Mathematics High School

d
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
Evaluate
d
if
(
x
1
,
y
1
)
=
(
2
,
−
4
)
and
(
x
2
,
y
2
)
=
(
4
,
3
)
.
Leave your answer in surd form.

D=(x2x1)2+(y2y1)2Evaluate D If (x1,y1)=(2,4) And (x2,y2)=(4,3).Leave Your Answer In Surd Form.

Answers

Answer 1

[tex](x_1, y_1) = (2,-4) ,~~~(x_2 , y_2) = (4,3)\\\\d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\\\\=\sqrt{(4 - 2)^2 + (3+4)^2}}\\\\=\sqrt{2^2 + 7^2} = \sqrt{4+49} = \sqrt{53}[/tex]

Related Questions

I need help please each number has its own equation number it off please

Answers

1) 22 is less than or equal to 5x-3
2) x/8 -5 > -6/10
3) 2+x is greater or equal to 12x4

Graph the line with the slope of -4 and passing through ( 3, 5 ).​

Answers

Answer:

See graph below of the line y - 5 = - 4 (x - 3) OR  y = -4 x + 17    

Step-by-step explanation:

We can write the equation for such a line using the point-slope form [(y - y₁) = m (x - x₁)] where m = - 4 & (x₁ , y₁) = ( 3, 5 ). We can then find the x and y-intercept. The line we draw through these three points will be the line we are trying to find.

Equation of the Line

y - 5 = - 4 (x - 3)

Finding x and y-intercepts

y-intercept is 'c' when the line is in the slope-intercept form (y = mx + c)

since y - 5 = - 4 (x - 3)

         y - 5 = -4 x + 12

              y = -4 x + 17    

            ∴ point of the y-intercept is (0, 17)

x-intercept occurs when y = 0

 y = -4 x + 17  

 0 = -4 x + 17

-17 = -4x

   x = ¹⁷/₄

            ∴ point of the x-intercept is (¹⁷/₄, 0)

Graph the line

We can now plug in the points and draw the line.

See the example below.

Note: You only need two points to graph the line. I just did a third as a check.

What type of angle is 19 degrees

Answers

Answer:

Obtuse Angle

Step-by-step explanation:

Answer:

Acute

Step-by-step explanation:

please help me with this question!!

Answers

Answer:

\(x = 1\)

Step-by-step explanation:

Based on the given conditions, formulate: \(x = 12 \div 12\)

Cross out the common factor:\(x = 1\)

Answer: \(x = 1\)

Find the measure of the exterior angle.

Answers

Answer:

125

Step-by-step explanation:

75 + 50

anyone know this??? please help, help!!! thanks!

Answers

Answer:

c. -19

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Given a polynomial in standard form

The leading coefficient is the coefficient of the variable with the largest exponent.

The term with the largest exponent of the variable is

[tex]\frac{1}{4}[/tex] [tex]x^{5}[/tex]

Then the leading coefficient is [tex]\frac{1}{4}[/tex] → A

what are the reasons?

Answers

Answer:

Step-by-step explanation:

1. ∠WVX , ∠YZX are right angled triangles       1.Given

2. WV ≅ YZ                                                          2. Given

3. X is the midpoint of WY                                  3. Given

4. WX ≅ YX                                                          4. definition of midpoint

5. ΔWVX ≅ ΔYZX                                               5. RH congruent

hey ty if you can answer ​

Answers

Answer:

c (I think it is c, but I am not a 100% sure)

Step-by-step explanation:

x and y have to be same

Have a nice day! :-)

Answer:

  a.  ∞, -∞

Step-by-step explanation:

The line has negative slope, so the sign of the end value of y will be the opposite of the sign of the end value of x.

  x → -∞,  y → ∞ . . . . . off the top of the graph as x goes to the left

  x → ∞, y → -∞ . . . . . . off the bottom of the graph as x goes to the right

The end behavior is summarized as ...

