Answers
Answer:
d=(x^2-x^1)+(y^2-y^1)^2
Answer:
[tex]\mathfrak{Distance \: between \: two \:points}[/tex]
The distance between two points [tex]A(x_1,y_1)[/tex] and [tex]B(x_2,y_2)[/tex] is given by the formula,
[tex]AB= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2 }[/tex]
Proof: Let X'OX and YOY' be the x-axis and y-axis respectively. Then, O is the origin.
Let[tex]A(x_1,y_1) [/tex] and [tex]B(x_2,y_2)[/tex]
be the given points.
Draw AL perpendicular to OX, BM perpendicular to OX and AN perpendicular to BM
Now,[tex]OL=x_1,OM=x_2,AL=y_1 \: and \: BM=y_2[/tex]
[tex] \therefore{AN=LM=(OM-OL)=(x_2-x_1)}[/tex]
[tex] \: \: \: BN=(BM-NM)=(BM-AL)=(y_2-y_1)[/tex]
In right angled triangle [tex] \triangle \: ANB[/tex],by Pythagorean theorem,
We have,
[tex] \: \: \: AB^2=AN^2+BN^2[/tex]
[tex]or,AB^2=(x_2-x_1)^2+(y_2-y_1)^2[/tex]
[tex] \therefore \: AB= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} [/tex]
Thus ,the distance between the points A(x_1,y_1) and B(x_2,y_2) is given by,
[tex] \implies \boxed{AB= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} }[/tex]
Related Questions
The regular price of The Mario Kart 8 Deluxe video game is $59.99. On Amazon, the discount is $10.05. What is the percent discount on this video game?
Answers
Answer:
It was a 16.7% discount
Step-by-step explanation:
You have to get the discount and divide it by the original price and it would be 0.16753 and so the percent becomes 16.7%
Answer: About 6 percent off.
Step-by-step explanation:
hope this helps :)
Find the product.
3(x+4)(x-5)
A. 3x2 − 11x − 20
B. 3x2 − 20x
C. 3x2 − 3x − 60
D. 3x2 − x − 20
Answers
Step-by-step explanation:
la respuesta es la letra C
Answer:
First distribute the 3
(3x + 12)(x - 5)
Multiply
3x - 3x - 60
Step-by-step explanation:
X + 54 = 37 so X = ?
Answers
Answer:
x=-17
Step-by-step explanation:
x+54=37
-54. -54
x=-17
-17
STEP BY STEP:
We know it is negative because 37 is less than 54.
But for how to do it is you subtract 54 from both sides. Then you just simplify.
Hope this helps. :)
1. The following triangle has an area of 15.75 cm". What is the value of 2? 7 cm 4.5 cm 3.75 cm 1.125 cm 2.25 cm
Answers
Triangle QRS has the angle measures shown.
m∠Q = (1x)°
m∠R = (3x)°
m∠S = (6x)°
The measure of the obtuse angle equals
(108°.)... :)
Help please.........
Answers
Spare an answer sir?
Answers
Answer:
yes
Step-by-step explanation:
3+ 9*4 = 3 + 36 = 39
39 is bigger than 15
Answer:
yes
Step-by-step explanation:
Just you will subsititute by the point in the inequality
(3, 9) the first number is x and the second is y
then
3 + 4 * 9 = 39
for sure 39 > 15
I hope this is hlepful to you
what is (9m)4 without exponents
Answers
Answer:
The answer is 36m
Step-by-step explanation:
Multiply 9m by 4, and you'll get (9x4)m, which is (36)m, which can be simplified into 36m.
the scale of a model is 0.5in : 6 ft. find the length of the model for an actual length of 204 ft
Answers
Answer:
17 in
Step-by-step explanation:
.5 in : 6 ft
204/6 x .5 = 17
A chef bought 0.56 kilograms of almonds and 0.4 kilograms of pecans. How many kilograms of nuts did the chef buy in all?
Answers
Answer:
0.96 kg
Step-by-step explanation:
0.56+0.40=0.96
95.4
Add the numbers of kilograms. Remember to line up the decimal points. You can write extra zeroes to make equivalent decimals.
The table below shows the monthly balances a person had on their credit card over a five-month period.
Month Balance
January -$50
February $25
March -$70
April -$45
May $25
What was the average monthly balance over the five-month period? Enter your answers and your explanations or work in the space provided.
Answers
Answer:
43 dollars
Step-by-step explanation:
to take the average we have to add up all the numbers and divide by 5 which is
215/5=43
if my answer helps please mark as brainliest.
Solve x, show work. what equation would i need to use
Answers
Answer:
x=6
Step-by-step explanation:
You can find the answers using similar triangles.
