25)

       B(-3.2; -12/25)

Step-by-step explanat bion :

please help!! will give brainliest

Answers

Answer:

In this question, since order doesn't really matter, we can consider cats and dogs to be the same thing.

So there are a total of 11 animals (5+6).

The first animal can be placed in 11 places.

The second animal can be placed in 10 places.

The third animal can be placed in 9 places.

.

.

.

The eleventh animal can be placed in 1 place. (the last spot, whatever that is)

So this question becomes fairly simple, it's just 11 factorial, which can be written as 11!, or 39916800.

Let me know if this  helps!

If d= the number of dogs ,which variable expression represents the phase below? The sun of the number of dogs and the 6 cats

Answers

Answer:

d + 6

Step-by-step explanation:

Given that :

Number of dogs = d

The sum of the number of the number of dogs and 6 cats is :

This is a straightforward question :

We take the sum of d and 6

Hence, we have

d + 6

Eve got home from school at 2:20 P.M. And played video games for 17 minutes. Then she helped clean the kitchen for 1 hour and 1 minute and spent 1 hour and 7 minutes finishing her homework. What time was it when Eve finished her homework?

Answers

Answer:

4 :45 pm

Step-by-step explanation:

2 : 20 + 17 minutes = 2:37

2:37 + 1hr 1 minute  = 3 : 38

3 : 38 + 1 hr 7 = 4 :45 pm

Determine the quadrant(s) in which (x, y) could be located. (Select all that apply.)

x + y = 0, x = -0, y = 0

0 Quadrant I
Quadrant II
Quadrant III
Quadrant IV
none of these

Answers

None of these because they all are 0
Other Questions
Does the graph shown below represent y as a linear function of x? Gram-negative cell wall contains an outer membrane called the lipopolysaccharide (LPS). This LPS is found in the outer leaflet of the outer membrane. The innermost portion of the LPS is called Lipid A, which is an endotoxin. When are endotoxins released from a bacterial cell? 75%in3What Which of the following was the immediate result of emancipating the serfs in Russia?EasternussiaThe serfs were free to work in shops and factories, leading to immediate urbanization and industrialization.60%alism inope andThe serfs were unable to purchase the land on which they had worked and were poor and discontent.and theDemocracyThe serfs were allowed to vote and participate in the new national, constitutional government.1OThe serfs were so grateful that many volunteered to serve in the Crimea to help bring Russian victory.and the Spread ofactivityand the Spread ofProject (plz help asap)Which enumerated powers does the Constitution grant Congress? (Select all that apply.)a. declare war b. lay and collect and collect taxes c. appoint federal judges d. grant pardons heelppp (no entiendo) what use are the descending branches of glacial plants to them? Solve the inequality and write the solution set using both set-builder notation and interval notation. -3a-15-2a+6 Which access control type would you use to grant permissions based on the sensitivity of the information contained in the objects $975, and there is 7 percent sales tax on the purchase.How much is the sales tax? Which scenario most closely aligns with the ideals of laissez-faire capitalism? WILL GIVE BRAINLIEST PLZ!!! If producers expect the price of a good to decrease in the future, what will happen to the current equilibrium price and quantity of that good? a. The equilibrium price and quantity will both decrease. b. The equilibrium price and quantity will both increase. c. The equilibrium price will increase and equilibrium quantity will decrease. d. The equilibrium price will decrease and equilibrium quantity will increase. Find the area of the kite Is life possible on Mars Part BWrite a short paragraph analyzing Cassius and Brutus in the excerpt from Julius Caesar. Answer these questions in your analysis:What do we learn about the characters as theyre developed in the scene?How do the characters interact?How do the characters develop the theme or advance the plot?TIP: Be sure to include evidence from the text and commentary in your response. What is the process of adding random characters at the beginning or end of a password to generate a completely different hash called? Employers are allowed to use appropriate disciplinary, incentive, or drug-testing programs in the workplace. However, there are some limitations to how these programs can be used to ensure they are not being used to retaliate against employees who report issues. From the options presented, select the answer option that bests represents this philosophy.Select the best option.These programs cannot be used to discourage employees from exercising their right to report injuries and illnesses.These programs can be used to discourage employees from exercising their right to report injuries and illnesses.Rewarding employees for adhering to policies is not permitted.These programs can be used to discipline employees for adhering to safety protocols. Consider the balanced chemical equation . How many moles of H 2O are produced when 1.0 mole of C 2H 6 reacts with excess O 2 Why were many African American investigated by the House Un-American Activates Committee (HUAC)? Which ensation strates the Sum Version12-8-15-12-15-31218115-12-13-15)o 12-8-15-18.1512-8-15-12-31 15 On January 2, 2020, Orange Corporation purchased equipment for $300,000 with an ADS recovery period of 10 years and a MACRS useful life of 7 years. Section 179 was not elected. MACRS depreciation properly claimed on the asset, including depreciation in the year of sale, totaled $79,605. The equipment was sold on July 1, 2021, for $290,000. As a result of the sale, the adjustment to taxable income needed to arrive at current E & P is:_________a. No adjustment is required. b. Increase $49,605. c. Decrease $79,605. d. Decrease $49,605,