Find the distance between the points: (-1, 5) and (3, -3). In your final answer, include the formula and calculations that you used to find the distance.

Answers

Answer 1

Answer:

[tex]4\sqrt{5}[/tex] units

Step-by-step explanation:

The distance between any two points on the x y plane (a,b) and (c,d) has one of two formulas.  [tex]\sqrt{(a-c)^2+(b-d)^2}[/tex] or [tex]\sqrt{(c-a)^2+(d-b)^2}[/tex]  if you use c-a you have to also use d-b, and the other way around for a-c and b-d.  You can rearrange which order you add though.    So with (-1,5) and (3,3) here is the math

[tex]\sqrt{(3-(-1))^2+((-3)-5)^2} \\\sqrt{4^2+(-8)^2} \\\sqrt{16+64}\\\sqrt{80}[/tex]

You could simplify this to [tex]4\sqrt{5}[/tex]

Let me know if there was anything you didn't understand.


Related Questions

Company A charges a $125 annual fee plus $7 per hour car share fee.
Company B charges $110 plus $10 per hour. What is the minimum number of
hours that a car share needs to be used per year to make company A a better
deal?
A. 6
O Ο Ο
B. 5
C. 9
D. 11
SUBMIT
PREVIOUS

Answers

Answer:

6 hours

Step-by-step explanation:

A: y=125+7x

B: y=110+10x

for A to be a better deal than B, 125+7x<110+10x has to be true

subtract 7x from both sides and subtract 110 from both sides of the inequality: 15<3xdivide by 3: 5<xso x has to be greater than 5, im pretty sure it's 6 hours but it might also be 5 depending on how it's taught for you

Answer:

B 5

Step-by-step explanation:

Company A

total cost = 125+7h  where h is the number of hours

Company B

total cost = 110 + 10h  where h is the number of hours

125 + 7h < 110 + 10h

Subtract 7 h from each side

125 + 7h-7h<110+10h-7h

125 < 110+3h

Subtract 110 from each side

125-110< 110+3h

15 <3h

Divide by 3

15/3 <3h/3

5 <h

More than 5 hours

Which type of triangle has altitudes that form outside the triangle itself?
Select one:
a. acute
b. equiangular
c. obtuse
d. right

Answers

9514 1404 393

Answer:

  c. obtuse

Step-by-step explanation:

For an obtuse triangle, the altitudes from the vertices on either side of the obtuse angle will be drawn outside the triangle.

Given the numbers 30 and 45, find the common factors of the two numbers.​​

Answers

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

Factors of 45: 1, 3, 5, 9, 15, 45

The common factors between the two numbers are 1, 3, 5, 15.

Hope this helps!

Alexa has saved
2/7
of the cost of her trip to the Caribbean. Estimate how much money she
has left to save.


A.3/4 of the cost
B.1/2 of the cost

C.1 1/4 of the cost

D.1/4 of the cost

Answers

Answer:

A 3/4

Step-by-step explanation:

Set up equation to find the percentage 2/7 equals:

Variable x = percentage

2/7 = x/100

Cross multiply:

2 × 100 = 7 × x

200 = 7x

Divide:

28.57142... = x

About 30% (I rounded to 30% because it is a nice number to use when all other numbers end in 5 or 0)

If Alexa has about 30% saved, she will need to save about 70% more. Find the solution that is closest to 70%.

A is 3/4 which comes out to 75%. So far, this sounds like the best answer. Let's check the others just in case.

B is 1/2, or 50% which isn't as close as A was to 70%.

C is 1 1/4 which means 125% needs to be saved. This would mean Alexa is in debt and hasn't saved any money which is not the case.

D is 1/4, or 25%. The trick here is that she's saved about 30% so 25% is closest, but we are looking for how much more she needs to save.

A boat travels 400 kilometers in 9.6 hours (with a constant speed). How much time will it take to travel 138 kilometers? (round to the nearest tenth of an hour)

Answers

Step-by-step explanation:

here's the answer to your question

The sum of 'n' terms of an arithmetic sequence is 4n2+3n. What is the first term, the common difference, and the sequence?

Answers

Answer:

Step-by-step explanation:

If the 2 is an exponent, it should be indicated with a circumflex:  4n^2+3n.