The leftmost side of the small triangle we shall call y. The leftmost side of the big triangle is twice this: 2y.
This tells us that the the side lengths in the big triangle are twice that of the small:
19x-28=2(6x+7)
19x-28=12x+14
7x=42
x=6
Linear pairs are supplementary
True or false
Plss answerr
Answers
True
If two angles form a linear pair, the angles are supplementary. A linear pair types a straight angle which contains 180º, so you have 2 angles whose measures add to 180, which skill they are supplementary.
find the number of terms and the degree of this polynomial.
[tex] - 9 {r}^{9} [/tex]
Answers
Step-by-step explanation:
there is 1 term
9th degree or degree =9
Factor-
2x^2+5x+3
Answer choices:
1. (2x+1)(x+3)
2. (2x+5)(x+1)
3. (2x+3)(x+1)
4. The Polynomial Is Prime
Factor-
3x^2+10x+4
Answers
1. (3x-4)(x-1)
2. (3x-2)(x-2)
3. (3x-4)(x+1)
4. The Polynomial Is Prime
Factor -
8x^2+10x-3
Answers
1. (2x-1)(4x+3)
2. (2x+3)(4x-1)
3. (8x+1)(x-3)
4. The Polynomial Is Prime
Factor-
6x^2-7x-4
Answers
1. (2x+2)(3x-2)
2. (6x+2)(x-2)
3. (6x-4)(x+1)
4. The Polynomial Is Prime
Factor Completely
2x^2+x-28
Answers
1. (2x+1)(x-28)
2. (2x-7)(x+4)
3. (2x+7)(x-4)
4. (2x-7)(2x+8)
Answers
2. Prime
3. (4x - 1)(2x + 3)
4. Prime
5. (2x - 7)(x + 4)
Step-by-step explanation:
(2x+3)(x+1)prime(2x+3)(4x-1)The Polynomial Is Prime (2x-7)(x+4)what is/are the coefficients 2x-5g+1
Answers
Answer:2 and 5 are coefficients
Step-by-step explanation:
Coefficients are the multiplicative factor of a variable in polynomials, so in the future look for numbers in front of a variable in polynomials.
does anyone know the answer
Answers
Answer:
y+8x X 5
Step-by-step explanation:
Answer:
first one and last one
Step-by-step explanation:
Your sister goes to a restaurant with her friends. The total for the food is $50.43. How much TAX will you pay if the percentage rate is 6%?
Answers
Answer:
3.0258
Step-by-step explanation:
50.43*6%=3.0258
Find the explicit formula for the given sequence.
-4, 12, -36, 108,...
a
a_n=-4·(-3)^{n-1}
b
a_n=4·3^{n-1}
c
a_n=15·3^{n-1}
d
a_n=5·3^{n-1}
Answers
Answer:
Option a.) an = -4(-3)^(n-1)
The length of the minute hand on a clock is 10in what's the diameter
Answers
Answer:
20
Step-by-step explanation:
A department controls 3 accounts. Account A started at $1,750 and increased annually by 8% for 3 years. Account B started at $3,000 and increased annually by 6% for two years and then decreased by 2.5% for one year. Account C started at $3,250 and decreased in value by 11% for the first year and then increased in value annually by 7% for two years. What is the total value of all three accounts after these three years?
Answers
Answer:
$8802.65
Step-by-step explanation:
$2204.50
$3286.53
$3311.62
7. The cost of 2 notebooks and 4 folders is
$2.50. The cost of 1 notebook and 6
folders is $2.25. Which statement is true?
A The cost of a notebook is $1.00, and
the cost of a folder is $0.25.
B The cost of a notebook is $0.75, and
the cost of a folder is $0.25.
C The cost of a notebook is $0.25, and
the cost of a folder is $0.75.
Answers
Answer: B (The cost of a notebook is $0.75, and the cost of a folder is $0.25.)
Step-by-step explanation:
No need for explanation. i know i’m right!!
Evaluate 8(a +b) when a = 5 and b = 11
Answers
Answer:
Hi there
your answer is 128
Step-by-step explanation:
8(5+11)
Answer:
128
Step-by-step explanation:
8(5+11)= 128
1. Janna works at a lab with a huge circular particle accelerator. It has a radius of 4 kilometers. What is the accelerator's diameter?
2. KC wants to know the area of the portion with a lot of cheese. The radius of the pizza is 9 inches and the intercepted arc of the pizza with lot of cheese measures 140°. What will be the area of the shaded sector?
3. From the main entrance of the park, there are two pathways where visitors can walk along going to the circular garden. The pathways are both tangent to the garden whose center is 40m away from the main entrance. If the area of the garden is about 706.5 m2, how long is each pathway?
pakisagot po ty!!
