the distance between the points (-1,3) and (2,-1) is?

Answers

Answer 1

Answer:

It is 5.83 units

Step-by-step explanation:

[tex]{ \bf{length = \sqrt{ {(x_{1} - x _{2} ) }^{2} + {(y _{1} - y_{2})}^{2} } }}[/tex]

x1 is -1

x2 is 2

y1 is 3

y2 is -1

[tex] = \sqrt{ {( - 1 - 2)}^{2} + { \{3 - ( - 2) \}}^{2} } \\ \\ = \sqrt{9 + 25} \\ = \sqrt{34} [/tex]


Related Questions

9 is multiplied by the cube of a number

Answers

Answer:

[tex] 9\times {y}^{3} [/tex]

this should be

[tex]9 {y}^{3} [/tex]

The expression for 9 is multiplied by the cube of a number will be 9X³.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that 9 is multiplied by the cube of a number. The expression can be written by assuming that the number is x.

Expression = 9 x Cube of a number

Expression = 9 x ( X )³

Expression = 9X³

Therefore, the expression for 9 multiplied by the cube of a number will be 9X³.

The complete question is given below:-

9 is multiplied by the cube of a number then write an expression for that.

To know more about an expression follow

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PLEASEE!! do at least one of the problems and show work!!!

For #8 and #9, fill in the missing information for the following trapezoids. SHOW YOUR WORK to solve for the missing value.

8.
height = 19.8 cm
b1 = ________
b2 = 14.4 cm
area = 401.94 cm2



9.
height = ________
b1 = 20 cm
b2 = 21 cm
area = 205 cm2

Answers

Step-by-step explanation:

8. b1 = (2×401.94)/19.8 - 14.4

= 40.6 - 14.4 = 26.2 cm

9. h = (2×205)/(20+21)

= 410/41

= 10cm

put the following equation of a line into slope intercept form simplifying all fractions 5x + 2y = -6 ​

Answers

Answer:

The general equation of a slope-intercept form is as below;

[tex]y = mx + c[/tex]

m » slope / gradient

c » y - intercept

x » x - intercept

Since our equation is 5x + 2y = -6, make y the subject:

[tex]5x + 2y = - 6 [/tex]

subtract 5x from either sides:

[tex](5x + 2y) - 5x = - 6 - 5x \\ 2y = - 5x - 6[/tex]

apply the division rule of equality:

[tex] \frac{2y}{2} = \frac{ - 5x}{2} - \frac{6}{2} \\ \\ { \boxed{ \boxed{answer : \: y = - \frac{5}{2} x - 3}}}[/tex]

slope » -5/2

y - intetcept » -3

Whats the answer and the steps
2(3x-4)

Answers

Answer:

-24

Step-by-step explanation:

2(3x-4)

6x-8

A sample is taken from all students in the art department. Students who wear
glasses are excluded. What is this an example of?
A. Selection bias
B. Nonselection bias
C. Nonresponse bias
D. Response bias
SUBMIT

Answers

Answer:

A. Selection Bias

Step-by-step explanation:

Selection bias is the bias introduced by the selection of individuals, groups, or data for analysis in such a way that proper randomization is not achieved, thereby ensuring that the sample obtained is not representative of the population intended to be analyzed. This is represented by choosing the students without glasses.

Answer:

selection bias

Step-by-step explanation:

i got it right

Carla bought a crate of red and green apples for her bakery. The crate had 140 red apples, which were 40% of the apples in the crate. How many apples were in the crate?

Answers

Answer:

350

Step-by-step explanation:

Do 140/0.4=350

Answer:

350 apples

Step-by-step explanation:

a = total number of apples in the crate

a* 40% = number of red apples

a * .40 = 140

Divide each side by .40

a * .40/.40 = 140/.40

a =350

10.
What is the volume of the rectangular prism?
3.in.
4 in.
52 in.

Answers

Answer

(3.5 times 5.25) times 4

Step-by-step explanation:

then convert the decimal to a fraction.

IF ONE THIRD OF THE SCHOOL STUDENTS LIKE MATHEMATICS AND 400 STUDENTS DO NOT LIKE MATHEMATICS , THEN HOW MANY STUDENTS DOES THE SCHOOL HAVE ?
A. 600 B. 800
C. 200 D. 1000

Answers

Answer:

There are 600 students in this school.

