-
The distance between (5,6) and (-3.8) is 8.2.
True
False

Answers

Answer 1

Answer:

True

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

Point (5, 6)

Point (-3, 8)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]:                                                         [tex]\displaystyle d = \sqrt{(-3 - 5)^2 + (8 - 6)^2}[/tex][√Radical] (Parenthesis) Subtract:                                                                   [tex]\displaystyle d = \sqrt{(-8)^2 + (2)^2}[/tex][√Radical] Evaluate exponents:                                                                      [tex]\displaystyle d = \sqrt{64 + 4}[/tex][√Radical] Add:                                                                                                 [tex]\displaystyle d = \sqrt{68}[/tex][√Radical] Simplify:                                                                                           [tex]\displaystyle d = 2\sqrt{17}[/tex]Approximate:                                                                                                     [tex]\displaystyle d \approx 8.24621[/tex]

Related Questions

If 45.78 ÷ 1.7 is written in long division form as long division set up where 17 is on the outside of the division symbol and 45780 is on the inside so that the divisor is written as a whole number, where should the decimal point be placed in the dividend?

Answers

Answer:

The decimal point should be placed after the 0 in 45780.

Step-by-step explanation:


How do i express x^2-3x into the form of (x-m)^2+n.
I will give brainliest to first correct answer

Answers

Well this could be incredibly easy, by just saying [tex]m=0[/tex] and [tex]n=-3x[/tex].

This is a completely valid case but nevertheless seems too easy. The requirements are probably that n and m are integers or natural numbers but since that was not specified such probable requirement ought not to be followed.

Hope this helps :)

factorize given
[tex]4sin ^{2} \alpha - 5 sin \alpha - 6[/tex]

Answers

ok i will help you :)

Step-by-step explanation:

Hey there!

See the attached picture.

Hope it helps!

a right triangle has a hypotenuse of length 2 inches. if one angle is 38°, find the length of each leg

Answers

Answer:

21

Step-by-step explanation:

Hi, Find k, if x+2k is a factor of p(x). p(x) =3x^2+6kx^2-14x-3
Pls answer this and u will be given the brainliest crown !!!
The first person gets it if the answer is correct​

Answers

Answer:

Step-by-step explanation:

First off, your polynomial should be a third degree, not a second degree. That's probably why you didn't get someone to answer this for you already.

If x + 2k is a factor of that polynomial, then by the Zero Product Property

x + 2k = 0 and x = -2k. That means that, by the factor theorem, f(-2k) = 0 (which means that if you plug -2k in for all the x's you get a zero). Therefore,

[tex]3(-2k)^3+6k(-2k)^2-14(-2k)-3=0\\-24k+24k+28k-3=0\\28k-3=0\\28k=3\\k=\frac{3}{28}[/tex]

Answer:

the answer is in picture

-22+(-16)=

Help me please

Answers

Answer:

[tex] - 22 + ( - 16) = - 22 - 16 = -3 8[/tex]

I hope I helped you^_^

Answer:

-38

Step-by-step explanation:

A good trick is to add it normally and just apply the sign

I need help please please help me )):

Answers

Answer:

ok bro I will help you don't worry

Marcus takes 5 steps to move from 8 inches to 113 inches.

Write an equation for this situation then solve for the length of one step.

Hint: Let x = length of one step

Answers

The length of one step is 21 inches

Let x = length of one step

Since Marcus takes 5 steps to move from 8 inches to 113 inches, then the length of one step will be calculated thus:

x = (113 inches - 8 inches) / Number of steps

x = (113 inches - 8 inches) / 5

x = 105 inches/5

x= 21 inches

In conclusion, the length of one step is 21 inches

Read related link on:

https://brainly.com/question/16450098

Is 91.8 a rational or a non-rational number​

Answers

Answer:

Yes. It is a rational number.

605x25 to show the work please

Answers

Answer:

it would be 3025

Step-by-step explanation:

605

x. 5

3025

Answer:

15125

Step-by-step explanation:

   605

   x25

   ------

   3025

+1210

-----------

  15125     

If a/b < c/d with b > 0, d > 0, prove that a+c / b+d lies between the two fractions a/b and c/d .​

Answers

Divide through everything by b :

[tex]\dfrac{a+c}{b+d} = \dfrac{\dfrac ab + \dfrac cb}{1 + \dfrac db}[/tex]

Since a/b < c/d, it follows that

[tex]\dfrac{a+c}{b+d} < \dfrac{\dfrac cd+\dfrac cb}{1 + \dfrac db}[/tex]

Multiply through everything on the right side by b/d to get

[tex]\dfrac{a+c}{b+d} < \dfrac{\dfrac{bc}{d^2}+\dfrac cd}{\dfrac bd+1} = \dfrac{\dfrac cd\left(\dfrac bd+1\right)}{\dfrac bd+1} = \dfrac cd[/tex]

and so (a + c)/(b + d) < c/d.

