find the distance and midpoint of a segment with the following endpoints: (5,-1) and (-9,-1)

Answers

Answer 1

Answer:

[tex]d = 14[/tex]

[tex](-2,-1)[/tex]

General Formulas and Concepts:

Order of Operations: BPEMDASDistance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Step-by-step explanation:

Step 1: Define

(5, -1)

(-9, -1)

Step 2: Find distance d

Substitute:                    [tex]d = \sqrt{(-9-5)^2+(-1-(-1))^2}[/tex]Simplify:                        [tex]d = \sqrt{(-9-5)^2+(-1+1)^2}[/tex]Subtract/Add:               [tex]d = \sqrt{(-14)^2+(0)^2}[/tex]Evaluate:                       [tex]d = \sqrt{196}[/tex]Evaluate:                       [tex]d = \14[/tex]

Step 3: Find Midpoint

Substitute:                    [tex](\frac{5-9}{2},\frac{-1-1}{2})[/tex]Subtract:                       [tex](\frac{-4}{2},\frac{-2}{2})[/tex]Divide:                          [tex](-2,-1)[/tex]

Related Questions

anyone have mocks gcse for year11 maths edexcel

Answers

no I’m to young LMAAOO

I'm in year 10 but here are some useful websites...

an internet service provider chargers $18 per month plus an initial set up fee. One customer paid a total of $81 after 2 months. Write an equation modeling this situation on slope- intercept form.

Answers

Answer:

y = 18x + 45

Step-by-step explanation:

81 = 18x + b

81 = 18(2) + b

81 = 36 + b

b = 45 so 45$ is the initial set up fee

Write linear equation (2,-2) and (0,-1)

Answers

Answer:

y=-1/2x-1

Step-by-step explanation:

Y-4=-2(x+3)y−4=−2(x+3)y, minus, 4, equals, minus, 2, left parenthesis, x, plus, 3, right parenthesis Complete the missing value in the solution to the equation.

Answers

Answer:

4

Step-by-step explanation:

just did it

Answer:

3

Step-by-step explanation:

Khan Academy

Which angles form a linear pair?

Answers

Answer:

A common arm

A common vertex

Their interiors do not overlap

The sum of two angles is 180°.

Therefore, linear pair of angles are adjacent angles whose non-common arms are opposite rays.

Explanation: A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.

What is the value of x?

Answers

Answer:

X=53°+45°=98°

( BEING EXTERIOR ANGLE OF A TRIANGLE IS EQUAL TO THE SUM OF INTERIOR ANGLES)

Answer:

Value of x is 118 in the morning

HURRY!! WILL MARK BRAINLIEST!!!

Find the slope of the line.

- 1/3
-3
4
1/4

Answers

Answer:

-3

Step-by-step explanation:

First, we find points on the line, (1,1) and (4,1). Then we can use the slope formula, (y2 - y1)/(x2-x1). Plugging those two points into the formula gives -3/1 which is equal to -3.

0.5 in simplest form

Answers

Answer:

all e

3 works hope it helped

Patrick walks 0.78 mile each day. A. How far will he walk in all if he walks this distance each day for 14 days? B. How could you use either multiplication or addition to solve this problem?

Answers

10.92 miles. Multiply 0.78 times 14

the perimeter of an isosceles triangle in which the equal sides measures 12cm each and third side is 8cm_____. please show the working too ^^

Answers

Use the formula P = 2a+ b.

Let a = 12

Let b = 8

P = 2(12) + 8

P = 24 + 8

P = 32

NEED HELP ASAP

Given the following vectors in component form:

u = ⟨10, 12⟩

v = ⟨– 3, y⟩



5u = ⟨50, 60⟩

5v = ⟨–15, 5y⟩



5(u + v) = ⟨35, 40⟩

What is the y-component of vector v?

y = –3
y = –4
y = –20
y = 4

Answers

Answer:

B. y=-4

Step-by-step explanation:

The discriminant of a quadartic equation is 40. What is the nature of the solutions?

Answers

Since the discriminant is positive, this means we have two distinct real solutions.

If a, b, and c are rational numbers, then a discriminant of D = 40 indicates the two solutions are not rational. We would need D to be a perfect square to get two rational solutions.

The nature of the solution of positive discriminant of a quadratic equation shows two distinct real number solutions.

Here discriminant of a quadratic equation is 40.

What is discriminant?

The discriminant is the part of the quadratic formula underneath the square root symbol; [tex]b^{2} -4ac[/tex]. The discriminant tell us whether there are two solution, one solution, or no solutions.

Now, since the discriminant is given as 40 that's mean discriminant is positive.