  ∞, -∞ . . . . . matches choice A

Directions:

It’s easy for people to get stuck in their own minds or their own worlds instead of seeing the perspectives of others. Take a moment to consider the perspective of the characters listed. Choose one character. Write a short paragraph to explain the perspective of that character by putting yourself “in their shoes.” Consider these questions:

What might be his or her struggles?
How does the character see the world around himself or herself?
What decisions would you make if you were in the character’s place?
Be sure to use specific examples or textual evidence from research, the readings in this class, or your own experiences and knowledge.

Prompt:

Topic 1: Perspective of Montresor in “The Cask of Amontillado”

Topic 2: Perspective of Princess Irene in The Princess and the Goblin, Chapter 14

Answers

Answer: Montresor struggles with anger, and grudges. Montresor feels remorse at the end but excuses it as the dampness of the catacombs.

He sees the world without justice and sees to make justice for himself. In the story he talks about the misgivings and insults he receives from fortunato. He takes vengeance against him.

(haven´t read book based off summary) Princess Irene  shares a friendship that is strong. I infer this based off the trust and bonding they share in the book. She struggles against goblins.  

Step-by-step explanation: I really hope this helps havent read the books in a long time.!!

Please I need a Hand
*How much money was in Caroline's account when it was opened? Explain.

*After 2 years, how much money would Caroline have saved? (Hint - convert years to months before solving). To earn full credit, show your work using a method explained in the Orientation.

Answers

Answer:

  A) $3100

  B) $6700

Step-by-step explanation:

A)

The first table entry is the value of the opening balance of Caroline's account.

$3100 was in Caroline's account when it was opened.

__

B)

After 1 month, the balance in Caroline's account increased by $3250 -3100 = $150. There are 12 months in a year, so after 2 years, Caroline will have made 12×2 = 24 additional deposits of $150. Her account value will be ...

  24 × monthly deposit + initial balance

  = 24 × $150 + $3100 = $3600 +3100 = $6700

Caroline would have saved $6700 after 2 years.

Find the measure of angle b.
51
39
129
141

Answers

Answer:

b = 39

Step-by-step explanation:

To complete the full circle would need 360°

So, the equation is:

b + 28 + 293 = 360

b + 321 = 360

b = 360 - 321

b = 39

Your friend solved the equation 4x+12x−6=4(4x+7) and got x=34. What error did your friend make? What is the correct solution?

Answers

Answer:

=34

Step-by-step explanation:

4x+12x-6=4(4x+7) ur question

using BODMAS

4x+12x-6=16x+28

16x-6=16x+28

16x-16x=28+6

0=34

but make sure your question is right, can you go through it again

What is 9 ¼ percent of $485.95 ?

Answers

44.950375 is the answer

1.1x10^5 in standard notation

Answers

Answer:

110000

Step-by-step explanation:

first, expand 10^5, which is 100000

use a calculator (or long multiplication) to multiply 1.1*100000, which is 110000

PLS HELP!!
IM GIVING BRAINLIEST!!!
No stealing points, no links, only correct answers!!!!!

Answers

The answer is D

I know because I compared the graph of f(x) to the graph of the equation that answer D gave. What I got is shown in the image. (Blue line is g(x) and red line is f(x))

WILL MARK BRAINLIEST, PLS INCLUDE SOLUTION

Answers

(-2x^2m)² (3x^3) / 8x^m-3
Simplify
12x^3+4m/9x^m-3
Simplify further

=4x^3m+6/ 3
I hope this helps

PLEASE HELP FAST!!!!!
1. Which number has a real component of 16 and an imaginary component of 10?
A: 16 + 10i
B: 10+ 16i
C: 16 - 10i
D: 10 - 16i

Answers

Answer:

A: 16 + 10i

Step-by-step explanation:

The numbers are in the form of:

a + bi, where a - real component, b - imaginary component

When a = 16, b = 10 the number is:

16 + 10i

Correct choice is A

The ratio of dogs to cats is 25:75. How many cats are there if there are 75 dogs?​

Answers

Answer:

225

Step-by-step explanation:

25:75=75:?

25*3 is 75, so 75*3 is ?

75*3 is 225

Hope this helps!