What is the first term?

a₁ = S₁ = 4·1² + 3·1 = 7

:::::

What is the common difference?

a₁ + a₂ = S₂ = 4·2² + 3·2 = 22

a₂ = 22-a₁ = 15

common difference d = a₂ - a₁ = 8

:::::

What is the arithmetic sequence?

The nth term is 7+(n-1)d = 7+(n-1)8 = 8n-1.

a₁ = 8·1-1 = 7

a₂ = 8·2-1 = 15

a₃ = 8·3-1 = 23

...

Please Help I will give you a lot of points if you do!

Answers

Recall that ab   ⇔   ¬ab. So we can write

q ⇒ (pr )   ⇔   ¬q ∨ (pr )

Then the negation of this would be, for instance,

¬(¬q ∨ (pr ))   ⇔   ¬(¬q) ∧ ¬(pr )

…   ⇔   q ∧ (¬p ∨ ¬r )

…   ⇔   (¬pq) ∨ (q ∧ ¬r )

…   ⇔   ¬(p ∨ ¬q) ∨ (q ∧ ¬r )

…   ⇔   (p ∨ ¬q) ⇒ (q ∧ ¬r )

It's impossible to tell what kind of statement your program is expecting, but since there are 5 slots available, my money would be on q ∧ (¬p ∨ ¬r ), so long as ¬p and ¬r are options.

Write the equation of the line for a line that passes through (-2,-4) and (-1, -1).

Answers

Answer:

y = 3x+2

Step-by-step explanation:

First find the slope using the slope formula

m= (y2-y1)/(x2-x1)

   = ( -1 - -4)/(-1 - -2)

   = (-1 +4)/ (-1 +2)

   = 3/1

  = 3

The slope intercept formula is

y = mx+b where m is the slope and b is the y intercept

y = 3x+b

Using the point (-1,-1) and substituting into the equation

-1 = 3(-1)+b

-1 = -3+b

-1+3 = b

2 = b

y = 3x+2

Please help please !!!!

Answers

Answer:

[tex]14<15[/tex]

[tex]0<2x+10<62[/tex]

[tex]-10<2x<52[/tex]

[tex]-5<x<26[/tex]

~OAmalOHopeO


constant of proportionality

Answers

Answer:

4.2

Step-by-step explanation:

Constant of proportionality = y/x = 8.4 / 2 = 4.2

Question
If a triangle has sides of length x x + 2, and x - 4, what is the perimeter of the triangle in terms of x?
О 3х - 6
03x - 2
3x + 2
O 3x + 6

Answers

9514 1404 393

Answer:

  (b)  3x -2

Step-by-step explanation:

The perimeter is the sum of the side lengths:

  P = (x) +(x +2) +(x -4)

  P = (x +x +x) +(+2 -4)

  P = 3x -2

Solve the following equation for x. 12^2 - 36x = 0

Answers

The answer is that X is equal to 4

Becca tried to evaluate the expression
45−(8×3+15

Answers

Answer:

Step-by-step explanation:

45 - (8 x 3 + 15)

45 - (24 + 15)  ---> do parentheses first

45 - ( 39 )

45 -  39

6

The value of the expression Becca should get after simplification is 6.

Given is an expression 45 - (8 × 3 + 15), Becca is trying to solve the same,

To evaluate the expression 45 - (8 × 3 + 15), Becca should follow the order of operations, which is often remembered using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction):

First, calculate the value inside the parentheses: 8 × 3 + 15

= 24 + 15

= 39.

Now, substitute this value back into the original expression: 45 - 39.

Finally, perform the subtraction: 45 - 39 = 6.

So, the value of the expression is 6.

Learn more about expression click;

https://brainly.com/question/34132400

#SPJ3

What is the distance between the points
(-2,5) and (3,7).