Hence we have two distinct real number solutions.

Learn more about the discriminant of quadratic equation visit:

https://brainly.in/question/32121934

#SPJ2

Write each number below in Scientific Notation.
1. 92, 000 = 9.2 x 104
2. 109,000 = 1.09 x 105
3. 4,673 = 4.673 x 103
4. 0.00087 = 8.7 x 10-4
5. 0.0235 = 2.35 x 10-2

Answers

Answer:

92,00=9.2*10^4

109,000=1.09*10^5

4,673=4.673*10^3

0.00087=8.7*10^-4

0.0235=2.35*10^-2

Step-by-step explanation:

Madelyn needs to lease out a music studio to record her new album. The studio charges an initial studio-use fee plus an hourly fee for each hour in the studio. The fixed fee to use the studio is $250 and the total cost charged for 5 hours is $500. Write an equation for
P
,
P, in terms of
t
,
t, representing the amount of money Madelyn would have to pay to use the studio for
t
t hours.

Answers

9514 1404 393

Answer:

  P = 250 +50t

Step-by-step explanation:

We are given two pairs of time and price:

  (t, P) = (0, 250)  and  (5, 500)

We can put these into the 2-point form of the equation for a line:

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  P = (500 -250)/(5 -0)(t -0) +250

  P = 250/5t +250

  P = 50t +250 . . . . Madelyin's cost equation

Answer:

need

Step-by-step explanation:

A family purchased tickets to a museum and spent a total of $70.00. The family
purchased 5 tickets. There was a $1.50 processing fee for each ticket. Write and solve
an equation that can be used to find x, the cost of one ticket to the museum. The equation must involve a variable. Show your work or explain your answer.

Answers

Answer: 12.5

Step-by-step explanation:1.50*5=7.5

7.5-70=62.5

62.5 divided by 5 = 12.5

x(5)+1.50=70
-1.50. -1.50
x(5)= 68.5
__ ___
5 5
x=13.7

hope this helps :)

What's 0.13 quite a bit

Answers

0.13 is a decimal pronounced as zero and 13 hundreths

answer and show work plzzzzxxxx thxxx​

Answers

Answer:

-21

Step-by-step explanation:

9/1 x -7/2 = -42/2 = -21

a rectangular garden has a perimeter of 48 feet. If the width of the garden is 2 feet less than the length, what are the dimensions of the garden?

Answers

Answer:

         

Step-by-step explanation:

Answer:

Step-by-step explanation:

Width  =x-2

Length=x  

Perimeter  =48

Perimeter =x*(x-2)

Substitute: 48=x*(x-2)

Simplify: 48=x^2-2x

x=48/2=24

HELP ASAP! WILL MARK BRAINLYNESS OR WHATEVER ITS CALLED

Which statement best describes a graph of paired points that form a proportional relationship?




A straight line can be drawn through all the points and the line passes through the origin.

A straight line cannot be drawn through all of the the points but the line passes through the origin.

A straight line can be drawn through all the points but the line does not pass through the origin.

A straight line cannot be drawn through all of the the points and the line does not pass through the origin.

Answers

Answer:

the first one.

Step-by-step explanation:

The correct answer is "A straight line can be drawn through all the points and the line passes through the origin."

Will give brainiest! Please help!

A study found that 27% of the fish in a river are trout, 36% are salmon, and 18% are sturgeon. If a large fish trap is set and it captures 200, what is the ratio of salmon to total fish, in lowest terms

Answers

Answer:

The ratio of salmon to total fish caught is 9 over 25.

Step-by-step explanation:

Start with what we know. We have 200 total fish caught and 36% are salmon. The rest is just mumble jumble so don't pay attention to that.

All we have to do is find 36% of 200, and the easiest way to do that is by first knowing that 36% of 100 is 36 so if we double that it will give us 36% of 200.

36 x 2 = 72

So, the ratio of salmon to total fish caught is 72 over 200. But, in simplest form is 9 over 25 because 72/200 divided by 4/4 = 9/25.

Hope this helps! If you have any additional questions please don't hesitate tp ask me or your teacher to be sure you really master this subject. Stay safe and please mark brainliest!

Translate the algebraic expression 8(8+7J+8)

Answers

Answer:

The answer is 64+56j+64

f(x) = -2(x - 1)(x + 3)

Answers

The answer is f(x)=4x^2+8x-12

50 POINTS BRAINLIEST
MATH

Answers

Answer:

[tex]B=\frac{2A}{h}-b[/tex]

Step-by-step explanation:

To solve this B needs to be isolated. First we must multiply both sides of the equation by 2 to get rid of the fraction on the left side. Next, divide both sides by h to get rid of the h on the left side. Finally, subtract b form both sides to get B by itself.

your answer would be b=2a/h-B

Will give brainliest if you are right.