Let me know if it does

Answer: 225 cats

Step-by-step explanation:

25 dogs x 3: 75 cats x 3

75 dogs: 225 cats

HELP PLEASE ILL GIVE U BRAINLIEST

Answers

Answer:

number 3

Step-by-step explanation:

angleNGL=~angleHGF

Answer:

NG≅GF

Step-by-step explanation:

Since the side has to be in between the two angles so it from a ASA

The angles ∠N is the same as ∠F and ∠NGL is the same as ∠HGF

A card game has 50 cards. After dealing 7 cards to each player, Tupi has 15 cards left over. Solve the equation 50 7p = 15 to find the number of players.

Answers

5 players
50-15=35
35/7=5

One side of a regular hexagon ABCDEF forms the side of a regular polygon with n sides.

Angle GAF = 105°. Work out the value of n. ​

Answers

Answer:

n = 8.

Step-by-step explanation:

The interior angle of a regular hexagon = 120 degrees.

So m < GAB = 360 - 120 - 105

= 135 degrees so the regular polygon has a total of 135n degrees.

Using the formula for the sum of interior angles of a polygon,

For the polygon with n sides:

Sum of interior angles = 180(n - 2)

135n = 180(n - 2)

135n = 180n - 360

45n = 360

n = 360/45 = 8.

Use angle relationships to complete the top equation. Then, solve for x and find the measure of both angles.

Answers

x = 20
4x + 30 = 110
3x + 10 = 70

Which expression has a value equal to 28 divided by 4
There are 4 options.
7x4
4x28
28/4
4/28

Answers

Answer:

28/4

Step-by-step explanation:

the slash is also a division sign.

Answer:

B: 28/4 should be the correct answer, correct me if I'm wrong.

Please help I need the answer quickly.​

Answers

Answer:

r = ± [tex]\sqrt{q^2-p^4[/tex]

Step-by-step explanation:

p² = [tex]\sqrt{q^2-r^2}[/tex] ( square both sides )

(p² )² = q² - r²

[tex]p^{4}[/tex] = q² - r² ( subtract q² from both sides )

[tex]p^{4}[/tex] - q² = - r² ( multiply through by - 1 )

q² - [tex]p^{4}[/tex] = r² ( take square root of both sides )

± [tex]\sqrt{q^2-p^4}[/tex] = r

Consider the following proportion:

2
7
=
12
x
Use cross products to write the equation: 2x = 84.

What is the value of x?

Answers

Answer:

x=42

Step-by-step explanation:

divided by 2 equals 42 first you have to dive x by 2 and do the same for 80

How to solve it out?

Answers

Step-by-step explanation:

the sum of the interior angles of a polygon (a closed object with n edges) is always (n-2)×180°.

we have here 5 edges, so the sum of all 5 angles is

(5-2)×180 = 3×180 = 540°.

now, let's simply calculate

5x + 2 + 7x - 11 + 13x - 31 + 8x - 19 + 10x - 3 = 540

43x - 62 = 540

43x = 602

x = 14

therefore,

angle S = 13x - 31 = 13×14 - 31 = 182 - 31= 151°

Match the terms to their definition.
1. the result of a transformation on a point or figure
2. a transformation that preserves distance
the flipping of a plane about a fixed line; a transformation
3.
resulting in a mirror image over a line
the process of setting up correspondence between the
4. elements by of two sets so that every element of the first set corresponds to a unique element in the second set

Isometry
Image
Reflection
Transformation

Answers

I believe the numbers didn't fully correspond with the definitions so I tried my best to fix them and then match them.

Answer:

Isometry = 2: A transformation that preserves distance.

Image = 1: The result of a transformation on a point or figure.

Reflection = 3: The flipping of a plane about a fixed line; a transformation resulting in a mirror image over a line.

Transformation = 4: The process of setting up correspondence between the elements of two sets so that every element of the first set corresponds to a unique element in the second set.

(3+6i)(4-4i) simplify

Answers

Answer:

See picture

Step-by-step explanation:

Hope this helps!

AYOOOO HELP!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Value of x= `

4x+5y-6z =2

x= (2-5y+6z) divided by 4

For example : if x is 2.5

2.5 = 2 - 5x2 + 6x3

Blue10
Brown15
Green5
Red10
Yellow12

The table shows how many of each color candy came out of a bag. What is the probability of choosing a brown candy?

Answers

15/52 is the probability
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