What's the distance between -19 and 82?

Answer:

B.  [tex]x = -4\,\lor \,x = -1[/tex]

Step-by-step explanation:

Let [tex]\sqrt{-4-5\cdot x} = x[/tex], we solve for [tex]x[/tex] by algebraic means.

1) [tex]\sqrt{-4-5\cdot x} = x[/tex] Given

2) [tex]-4-5\cdot x = x^{2}[/tex] Definition of power/Symmetry of equality

3) [tex]x^{2}+5\cdot x + 4 = 0[/tex] Compatibility with addition/Commutative and associative properties/Existence of additive inverse/Modulative property

4) [tex](x+4)\cdot (x+1) = 0[/tex]         [tex]x^{2}+(a+b)\cdot x +a\cdot b = (x + a)\cdot (x+b)[/tex]

5) [tex]x = -4\,\lor \,x = -1[/tex] Result

Hence, the correct answer is B.

Answer:

n ε{-2,-1,0} with n being integer

Answer:

[tex]\frac{10\sqrt{6} }{3}[/tex] and [tex]\frac{11\sqrt{3} }{3}[/tex]

Step-by-step explanation:

(a)

A = [tex]\frac{1}{2}[/tex] × 4[tex]\sqrt{2}[/tex] × [tex]\frac{5}{\sqrt{3} }[/tex]

   = 2[tex]\sqrt{2}[/tex] × [tex]\frac{5}{\sqrt{3} }[/tex]

   = [tex]\frac{10\sqrt{2} }{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ← rationalise the denominator

= [tex]\frac{10\sqrt{6} }{3}[/tex] units²

(b)

Using Pythagoras' identity in the right triangle

let hypotenuse be h , then

h² = (4[tex]\sqrt{2}[/tex] )² + ([tex]\frac{5}{\sqrt{3} }[/tex] )²

    = 32 + [tex]\frac{25}{3}[/tex]

    = [tex]\frac{96}{3}[/tex] + [tex]\frac{25}{3}[/tex]

    = [tex]\frac{121}{3}[/tex] ( take the square root of both sides )

h = [tex]\sqrt{\frac{121}{3} }[/tex] = [tex]\frac{11}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ← rationalise the denominator

h = [tex]\frac{11\sqrt{3} }{3}[/tex]

Question

To express ​7.5 % as a​ decimal, _______, ___________ and remove the percent sign.

▼ move the decimal point  [two] [three] [one] places to the [left] [right]

▼ leave the number as it is.

▼ remove the dollar sign.

▼ divide by 100.

Answer:

▼ move the decimal point  [two] places to the [left]

▼ divide by 100.  

Step-by-step explanation:

Given

[tex]Number = 7.5\%[/tex]

Required

Express as decimal [Select all correct options]

From the list of given options, the correct options are:

▼ move the decimal point  [two] places to the [left]

▼ divide by 100.  

To prove that the options are correct:

(1)

▼ move the decimal point [two] places to the [left]

7.5% becomes 0.075%

▼ Remove the percent sign

0.075% becomes 0.075

So:

[tex]7.5\% = 0.075[/tex]

(2)

Divide by 100

7.5% when divided by 100 is: 0.075%

Remove the % sign, we have: 0.075

Answer:

F = 31

Step-by-step explanation:

70+50=125

180-125=55

the last angle of the triangle is 55.

The last angle of the triangle and the equation make up to 180 so.

55+4f+1=180

F=31

Answer:

[tex]x = 9.9[/tex]

[tex]y= 7[/tex]

Step-by-step explanation:

Given

See attachment for triangle

Required

Find x and y

Considering  [tex]\theta = 45[/tex]

From the attached triangle, length x is the hypotenuse and length y is the adjacent

Solving for x

[tex]Sin\theta = \frac{Opp}{Hyp}[/tex]

[tex]Sin\theta = \frac{7}{x}[/tex]

So, we have:

[tex]Sin45 = \frac{7}{x}[/tex]

[tex]x= \frac{7}{Sin45 }[/tex]

[tex]x = \frac{7}{0.7071}[/tex]

[tex]x = 9.9[/tex]

Solving for y

Considering  [tex]\theta = 45[/tex]

[tex]Tin\theta = \frac{Opp}{Adj}[/tex]

So, we have:

[tex]Tin45= \frac{7}{y}[/tex]

[tex]y= \frac{7}{Tan45}[/tex]

[tex]y= \frac{7}{1}[/tex]

[tex]y= 7[/tex]

The value of x and y is 9.9 and 7.