Answers

Answer:

x-int (2, 0)

y-int (0, 3)

General Formulas and Concepts:

The y-intercept is the y value when x = 0.  Another way to reword that is when the graph crosses the y-axis. The x-intercept is the x value when y = 0.  Another way to reword that is when the graph crosses the x-axis.

Step-by-step explanation:

Step 1: Locate x-intercept

x-int (2, 0)

Step 2: Locate y-intercept

y-int (0, 3)

A cereal company made a batch of 714 ounces of cereal. If they put it in 18-ounce boxes, how many boxes would the batch fill?

Answers

Answer:

About 40 (Accurate answer would be 39.7 or 39.666666)

Step-by-step explanation:

714/18 =  39.666666

Answer:

wait look it up on google

Step-by-step explanation:

Unit 4 Test, Part 2: Congruence and Constructions
Help with my math please

Answers

Answer/Step-by-sep explanation:

1. Given:

∆NMK ≅ ∆TRP

[tex] \overline{NM} = 20 [/tex]

[tex] \overline{MK} = 15 [/tex]

[tex] \overline{KN} = 25 [/tex]

[tex] \overline{TR} = 3x - 1 [/tex]

a. To complete the congruent statement, thus: ∆MNK ≅ ∆RTP

b. The side that is congruent to [tex] \overline{TR} [/tex] is [tex] \overline{NM} [/tex]. Thus:

[tex] \overline{TR} [/tex] ≅ [tex] \overline{NM} [/tex]

c. Since [tex] \overline{TR} [/tex] ≅ [tex] \overline{NM} [/tex], therefore:

[tex] \overline{TR} = \overline{NM} [/tex]

[tex] 3x - 1 = 20 [/tex] (substitution)

Add 1 to both sides

[tex] 3x = 20 + 1 [/tex]

[tex] 3x = 21 [/tex]

Divide both sides by 3

[tex] x = \frac{21}{3} [/tex]

[tex] x = 7 [/tex]

2. a. Slope of LK = [tex] \frac{rise}{run} = \frac{4}{3} [/tex]

Slope of LM = [tex] \frac{rise}{run} = -\frac{3}{5} [/tex]

b. ✍️Length of LK is the distance between L(-7, 4) and (-4, 8):

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

[tex] Lk = \sqrt{(-4 -(-7))^2 + (8 - 4)^2} [/tex]

[tex] Lk = \sqrt{(3)^2 + (4)^2} [/tex]

[tex] Lk = \sqrt{9 + 16} [/tex]

[tex] Lk = \sqrt{25} [/tex]

[tex] Lk = 5 [/tex]

✍️Length of LM is the distance between L(-7, 4) and (-2, 1):

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

[tex] LM = \sqrt{(-2 -(-7))^2 + (1 - 4)^2} [/tex]

[tex] LM = \sqrt{(5)^2 + (-3)^2} [/tex]

[tex] LM = \sqrt{25 + 9} [/tex]

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

[tex] LM = 5.8 [/tex] (nearest tenth)

∆KLM is not an isosceles ∆ because it does not has two equal side lengths. This we can see because LK and LM are not equal.

Therefore, Anthony is incorrect. Am isosceles ∆ has two equal sides.

Which value of x makes the inequality true?

A. 1.6

B. √4

C. 0.09

D. 1/5

Answers

The answer is A.

AKA 1.6

Find the distance between (0,5) and (8,9). Round your answer to the nearest tenth.
The distance is about
units.

Answers

Answer:

8.9 units

Step-by-step explanation:

sqrt[(x2-x1)^2+(y2-y1)^2]

sqrt[8^2+4^2]

sqrt(80)

8.9 units

The coordinate grid shows three points P, Q, and R:
PLEASE HELP!!!!!!!!
A four-quadrant coordinate grid from negative 10 to positive 10 in increments of 2 is drawn. Point P is plotted on the ordered pair negative 6, negative 2. Point Q is plotted on the ordered pair negative 6, negative 6. Point R is plotted on the ordered pair 4, negative 6.

The distance between Q and R is ______ units.

Answers

Answer:

the answer is 10 the other dude is right

Step-by-step explanation:

Answer:

10

Step-by-step explanation:i just took the test and got it right :)

pls help i give brainliest

Answers

Answer: C. A worker with 40 hours of training is paid $1400/month.

I hope this helps :)
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