Given L(-4, 3) and M(-7, -2), what is the length of segment LM?

Answers

Answer 1

Answer:

[tex]d = \sqrt{34}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra II

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

Step-by-step explanation:

Step 1: Define

Point L (-4, 3)

Point M (-7, -2)

Step 2: Find distance d

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

Substitute [DF]:                    [tex]d = \sqrt{(-7+4)^2+(-2-3)^2}[/tex]Add/Subtract:                       [tex]d = \sqrt{(-3)^2+(-5)^2}[/tex]Exponents:                           [tex]d = \sqrt{9+25}[/tex]Add:                                      [tex]d = \sqrt{34}[/tex]

Related Questions

Jenny earned 86 of a possible 138 points on a test. She lost 2 points for each incorrect answer. How many incorrect answers did she have?

Answers

she had 26 wrong answers

-8 + 2/3x + 4 = 2x -5-x
PLEASE FIND WHAT X IS!!! Also, please show steps so I can understand!‍♀️
I will give brainiest to correct answer WITH STEPS!!!

Answers

Answer:

3

Step-by-step explanation:

Let's isolate x on one side.

2x - x - 2/3x = -8+5+4

1/3x=1

x=3

Answer:

X = 3

Step-by-step explanation:

-8 + 2/3x + 4 = 2x - 5 - x

2/3x - 2x - x = -5 + 8 - 4

-1/3x = -1

x = -1 * -3

x = 3

(8+k³-6k⁴)+(4-3k⁴+8k²)​

Answers

(8 + k³ - 6k⁴) + (4 - 3k⁴ + 8k²)

8 + k³ - 6k⁴ + 4 - 3k⁴ + 8k²

(8 + 4) + (8k²) + (k³) + (-6k⁴ -3k⁴)

(12) + (8k²) + (k³) + (-9k⁴)

12 + 8k² + k³ - 9k⁴

Two angles are supplementary if their measures add up to 180°. If one of two supplementary angles is (3x + 7)° while the other is (5x - 11), then x =
A.25
B.21
C.24
D.20
E.23

Answers

Answer:

E. 23

Step-by-step

3x + 7 + 5x - 11 = 180

* add 3x and 5x

8x + 7 - 11 = 180

* do 7-11

8x - 4 = 180

* add 4 to both sides to cancel it out

8x = 184

* divide 8 on both sides to get x alone

x = 23

Write the following in point-slope form.

Answers

Answer:

[tex]\huge\boxed{y-8 = 5(x+1)}[/tex]

Step-by-step explanation:

An equation in point-slope form will be written in the form [tex]y - y_1 = m(x - x_1)[/tex], where a point on the graph is (x1, y1) and the slope is m.

For this equation, all we need to do is substitute the values already given to us, since we know everything needed to write an equation here. All we need is the slope, and one x/y value that's on the graph.

We know the slope is 5, and one point on the graph is (-1, 8), so we can substitute inside the equation.  

[tex]y - y_1 = m(x - x_1)[/tex][tex]y - 8 = 5(x - (-1))[/tex] [tex]y-8=5(x+1)[/tex]

Therefore, our equation for this line in point-slope form is [tex]y-8=5(x+1)[/tex].

Hope this helped!

Which points on this vertical number line best represent the locations of 2.5 and minus 3 over 2 ?

Answers

Answer:

ok listen when looking at the graph the answer is easy its b

Step-by-step explanation:

Answer:

it is B

Step-by-step explanation:

because G and K , g is 2.5 and k -3/2

Mazie bought a bike during a 20% off sale and saved $16. What was the original price?

Answers

Answer:

$80. Which means she spent $64 with the sale, but the original price is $80.

Step-by-step explanation:

16 is 20% of 80

Answer

The answer is $120.00

Options

What was the price of the bicycle when Mazie bought it?