Step-by-step explanation:

Let p represent the total population of the school.

Then (1/3)p represents the number of students who like math.  Subtracting this (1/3)p from p gives an expression representing those who do not like math:  

p - (1/3)p = (2/3)p

400 students do not like math, so (2/3)p = 400.

Solve this for p by multiplying both sides by (3/2):

(3/2)(2/3)p = (3/2)(400), which simplifies to p = 600.

There are 600 students in this school.

where does 0.5 goes on a real number line​

Answers

5 points after 0, and in between 0 and 1 in the middle

What is the solution set to this equation?
log4 (x + 3) + log4x =1

A. x=0
B. x=1
C. x=1 and x= -4
D. x=-3 and x=0

Answers

Answer:

B

Step-by-step explanation:

Using the rules of logarithms

log x + log y = log (xy)

[tex]log_{b}[/tex] x = n , then x = [tex]b^{n}[/tex]

Given

[tex]log_{4}[/tex] (x + 3) + [tex]log_{4}[/tex] x = 1 , then

[tex]log_{4}[/tex] x(x + 3) = 1

x(x + 3) = [tex]4^{1}[/tex] = 4

x² + 3x = 4 ( subtract 4 from both sides )

x² + 3x - 4 = 0 ← in standard form

(x + 4)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 1 = 0 ⇒ x = 1

However, x > 0 , thus x = 1

PLEASE HELP FAST!! I CANNOT GET THIS WRONG!!!!
Makayla and David work at a furniture store. Makayla is paid $230 per week plus 7.5% of her total sales in dollars, x, which can be represented by g(x)=230+0.075x. David is paid $321 per week plus 4% of his total sales in dollars, x, which can be represented by f(x)=321+0.04x. Determine the value of x, in dollars, that will make their weekly pay the same.

Answers

Answer:

6

Step-by-step explanation:

you kna mean?

Please help me I’ll give a brainliest! Even if you are only able to do one of them it help because I don’t understand how to do it!!!

Answers

Answer:

The x which is not in the domain of the function is the root of the denominator

6) x+3=0, x=-3 is the x which is not in the domain of the function

7) |2x+5|=0, x=-5/2 is the x which is not in the domain of the function

8) x^2-16=0, x=±4 are the x which are not in the domain of the function

3 attempts remaining.
150 moths lived in a lab. Each week, some moths died, and about 1/5 survived . How many moths were still alive after 2 weeks?

Answers

6 moths were alive
To find the # of moths that survived the first week, you do 150 / 5 and you get 30. Do the same thing again with 30 and you get 6

Factoring binomials with the difference of squares

Answers

Answer:

Step-by-step explanation:

Find the equation of the line that contains the point (1,-5) and has a slope that is undefined. Express the equation using either the general form or the slope-intercept form of the equation of a line.
The equation of the line is

Answers

Answer:

x=1

Step-by-step explanation:

Since the slope is undefined, it's of the form x=a and since it passes through (1,-5) the equation is x=1

The equation of the vertical line in slope-intercept form is: x = 1.

What is the Equation of a Vertical Line?

A vertical line has an undefined slope and therefore has no y-intercept. the equation of a vertical line is therefore expressed as, x = a, where a is the x-intercept, which is the value of x of the point where the vertical line intersects the x-axis..

Given the point (1, -5), since the line has an undefined slope, the equation in slope-intercept form would be: x = 1.

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You are making a smoothie that calls for 1/4 cup of yogurt. This only makes enough for 1 person and we need enough for 6 total people. How much
yogurt should you add

Answers

Answer:

Step-by-step explanation:

1 2/4

Well an easy way to solve this would be multiply it by 6. 1*6=6 and 4*6=24.

That would be enough for 6 people. Or you could do. 1/4+1/4+1/4+1/4+1/4+1/4 and get the same answer.

Hope this helps and if possible brainliest please?