Help
(Will make you the brainliest if answer “correctly”)

Answers

(-2,5)(3,7)

Distance:-

[tex]\\ \sf\longmapsto \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{(3+2)^2+(7-5)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{5^2+2^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{25+4}[/tex]

[tex]\\ \sf\longmapsto \sqrt{29}[/tex]

[tex]\\ \sf\longmapsto 5.2[/tex]

Given Points

-2 and 5 (x = -2 , y = 5)

3 and 7 (x = 3 , y = 7)

[tex]\begin{gathered} {\underline{\boxed{ \rm {\red{Distance \: = \: \sqrt{(x_2 - x_1) \: + \: (y_2 - y_1)} }}}}}\end{gathered}[/tex]

[tex] \begin{cases}\large\bf{\blue{ \implies}} \tt \: Distance \: = \: \sqrt{ \bigg(3 - [ - 2] \bigg) \: + \: (7 - 5)}\\ \\ \large\bf{\blue{ \implies}} \tt \: Distance \: = \: \sqrt{ (3 + 2 ) \: + \: (7 - 5)} \\ \\ \large\bf{\blue{ \implies}} \tt \: Distance \: = \: \sqrt{ {5} \: ^{2} + \: {2}^{2} } \\ \\ \large\bf{\blue{ \implies}} \tt \: Distance \: = \: \: \sqrt{25 \: + \: 4} \\ \\ \large\bf{\blue{ \implies}} \tt \: Distance \: = \: \: \ \sqrt{29} \\ \\\large\bf{\blue{ \implies}} \tt \: Distance \: = \: \:5.38 \: \: units \end{cases}[/tex]

F(x, y, z) = (x + yz)i + (y + xz)j + (z + xy)k, Find the divergence of the vector field.

Answers

The divergence of F is

div(F ) = ∂(x + yz)/∂x + ∂(y + xz)/∂y + ∂(z + xy)/∂z

div(F ) = 1 + 1 + 1

div(F ) = 3

The divergence of the vector field is equal to 3

Data;

(x+yz)i(y + xz)j(z+xy)kDivergence of Vector Field

To find the divergence of the vector field, we have to differentiate the i, j and k component of the vector.

[tex]div F = \frac{\delta}{\delta x} (x+yz) + \frac{\delta}{\delta y} (y + xz) + \frac{\delta}{\delta z} (z + xy)\\div F = (1+0)+(1+0)+(1+0)\\div F = 1 + 1 + 1 \\div F = 3[/tex]

The divergence of the vector field is equal to 3

Learn more on divrgence of vector field here;

https://brainly.com/question/4608972

PLS HELP
Let f(x) = -2x - 7 and g(x) = -4x + 6. Find (g o f) (-5)


–6



3



–59



26

Answers

Answer:

-6

Step-by-step explanation:

f(x) = -2x - 7 and g(x) = -4x + 6

Find f(-5)

f(-5) = -2(-5) -7 = 10-7 = 3

The find g(3)

g(3) = -4(3) +6

     = -12 +6 =-6

g(f(-5)) = -6

WILL GIVE BRAINLIEST

Use the distributive property.
5(2x + 7) = [ ? ]x + [ ]

Answers

Answer:

10x +35

Step-by-step explanation:

5(2x+7) = 5*2x + 5*7 = 10x+35

Answer:

10, 35.

Step-by-step explanation:

5(2x + 7)

= 5^2x + 5*7

= 10x + 35

Put the following equation of a line into slope-intercept form, simplifying all fractions.


Thanks In advance

Answers

Answer:

2x+2y=-18

2y=-2x-18

y=-x-9

hope that answers your questipn

dont hesitate to comment for more explanation about this topic.

You are skiing down a mountain with a vertical height of 1250 feet. The distance that you ski as you go from the top down to the base of the mountain is 3350 feet. Find the angle of elevation from the base to the tep of the mountain. Round your answer to a whole number as necessary. ​

Answers

Step-by-step explanation:

here is the answer to your question

Find m∠DFC.

A. 23
B. 167
C. 46
D. 69

Answers

Answer:

A.23

maaf kalosalah !(!)!(!)!(!)!(!)!(!)!(!)!(!)!(!)!

What is the slope-intercept equation of the line below?

Answers

Answer:

y=-5/4x+3

Step-by-step explanation:

y=mx+c

m = (y1-y2)/(x1-x2) =(-2-3)/(4-0) =-5/4

sub the values y=3, x=0 to find c,

3 =-5/4(0) + c

c = 3

Which equation represents the data in
the table?
x 0 1 2 3 4
y -4 -2 0 2 4
F y= x -4
G y= 2x -2
H y = 2x - 4
I y= 4x -4

Answers

Answer:

y = 2x - 4

Step-by-step explanation:

The equations are put in slope intercept form

Slope intercept form: y = mx + b

Where m = slope and b = y intersect

So in order to find the equation of the data represented by the table we will have to find the slope and y intercept

Let's begin!