$140.00

$149.80

$130.00

$120.00

Explanation

Multiply the price of the bike by the discount percentage

150 * 0.20 = 30

Subtract the number you just found from the original price

150 - 30 = 120

There is your answer

You could take a shortcut by doing the following

1 - 0.20 = 0.80

Then multiply the original value by the new percentage

150 * 0.80 = 120

Personally I like the first method because it makes more sense.

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What are the solutions to y=5x2−35x+30?
What are the solutions to y=2x2+16x+30?
What are the solutions to y=6x2−48x+42?

Answers

Answer:

0,6

9,8

0,9

Step-by-step explanation:

A human bone is made up of water 1/4 and 9/20 minerals, and the rest is living tissue. What decimal represents the amount of a human bone that is living tissue?

Answers

Answer:

0.3

Step-by-step explanation:

First you need to add 1/4 and 9/20, and you would get 7/10. That only leaves 3/10, which as a decimal is 0.3.

The decimal that represents the amount of a human bone that is living tissue is 0.3

What is the fundamental principle of multiplication?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that human bone is made up of water 1/4 and 9/20 minerals, and the rest is living tissue.

First we need to add 1/4 and 9/20,

Thus we would get 7/10.

That only leaves 3/10, which as a decimal is 0.3.

The decimal that represents the amount of a human bone that is living tissue is 0.3

Learn more about multiplications;

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How do I find x in these equations

Answers

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5) Go....

[tex]17 = 4x + 1[/tex]

[tex]4x + 1 = 17[/tex]

Subtract sides 1

[tex]4x + 1 - 1 = 17 - 1[/tex]

[tex]4x = 16[/tex]

Divide sides by 4

[tex] \frac{4x}{4} = \frac{16}{4} \\ [/tex]

[tex]x = 4[/tex]

_________________________________

6) Go...

[tex]2x - 2 = 16[/tex]

Add sides 2

[tex]2x - 2 + 2 = 16 + 2[/tex]

[tex]2x = 18[/tex]

Divide sides by 2

[tex] \frac{2x}{2} = \frac{18}{2} \\ [/tex]

[tex]x = 9[/tex]

_________________________________

7) Go...

[tex]95 = 7x + 18[/tex]

[tex]7x + 18 = 95[/tex]

Subtract sides 18

[tex]7x + 18 - 18 = 95 - 18[/tex]

[tex]7x = 77[/tex]

Divide sides by 7

[tex] \frac{7x}{7} = \frac{77}{7} \\ [/tex]

[tex]x = 11[/tex]

_________________________________

8) Go...

[tex]78 + 9x - 6 = 180[/tex]

[tex]9x + 72 = 180[/tex]

Subtract sides 72

[tex]9x + 72 - 72 = 180 - 72[/tex]

[tex]9x = 108[/tex]

Divide sides by 9

[tex] \frac{9x}{9} = \frac{108}{9} \\ [/tex]

[tex]x = 12[/tex]

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Two of the vertices of a rectangle are (6,1) and (7,1) . IF the rectangle has a perimeter of 18 units, then what are the coordinates of its other two vertices

Answers

Answer:

(6 , -9) (7, -9)

Or

(6, 11) (7, 11)

Step-by-step explanation:

Given: Two of the vertices of a rectangle are (6,1) and (7,1)

Perimeter= 18 units

To get the value of "x"

The distance between Two point can be calculated as (6-7)=-1

Then x= -1

We can get the value of "y" by using expression for perimeter,

The perimeter P= 2x+2y=18

= 2(-1)+2y= 18

-2+2y=18

2y=18+2

2y= 20

y=10

The "y" coordinate can move up or can move down

y1=( 1-10)=-9

Or

y2=( 1+10)=11

Hence, the two other points are;

(6 , -9) (7, -9)

Or

(6, 11) (7, 11)

Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 5 m and width 3 m. She decides on a scale of 1 to 50. a. What would be the width and length of a scale drawing of Elena's bedroom?