For the other side, you can do something similar and divide through everything by d :

[tex]\dfrac{a+c}{b+d} = \dfrac{\dfrac ad + \dfrac cd}{\dfrac bd + 1}[/tex]

and a/b < c/d tells us that

[tex]\dfrac{a+c}{b+d} > \dfrac{\dfrac ad + \dfrac ab}{\dfrac bd + 1}[/tex]

Then

[tex]\dfrac{a+c}{b+d} > \dfrac{\dfrac ab + \dfrac{ad}{b^2}}{1 + \dfrac db} = \dfrac{\dfrac ab\left(1+\dfrac db\right)}{1 + \dfrac db} = \dfrac ab[/tex]

and so (a + c)/(b + d) > a/b.

Then together we get the desired inequality.

what is into relation with suitable example​

Answers

Answer:

the relation between the x-values and y-values of ordered pairs

Fill in the blank
А______
is a general mapping or pairing of input values with output value
Your answer:
expression
equation
relation
inequality
derivative

Answers

Inequality hi how h day?

3729*846+289*3729-3729*135 can be solved using which property​

Answers

Answer:

BODMAS

the answer is 3,729,000

Have a good day !

How do you calculate frequency? If there are 138 bright white phones out of 1301 total phones, how do I calculate the frequency?

Answers

300000000000000000000000

Solve: –36 x 72 + 64 x (–72)
And mention the property
Closure/Commentative/Associative
Explain your answer and gain 20 points.

Answers

Step-by-step explanation:

[tex] - 36 \times 72 + 64 \times ( - 72)[/tex]

first carry out the multiplication operation:

[tex] = ( - 36 \times 72) + (64 \times - 72) \\ = - 2592 + ( - 4608)[/tex]

then addition operation:

[tex] = - 7200[/tex]

Answer:

[tex] - 36 \times 72 + 64 \times ( - 72) \\ - 2592 + ( - 4608) \\( - 7200)[/tex]

Marissa earns $1,000 after taxes twice a month. Marissa's monthly bills are $1,200. Marissa deposits 40% of her remaining monthly income into a savings account and annually saves:

Answers

She saves $3,840 annually into savings account

1. Marissa earns $1,000 after taxes twice a month

This means Marissa earns $2,000 ($1000 x 2) after deduction of taxes

2. Marissa's monthly bills are $1,200.

The monthly bills means expenses that Marissa incurred during the month.

3. Marissa deposits 40% of her remaining monthly income into a savings account

The balance of Marissa earnings per month after deduction of his expenses (bills) is $800 ($2,000 - $1,200).

She deposits 40% of $800 into a savings account.

= 40% x $800

= $320

So, she is saving $320 out of the remaining $800 she has per month.

4. Marissa annually save?

She saves $3,840 annually ($320 x 12 months) into savings account.

However, she has a disposable income of $480 per month, equivalent to $5,760 per annum.

See related question here https://brainly.com/question/18917500

A man bought a car for Naira 120000 and later sold it at a loss of 6%calculate the selling price​

Answers

Answer:

7200

Step-by-step explanation:

Formula: Loss = C.P. – S.P. Remember: Loss or Profit is always computed on the cost price.

6% of 120000=7200

Answer the questions by drawing on the coordinate plane below. A) Draw the image of □PQR after a rotation of 180° about the origin. Label the image □ P'Q'R. B) Draw the image of □ PQR after a reflection across the x-axis. Label the image □P'Q'R. (Will Mark Brainliest. Show your work to get Brainliest. ​

Answers

Answer: See the attached image below

==========================================================

Explanation:

Part A

The rule for a 180 degree rotation about the origin is

[tex](x,y) \to (-x,-y)\\\\[/tex]

The x and y values flip in sign from positive to negative, or vice versa.

A point like P(1,-1) will move to P ' (-1, 1) as shown in the first diagram. Points Q and R follow the same idea.

Side note: It doesn't matter if we rotate clockwise or counterclockwise. We'll end up at the same result. This only works for 180 degree rotations.

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

Part B

When we apply an x-axis reflection, we apply this rule

[tex](x,y) \to (x,-y)\\\\[/tex]

This rule is nearly the same as the previous rule, but this time the x coordinate stays the same.

For example, the point P(1,-1) moves to P ' (1, 1)

The same applies to points Q and R as shown in the second diagram.

The quadratic equation y = - 16t^2+ 56t+ 2 represents the height of a projectile,
y, in feet, at a particular time, t, in seconds.
For what interval or intervals of time will the projectile be above 26 feet?