If a man earns 90cents every 3 minutes and he works for a day shift of 5hours how much will he earn in that time?

my answer is 9000cents per 5 hours which is also $90 per 5 hours

Answers

Answer:

It is 9000 cents or $90 total for 5 hours

Step-by-step explanation:

Your answer is correct, it would be 9000 cents or 90 dollars

Equation : -2 (4g - 3) = 30

Answers

Answer:

g = -3

Step-by-step explanation:

-2 (4g - 3) = 30

-8g + 6 = 30

-8g = 24

g = -3

Answer:

[tex] \boxed{g = -3} [/tex]

Step-by-step explanation:

[First, distribute the factored term on the left side of the equation (distribution property of equality)]

-2 ( 4g – 3 ) = 30 →

-2 ( 4g ) – -2 ( 3 ) = 30 →

-8g + 6 = 30 →

[Next, subtract 6 from both sides (subtraction property of equality)]

-8g + 6 – 6 = 30 – 6 →

-8g = 24 →

[Finally, divide both sides by -8 to cancel out the coefficient of -8 in -8g and reduce it to solve for g (division property of equality)]

-8g / -8 = 24 / -8 →

g = -3

I would like to know how to solve these sort of questions

Answers

Answer:

Step-by-step explanation:

10) First find the capacity of the swimming pool.

Volume of the swimming pool= length * depth  *width

                                                 = 15 * 1.5 * 5

                                                  = 112.5 cubic meter

1 cubic meter= 1000 liters

112.5 cubic m = 112.5* 1000 = 112,500 liters

Quantity of salt added to every 10 000 liters = 2 Kg

Quantity of salt added to  112,500 liters =  [tex]\dfrac{2}{10000}*112500[/tex]

       = 22.5 Kg

how does the surface area of a cone change if the radius doubles?
how would you solve this algebraically?

Answers

Answer:

it changes because the radius has expanded

1.) -6v²w³ (v² - 11v²w⁵ + 6w⁴)

2.) -10x⁴y⁴ (x⁴ - 4x⁴y⁴ + 4y³) ​

Answers

1) -6v^4w^3 + 66v^4w^8 - 36v^2w^7

2) -10x^8y^4 + 40x^8y^8 - 40x^4y^7

Which fraction on number lin is equal to 3

Answers

Answer:

12/4

Step-by-step explanation:

12/4

= 3/1

= 3

So, 12/4 = 3

which number has a 3 that is ten times greater than the 3 in 513

Answers

Answer:

5130

Step-by-step explanation:

You just multiply 513 by 10 to get 5130.

You can check this answer by just seeing if it fits the requirements, which it does. Making it the correct answer.

Y'ALL, WOULD A KIND SOUL PLEASE PLEASE HELP ME???!!!!!!!!!!! im running out of points

Complete the two-column proof below. The ‘reasons’ are already given, so only the mathematical ‘statements’ need to be completed.

show how you got your answer so I can see if it makes any sense!!!

Answers

1. ∠A and ∠B are complementary

2. ∠A + ∠B = 90° and ∠B + ∠C = 90°

3. ∠A = 90° - ∠B

4. ∠C = 90° - ∠B

5. ∠A ≅ ∠C

[tex]\sqrt{9x^2[/tex]

Answers

Answer:

3x

Step-by-step explanation:

[tex] \sqrt{9 {x}^{2} } [/tex]

[tex] \sqrt{9} \sqrt{ {x}^{2} } [/tex]

[tex] \sqrt{ {3}^{2} } \sqrt{ {x}^{2} } [/tex]

[tex] \sqrt{ {3}^{2} } x[/tex]

[tex] = 3x[/tex]

) Kim made $157.50
for 7 hours of
babysitting. What is
her hourly pay?

Answers

Answer:

$22.50 I believe...

Step-by-step explanation:

157.50 divided by 7

??

Answer:

$22.50 per hour

Step-by-step explanation:

157.50 = 7x

157.50 / 7 = 22.5

22.5/hour

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Use the distributive property to write an equivalent expression.
8(3v+3w-2)

Answers

24v+24w-16
I multiplied all the numbers inside the parenthesis to 8, so (8 x 3w),(8 x 3v),(8 x -2). Basically Distrbutive property is you distribute the 8 into the numbers inside the parenthesis and by distribute you just multiply. Lemme know if this is the answer you were looking for!

Answer:

8(3v+3w-2)=(8×3v+8×3w-8×2)

Step-by-step explanation:

8×3v=24v.

8×3w=24w. [24v+24w-16]=(8×3v+8×3w-2×8)

8×(-2)=-16.

Write the rational numbers whose multiplicative inverse are themselves​

Answers

Answer:

the rational numbers whose multiplicative inverse are themselves are 1& -1.

hope it helps .stay safe healthy and happy.

tim x: 3x(x-2) + 2(2-x)=0

Answers

Answer:

Assuming this is the full problem.