Answers

Answer: Length = 10cm

Width = 6cm

Step-by-step explanation:

First and foremost, we should note that

1 meter = 100 cm.

Therefore,

Length = 5m = 500 cm

Breadth = 3m = 300 cm.

Since Elena wants to make a scale drawing of 1 to 50, then

Length = 500 cm / 50 = 10 cm

Breadth = 300 cm / 50 = 6 cm.

Therefore, the length of the scale drawing will be 10 cm and the width of the scale drawing will be 6cm.

Which of these best represents the rate of change in the volume of the gas sample with respect to the temperature

Answers

Answer: 1/12 ml

Step-by-step explanation:

The rate of change is 1/12 ml / °C.

What is Rate of Change?

The term "rate of change" (ROC) describes the rate at which something changes over time. Thus, it is not the amount of individual changes themselves but rather the acceleration or deceleration of changes (i.e., the rate). Rate of change is a tool used in finance to comprehend price returns and spot trend momentum.

We have graph which shows change in the volume of the gas sample with respect to the temperature.

So, the rate of change is

= (30- 21.5)/ (100- 0)

= 8.5/100

= 85/1000

≈ 1/12 ml / °C

Learn more about Rate of Change here:

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Find the slope of the line passing through the points (-7, 8) and (5.-7).

Answers

Answer:

slope is 15/-12

Step-by-step explanation:

:)

Define the term rational number and give at least one example.

Answers

Answer:

A rational number is a number that can be expressed as a fraction where both the numerator and the denominator in the fraction are integers. The denominator in a rational number cannot be zero. Expressed as an equation, a rational number is a number. a/b, b≠0. where a and b are both integer

Step-by-step explanation:

All rational numbers are algebraic. ...

The quadratic surds (irrational roots of a quadratic polynomial ax2 + bx + c with integer coefficients a, b, and c) are algebraic numbers. ...

The constructible numbers are those numbers that can be constructed from a given unit length using straightedge and compass. ...

Answer:

A rational number can be divided by two integers

1.5~Is a rational number because it = 3/2~

~3 and 2 are both integers~

17+(−8)+(−8) CAN YOU HELP GUY pls

Answers

Answer:

1

Step-by-step explanation:

17 + (-8) + (-8) = 17 + (-16)

                      = 1

If two numbers have same sign, then add and put the sign.

So, add (-8)and (-8), the result will have the sign (-).  -16

If two numbers have different sign, subtract and the result will have the sign of the bigger number.

17 and (-16) have different sign and the bigger number sign is +

So, the result is 1

Easy :PP

Answer~

1

Explination~you would start by adding (-8)+(-8)

-8 + -8

=

-16

Then add 17

-16 + 17

=

1

------------------------------------------------------------------------hope I helped!!

what is the rate of change of the function

enter as a fraction


marking brainlist

Answers

Answer:

The rate of function is: 5/2                            

Step-by-step explanation:

As we know that the rate of change of a function is a ratio that compares the difference between the output values to the difference between the corresponding input values

rate of change = change in y-values / change in y-values

So, all we need is to find the slope between any two points as the slope is basically termed as the rate of change.

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-5,\:18\right),\:\left(x_2,\:y_2\right)=\left(-3,\:23\right)[/tex]

[tex]m=\frac{23-18}{-3-\left(-5\right)}[/tex]

[tex]m=\frac{5}{2}[/tex]

Thus, the rate of function is: 5/2                              

PLEASE HELP! but pleassseee don't answer if you just want the points I'll report you. It's really simple I'm just REALLY not smart​

Answers

Answer:

A) 15x+9x

B) you have to graph

C)yes, all she wants to do is make 90 bucks she can totally do more if she wants

D) you can choose

Step-by-step explanation:

15*12 & 9*12

2. Refer to matrix B and identify the matrix element b11
-3
6
1/2

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the matrix is not given.