Since theta is 45 degrees

So, we know that

Sin theta = opp/hyp

Sin theta = 7 /x

x = 7 / 0.7071

= 9.9

Now the value of Y should be

Tin theta = opp/hyp

y = 7 \tan 45

= 7 /1

= 7

Therefore, we can conclude that The value of x and y is 9.9 and 7.

Learn more about length here: https://brainly.com/question/19021872

Answer:

[tex]\frac{2x^2+5x-14}{x-2}=(2x+9)+\frac{4}{x-2}[/tex]

Step-by-step explanation:

Given rational expression is,

[tex]\frac{2x^2+5x-14}{x-2}[/tex]

x - 2) 2x² + 5x - 14(2x + 9

         2x² - 4x

                  9x - 14

                  9x - 18

                          4

Therefore, [tex]\frac{2x^2+5x-14}{x-2}=(2x+9)+\frac{4}{x-2}[/tex] is the answer.

Answer: $117,000

Step-by-step explanation:

The maximum that Arianna may borrow is 2.5 times her annual income.

First step therefore, would be to calculate her annual income:

= 900 * 52 weeks

= $46,800

She may borrow 2.5 times this:

= 46,800 * 2.5

= $117,000

Answer:

Here are what they equal in their simplest forms!

Step-by-step explanation:

Sin D & Cos E were originally equal to 13 -/3 over 26

-

Sin E & Cos D were originally equal to 13/26

-

Hope I was able to help!

Answer:

sin D = FE/DE = 13√3 /26 = √3 /2

sin E = DF/DE = 13/26 = ½

(sin E = cos D)

cos D = DF/DE = 13/26 = ½

cos E = EF/DE = 13√3 /26 = √3 /2

(sin D = cos E)

Answer:

Weekly deposit= $18.42

Step-by-step explanation:

Giving the following information:

Number of weeks= 18

Total amount of money= $331.56

She deposited the same amount of money each week.

To calculate the weekly deposit, we need to divide the total savings by the number of weeks:

Weekly deposit= 331.56 / 18

Weekly deposit= $18.42

Step-by-step explanation:

content://com.cryptotab.android.FileProvider/images/screenshot/1615820475640483392397139554304.jp

Answer:

x = 22

Step-by-step explanation:

19+23=2X-2

42 = 2x - 2

-2x = -2 - 42

-2x = -44

x = 22

hope this helps

Answer:

16(x + 3)

4(7x + 8y)

w(11 + h)

Step-by-step explanation:

16x + 48

The greatest common factor of 16 and 48 = 16

Hence, expressing 16x + 48 in factored form:

16x + 48 = 16(x + 3)

28x + 32y

Greatest common factor of 28 and 32 = 4

Hence,

28x + 32y = 4(7x + 8y)

11w + hw

11w + hw = w(11 + h)

Answer:The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Step-by-step explanation:

Answer:

b) 500

16x = (141)^2 - (109)^2

or, 16x = 19881 - 11881

or, x = 8000/16=500

Question 5

Flat fee = $6

Question 6

The group should charge $65 for 15 bags of leaves.

Question 7

The relationship between the amount charged and the number of bags filled is linear.

Answer:

f(-1) = 1

Step-by-step explanation:

Are you missing a number after the negative in f(-)?

If so, let me solve for f(-1) so substitute in the n with a -1 so f(-1) = 5(-1) + 6

so f(-1) = -5 + 6 so f(-1) = 1

Answer:

$3,890

Step-by-step explanation:

The computation of the number of people in town registered to vote is shown below;

= People voted × registered to vote percentage

= 5,985 × 65%

= $3,890

Hence, the number of people in town registered to vote is $3,890

Answer:

Farm c

Step-by-step explanation:

Farm C offers the lowest price for peaches at 70 cents per pound.

Answer:

Step-by-step explanation:

either 10 or 6 heres this

Answer: The answer is c

Explanation:

Answer:

A. 7/14, 2/5, 32%, and .25

Answer:

2 years

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 7%/100 = 0.07 per year,

then, solving our equation

t = 84 / ( 600 × 0.07 ) = 2

t = 2 years

The time required to

accumulate simple interest of $ 84.00

from a principal of $ 600.00

at an interest rate of 7% per year

is 2 years.

Answer:

Step-by-step explanation:

perp. -3

y - 1 = -3(x + 2)

y - 1 = -3x - 6

y = -3x - 5

Answer:

Try C it probably is your answer

Answer:

G. <3 and <5 hope this helps

Answer:

G

Step-by-step explanation:

Answer:

arc XY = 46°

Step-by-step explanation:

the arc of an inscribed angle is equal to 2 x the inscribed angle

mXY