3x^2-8x+4

Step-by-step explanation:

Find the equation of the line that has the given properties. Express the equation in slope-intercept form.
Slope = -9; Y-intercept = 6
What is the equation of the line?
y =

Answers

Answer:

y = -9x + 6

Step-by-step explanation:

Slope-intercept form: y = mx + b

m = slopeb = y-intercept

Therefore, the equation is y = -9x + 6.

Answer:

y = -9x + 6

Step-by-step explanation:

Slope-intercept form: y = mx + b where m = slope and b = y-intercept

Our slope is -9 and our y-intercept is 6

Therefore our equation is y = -9x + 6
Other Questions
Multiply (2a-5)(4a-7) Simplify your answer On a number line is 7/3 located between 2 and 3? Conflict- A. 4 types B. Internal C. External List a few principles you would like to cultivate and describe your plan of action for cultivating them. Solve the inequality. Graph the solution - 30 points What does the underlined word mean in the following sentence?Ils sont arrivs en retdO TheyO HeO SheO One jericho's status as the frist city with a wall indicates that? it c it had a government that could organize construction project. The GCF of two numbers is 3.Their LCM of the two numbers is less than 20.Which could not be the two numbers? Which propaganda technique is the presentation of biased information that only offers oneperspective on a given subject?A. StereotypingOB. Card stackingC. Circular reasoningD. Bandwagon Simon is comparing the communities of living things that live in two bodies of water a long river, and the ocean bay just beyond the mouth of the river.Comparing which of these abiotic factors would be most useful for Simon to explain the differences in the communities? Assume that the water isunaffected by pollutionAthe salinity of the waterOB .the volume of water in each ecosystemC. the rate of evaporation of the waterDthe sediments that are deposited on the river bottom or ocean floorReview progress Which statement best describes science?A. Branch of knowledge that studies the natural world to gain knowledge and understanding.B. Branch of knowledge that studies various societies to gain knowledge and understanding.C. Branch of knowledge that studies interactions between living things to gain knowledge and understanding.D. Branch of knowledge that studies pattern, quantity and arrangement to gain knowledge and understanding. Which number is the largest? Citydog Screen Printers received two orders for a t-shirt designed for a math symposium. The first order was for 40 shirts at a total cost of $295 and the second order was for an additional 80 shirts at a total cost of $565. Each order included a shipping and handling charge.1.Write the linear equation that models the equation?2.What is the cost per T-shirt?3.What is the standard shipping and handling bag? (7 - 1) to the 2 power plus 2 and to the 4 power - 8 Determine the supplement of each angle measure.63 Will Mark Brainliest, PLS HELP! Use the image below to answer the question.The illustration shows the mitochondrial intermembrane space. Molecules enter and exit enzymes. Molecule upper N upper A upper D upper H passes through enzyme upper N upper A upper D upper H Reductase releasing upper H superscript + baseline and upper N upper A upper D superscript + baseline. A blue arrow starts at upper N upper A upper D superscript + and goes through enzyme Ubiquinone then enzyme Cytochrome Reductase, an upper H superscript + baseline is released. The arrow continues through enzyme Cytochrome c and enzyme Cytochrome Oxydase, another upper H superscript + baseline is released. The formula 2 upper H + one-half upper O subscript 2 baseline is to the left of enzyme Cytochrome oxydase with an arrow pointing to the other side. The arrow meets with the arrow from upper N upper A upper D superscript + baseline at upper H subscript 2 baseline upper O. To the right is upper A upper T upper P synthase, upper A upper D upper P + upper P subscript 1 baseline have an arrow going under upper A upper T upper P synthase, an upper H superscript + baseline arrow points to the arrow, the result is upper A upper T upper P.Which step of cellular respiration is shown in the image?glycolysislactic acid fermentationelectron transport chainKrebs cycle The expression 2x+ ax + bx-30 is divisible by x + 2 and leaves a remainder of -35 when divided by 2x-1. Find the values of the constants a and b.I will give brainliest to correct answer What is the equation of a line parallel to y=1/3x-4 that passes through (9,8)? 9.1 x 105 7.2 x 105= The disease causes a loss of ___ in the fingers. a.underwentb.productivec.tragic d.sensation