The general form of a matrix is:

[tex]b[m*n] =\left[\begin{array}{ccc}b_{11}&b_{12}&b_{13}........b{1n}}\\b_{21}&b_{22}&b_{23}........b{2n}\\b_{31}&b_{32}&b_{33}........b{3n}\\ \\ \\b_{m1}&b_{m2}&b_{m3}........b{mn}\end{array}\right][/tex]

Where m and n represent the [tex]number\ of\ rows\ and\ columns[/tex] respectively.

Notice the position of b11

This means that b11 is at the first column and first row.

Take for instance matrix b is:

[tex]b = \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]

The element at the first row and first column is 1.

Hence

[tex]b_{11} = 1[/tex]

select each expression that is equivalent to 5(n + 4).
A. 5n + 4
B. 5n + 20
C. 15 + 5n + 5
D. 5(n + 3) + 5
E. 5n + 54

Answers

Answer:

B and C and D

Step-by-step explanation:

Answer:

The Answer is B. C. and D.

Step-by-step explanation:

Divide 4 1/4 by 2. ​

Answers

i’m pretty sure it’s 2 1/8

-2²-3(-2)+7

I think it’s 17 but idk

Answers

Answer:

9

−2^2−(3)(−2)+7

=−4−(3)(−2)+7

=−4−(−6)+7

=2+7

=9

a student concluded that the solution to the equation startroot 2x+1 endroot +3=0 is x=4 do you agree? explain why or why not.

Answers

Answer:

X=4

Step-by-step explanation:

Given the equation

√2x+1 + 3= 0

Subtract 3 from both sides

√2x+1 +3 +3 = 0-3

√2x1 = -3

Square both sides

{√2x+1)² =(-3)²

2x+1 =9

2x= 9-1

2x = 8

x = 8/2

x = 4

Hence I agree that the solution is x = 4 based on the explanation above

A robot can complete 3 tasks in hour. Each task takes the same amount of time. 10 a. How long does it take the robot to complete one task? b. How many tasks can the robot complete in one hour? ​

Answers

Answer:

a.20 minutes

b.3 tasks

Step-by-step explanation:

60 divided by 3 = 20

What is the domain of the square root function graphed below?

Answers

Answer:

X is greater than or equal to 3

Step-by-step explanation:

As you Can See the graph Starts at (3, 1) and the point is filled in which mean it includes 3 the graph continues going there for the domain= x-axis is greater than or equal to 3

Answer:

i think its A or B but im not really sure,most likely A =w=

The price of a tv was reduced from $250 to $200. What percent did the price decrease?

Answers

20%
250-200=50
250 x 0.2 =50
so 20%

Make Sense and Persevere Paxton, a summer camp counselor, has a budget of $300 to spend on caps and T-shirts for a summer camp.
plz help this is due soon!!!

Answers

Answer:

9 shirts and 10 caps

Step-by-step explanation:

Buying one t shirt costs 20 dollars, and one cap would cost 12 dollars. If Paxton bought one cap and one shirt, that would cost 32 dollars. If we multiply that by 9, we get 288. So Paxton can buy 9 shirts and 9 caps with 288 dollars. Paxton has 12 dollars left, so Paxton can buy one more cap to entirely spend the budget.

850 projects were entered in the science fair. If 86% of the projects did not receive a ribbon, then how many student projects did receive a ribbon?​

Answers

Answer:

731 of the projects received a ribbon.

Step-by-step explanation:

850 x 0.86 = 731

Hope this helps!

what is the simplified fractional equivalent of the terminating decimal 0.32

Answers

Answer:

8/25

Step-by-step explanation:

Brainliest pls

Answer:

8/25

Step-by-step explanation:

Does the transformation represent a dilation? Why or
why not?
O no, because each vertex is not multiplied by the
same scale factor
O yes, because each vertex is multiplied by 4/3
O yes, because each vertex is multiplied by 2

Answers

Answer: A: no, because each vertex is not multiplied by the same scale factor.

Step-by-step explanation: got it right on Edge 2020!

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