Answers

Answer:

0.5 < x < 3

or (0.5, 3)

Step-by-step explanation:

-16t² + 56t + 2 = 26

Subtract both sides by 26

-16t² + 56t + 2 = 26

                 -26   -26

-16t² + 56t - 24 = 0

Divide both sides by -8 to simplify

(-16t² + 56t - 24)/8 = 0/8

2t² - 7t + 3 = 0

Factor

(x - 3)(2x - 1) = 0

Do this to find the x's

x - 3 = 0

 + 3  +3

x = 3

2x - 1 = 0

    + 1  + 1

2x = 1

2x/2 = 1/2

x = 0.5

0.5 < x < 3

This means the intervals will have to be between 0.5 and 3 seconds

the mean of seven numbers is 15. when three numbers are added, the mean of ten numbers becomes 12. find the mean of the three numbers.​

Answers

Answer:

3 is the value I guess because with seven it becomes 15 where as with 10 it become 12 so there is 3 numbers gap

I don't know exactly so I just try

Answer:

13 is the answer

Step-by-step explanation:

How would you solve for f(-x) ?

f(x) = x^2 +3x + 9

Answers

9514 1404 393

Answer:

  f(-x) = x^2 -3x +9

Step-by-step explanation:

Use -x as the argument of the function.

  f(-x) = (-x)^2 +3(-x) +9

  f(-x) = x^2 -3x +9 . . . . . . . . simpify

Write down what you know from the markings

Answers

Answer:

Same makings on the lines and angles indicate they are congruent (have same measure).

As per drawing:

MI = MY as both line segments have same single marking.IC = KC as both line segments have same double marking.m∠M = m∠I as both angles have same angle marking.

hellp mee plzz in these all with proper formula​

Answers

Step-by-step explanation:

the answer is in picture

Which of the following measures the variability of a data set?
A. median
B. MAD
C. mode
D. mean

Answers

Answer:

A

Step-by-step explanation:

The answer is the median because it shows how data are being scattered

The answer is A. Median I know that because I just had that question

Find the slope and the y-intercept of the line. ​

Answers

Answer:

slope=-1/5

y intercept=8

Hope this helps

Step-by-step explanation:

Answer:

Slope = -1/5

y-intercept: 8

Step-by-step explanation:

The line equation is y = mx + b, where m is the slope and b is the y-intercept.

We see that m is replaced by -1/5 and that b is replaced by 8.

Hope this helps!

Madura is 25 years younger than her father. Nadira's mother is two years younger than her father. Together Nadira, her mother and father have a combined age of 78. Work out their ages.

Answers

just solve by yourself

2. The arithmetic mean of a distribution is 5. The second and the third moments about the mean are 20 and 140 respectively. Find the third moment of the distribution about 10.
Please explain the answer and workings. ​

Answers

Step-by-step explanation:

The arithmetic mean of a distribution is 5. The second and the third moments about the mean are 20 and 140 respectively. What is the third moment of the distribution about 10?

Call the random variable x.

Now, define a new variable y = x - 5. Note that x - 10 = y - 5.

So, it is clear that (x-10)^3 = (y-5)^3

Also, note that (y-5)^3 can be expanded as follows:

Expand (y-5)³

Result ; y³-15 y²+75 y - 125

Letting E denote expectation with respect to the random variable x, we see that

E[(y-5)^3 ] = E(y^3) -15 E(y^2) + 75 E(y) - 125

Again, recalling that y = x - 5, have

E(y^3) = 140

E(y^2) = 20

E(y) = E(x) - 5 = 5 - 5 = 0

Thus,

E[(y-5)^3 ] = 140 -15(20) + 75(0) -125 = -285

Finally, note that

E[(y-5)^3] = E[({x-5} -5)^3] = E[(x-10)^3]

So, we get E[(x-10)^3] = -285.

Write the equation of the function graphed below:

x) =x√3
x
3
– 4


f(x) =x√3
x
3
+ 4


f(x) = 2x√3
x
3
+ 4


f(x) = 2x√3
x
3
–4

Answers

Answer:

  (d)  f(x) = 2∛x -4

Step-by-step explanation:

The graph is of a cube root function that has been vertically scaled by a factor of 2 and translated down 4 units. The equation of the function can be written ...

  f(x) = 2∛x -4

Answer:

f(x) = 2x√3

x

3

–4

Step-by-step explanation:

Determine which of the following mappings are functions. If the relation is not a function, indicate why it is not.

Answers

Step-by-step explanation:

1. the first mapping is a function

2. the second mapping is not a function, because: B has 2 relations, C & E have no relations.

3. the third mapping is a function

4. the fourth mapping is not a function, because B has no relation.

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