First let's find the slope

We can find the slope by using the slope formula

m = (y2 - y1) / (x2 - x1) where the x and y values are derived from coordinates from the table

The points chosen may vary but I have chosen the points (0,-4) and (1,-2)

Now that we have chosen the points we will use to find the slope let's define the variables

remember coordinates are written like this: (x,y)

The x value of the second coordinate is 1 so x2 = 1

The x value of the first coordinate is 0

So x1 = 0

The y value of the second coordinate is -2 so y2 = -2

The y value of the first coordinate is -4

So y1 = -4

Now that we have defined each variable let's plug in the values into the formula

Formula: m = (y2 - y1) / (x2 - x1)

Variables: x2 = 1, x1 = 0, y2 = -2, y1 = -4

Substitute values

m = (-2 - (-4) / ( 1 - 0 )

Evaluate

The negative signs cancel out on top and it changes to +4

m = (-2 + 4)/(1-0)

Add top values

m = 2/(1-0)

Subtract bottom numbers

m = 2/1

Simplify fraction

m = 2

So we can conclude that the slope (m) = 2

Now let's find the y intercept or "b"

The y intercept is the value of y when x = 0

If you look at the table when x = 0 y = -4 meaning that the y intercept or "b" is -4

Now that we have found everything let's find the equation of the data represented by the table

The equation is in slope intercept form

y = mx + b

Define variables

m = 2 and b = -4

Substitute values

y = 2x - 4

The equation is y = 2x - 4

Find a​ least-squares solution of A by​ (a) constructing the normal equations for and​ (b) solving for . A ​, a. Construct the normal equations for . nothing nothing ​(Simplify your​ answers.) b. Solve for .

Answers

I dont know math ok 34 oh come on

What is the value of X? HELP

Answers

with no further informations, just go by looking at it.

it's 90°, all other options are too far off

An operation manager at an electronics company wants to test their amplifiers. The design engineer claims they have a mean output of 331331 watts with a variance of 144144. What is the probability that the mean amplifier output would be greater than 332.8332.8 watts in a sample of 4949 amplifiers if the claim is true

Answers

Answer: brother

Step-by-step explanation:

If the two lines below are perpendicular and the slope of the red line is
what is the slope of the green line?
A. -2/5
B. 2/5
C. 5/2
D. -5/2

Answers

Answer:

B. 2/5

Step-by-step explanation:

-4x+3x+2x+x=17
x-4x+3x+2x=13
2x+x-4x+3x=9
3x+2x+x-4x=1

Answers

Answer:

x= 8,5

x=0

X= 2

x= -2

Step-by-step explanation:

find the missing length indicated​

Answers

Answer:

Step-by-step explanation:

192

Answer:

Step-by-step explanation:


Find the face value of the 20-year zero-coupon bond at 4.4%, compounded semiannually, with a price of $8,375.
$45.000
$53.000

Answers

The correct face value will be Option C ($20,000). A further solution id provided below.

Given:

Time,

t = 20 years

Rate,

r = 4.4%

Price

= $8,375

Now,

The yield will be:

= [tex]\frac{4.4}{2}[/tex]

= [tex]1.1[/tex] (%)

Time will be:

= [tex]20\times 2[/tex]

= [tex]40 \ periods[/tex]

As we know the formula,

⇒ [tex]Price \ of \ bond = \frac{Face \ value}{(1+\frac{r}{2} )^{n\times 2}}[/tex]

By substituting the values, we get

                   [tex]8375=\frac{Face \ value}{(1+\frac{0.044}{2} )^{20\times 2}}[/tex]

                   [tex]8375=\frac{Face \ value}{(1.022)^{40}}[/tex]

                   [tex]8375=\frac{Face \ value}{2.3880083}[/tex]

The face value will be:

        [tex]Face \ value = 2.3880083\times 8375[/tex]

                          [tex]=20,000[/tex] ($)

Learn more about face value here:

https://brainly.com/question/14862802

true or false?
help me please

Answers

Answer:

False

Step-by-step explanation:

The point that is equidistant from the vertices of a triangle is called the circumcenter.

9514 1404 393

Answer:

  False

Step-by-step explanation:

The incenter is the center of the inscribed circle, which is tangent to all of the sides of the triangle. The incenter is equidistant from the sides, not the vertices.

_____

Additional comment

The circumcenter is the center of the circumscribing circle. Each of the vertices of the triangle is on the circumcircle, so the circumcenter is equidistant from the vertices.

The incenter is located at the intersection point of the angle bisectors. The circumcenter is located at the intersection point of the perpendicular bisectors of the sides.

Other Questions
Which kind of exercise improves both muscular strength and muscular endurance Anthony steps on a bathroom scale that records his weight at 195 pounds. He immediately steps back onto the same scale, which records his weight at 205 pounds. It is MOST accurate to describe these scales as: Write program to input 4 numbers and print the maximum and minimum using math function (don't use if else).please I need it..... fast Can someone help me with this math homework please! One year josh had the lowest ERA (earned-run average, mean number of runs yielded per nine innings pitched) of any male pitcher at his school, with an ERA of 2.89. Also,alice had the lowest ERA of any female pitcher at the school with an ERA of 3.31 . For the males, the mean ERA was 5.083 and the standard deviation was 0.672. For the females, the mean ERA was 4.032 and the standard deviation was 0.649. Find their respective z-scores. Which player had the better year relative to their peers, josh or alice ? (Note: In general, the lower the ERA, the better the pitcher.) 1. In a group, there were 115 people whose proofs of identity were being verified. Some hadpassport, some had voter id and some had both. If 65 had passport and 30 had both, how many had voter id only and not passport? . Read the passage. In Federal Drug Administration clinical trials, people who added a particular drug to diet and exercise were able to lose weight, as well as lower their blood pressure. This drug was evaluated in two clinical studies involving overweight adults with high blood pressure. The results of the trials showed that 48 percent of people taking this drug lost some of their body weight. The other group in this trial consisted of people who were not taking this medicine, and only 23 percent of them lost some weight. What is the claim Suppose a sample of a certain substance decayed to 69.4% of its original amount after 300 days. (Round your answers to two decimal places.) (a) What is the half-life (in days) of this substance Using the data in the table, which statement is true? How does the natural process of meiosis support evolution?A. Each daughter cell mutates its own DNA during Reduction Division to produce more variation.B. Each daughter cell is unique, providing natural variation.C. Each daughter cell is identical, providing natural variation.D. It does not support evolution. Help...I will give brainlist...but answer must be right A number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and 1. How many solutions are possible for this situation?a) Infinitely many solutions exist because the two situations describe the same line. b)Exactly one solution exists because the situation describes two lines that have different slopes and different y-intercepts. c)No solutions exist because the situation describes two lines that have the same slope and different y-intercepts. d)Exactly one solution exists because the situation describes two lines with different slopes and the same y-intercept. Read this lighthearted essay about riding a bike.. Which 3 descriptions reflect the purpose of this essay? please help me solve5w^2(2w+4w^7) Choose a Metal to Make CookwareAluminumCopperIronLead0.900.350.440.12.Specific heat (J/gC)Cost ($ per lb)1.005.000.101.00Safety riskslightslightnonesignificantDensity (g/cm3)2.708.927.8711.30Considering only specific heat, V lead wouldbe the most ideal for use in cookware.COMPLETEHowever, compared to the other options, lead istoo Performance Task 2: "TAKE HOME TASK1. It took scientist a long time to reconcile the dual nature of light, which led to the idea of the duality of matter. To further see anevidence of this concept try to observe the smoke coming from a barbeque drill. From a distance, you will see awave flow of smoke going up.Guide Questions:a. Look closely into it, what do you see?ha Does your observation tell something about the dual nature of matter? Why? Why not?2. Observe the colors on the soap bubbles on the surface of water.Guide Questions:a. What do you see?b. What property of light is exhibited?Pasagot po huhu a) The team was dismayed to lose again. b) To........... Explain the significance of the ATOM BOMB during WW2 (8 marks) somone please help me with this corey calculated the midpoint of AB with A (-3.5) and a B (1,7). What is corry's error? Use an algebraic equation to find the measures of the two angles described below. Begin by letting x represent the degree measure of the angle's complement.The measure of the angle is 64 degrees greater than its complement.What is the measure of the complement? Hwlpppppplppppppppp plsssss