Answers
Answer:
1. diameter=8 kilometres
2. area=98.96 inches
3. 37m
Step-by-step explanation:
1. diameter= 2*radius
2. area of sector=θ out of 360*π[tex]r^{2}[/tex] where θ is the angle
3. area of garden=π[tex]r^{2}[/tex]
706.5=π[tex]r^{2}[/tex]
[tex]r^{2}[/tex]=706.5/π
= 225(nearest whole)
r=[tex]\sqrt{225}[/tex]=15m
we now use Pythagoras theorem to find length of each pathway
[tex]40^{2} =15^{2} +x^{2}[/tex]
1600=225+[tex]x^{2}[/tex]
[tex]x^{2}[/tex]=1600-225=1375
x=[tex]\sqrt{1375}[/tex]=37 m (to nearest whole)
The tangent pathways from the entrance form right triangles from which
the length of the pathway which are the sides of the triangle, can be found.
1. The diameter is 8 kilometers2. The area of the shaded sector is 98.96 square inches3. The length of each pathway from the entrance is approximately 37.1 metersReasons:
1. The radius of the particle accelerator = 4 kilometers
The diameter of the particle accelerator = 2 × The radius
Therefore;
The diameter = 2 × 4 km = 8 km
The accelerator's diameter is 8 kilometers
2. The area of a sector of a circle is A = [tex]\displaystyle \frac{\theta}{360^{\circ}} \times \pi \cdot r^2[/tex]
The angle subtended by the sector, θ = 140°
The radius of the sector, r = 9 inches
Therefore;
[tex]\displaystyle A = \frac{140^{\circ}}{360^{\circ}} \times \pi \times 9^2 = \mathbf{ 31.5 \cdot \pi}[/tex]
The area of the shaded sector, A = 31.5·π in.² ≈ 98.96 in.²
3. The distance from the center to the main entrance, d = 40 m
Area of the circular garden, A = 706.5 m²
Solution:
The radius of the garden, r = √(A ÷ (π))
Therefore;
r = √(706.5 ÷ (π)) ≈ 15
The tangent pathways are perpendicular to the radius of the circular garden.
Therefore, the pathway from the entrance, the 40 m. distance from the center to the entrance and the radius form a right triangle.
Where;
The 40 m. distance = The hypotenuse side
By Pythagorean theorem, we have;
40² = r² + (Length of the pathway)²
Which gives;
40² = 15² + (Length of the pathway)²
Length of the pathway ≈ √(40² - 15²) ≈ 37.1
The length of each pathway is approximately 37.1 m.
Learn more about Pythagorean theorem here:
https://brainly.com/question/16175002
2. The lengths of the sides of a triangle are 4cm, 5cm and 6cm. Find, in degrees to one decimal
place, the size of the largest angle of the triangle.
Answers
Answer:
82.8 degrees.
Step-by-step explanation:
The largest angle is opposite the longest side.
So we find the angle opposite the 6cm line using The Cosine Rule:
6^2 = 4^2 + 5^2 - 2.4.5 cos A
cos A = (6^2 - 4^2 - 5^2) / (-2*4*5)
= -5/ -40
= 0.125.
So m angle A = 82.819 degrees.
MATTHEW WENT INTO THE STORE WITH $750.00. HE WANTS TO BUY NEW CLOTHES FOR THE FIRST WEEK
OF SCHOOL. EVERYTHING IN THE STORE IS ON SALE FOR 35%. HOW MUCH MONEY WILL HE HAVE LEFT?
Answers
Answer:
the money left is $487.50
Step-by-step explanation:
The computation of the money left is shown below:
= Total money - spent money
= $750 - $750 × 35%
= $750 - $262.50
= $487.50
Hence, the money left is $487.50
We simply deduct the spent money from the total money
Help please............................
Answers
Answer:
C
Step-by-step explanation:
m∠7=m∠3
3x-10=2x+5
x=15
m∠3=2(15)+5
=35
m∠1=m∠3 (vert. opp. ∠)
= 35
x and y are angles on a line l forming linear pairs . if twice of x is 30 degree less than y . Find x and y .
Answers
Answer:
hope it helped have a good day mate
Which graph represents the function f(x)=2x-2/x-2
Answers
Answer:
graph in attachment.
Step-by-step explanation:
A market sells soup in 6-ounce cans and 12-ounce cans. On Tuesday, the market sold a total of 420 ounces of soup in 44 cans.
The system of equations below represents this situation
6x + 12y = 420
x + y = 44
How many 6-ounce cans of soup did the market sell on Tuesday?
Enter your answer in the box.
Answers
Answer:
The market sold 18 6-ounce cans of soup on Tuesday
Step-by-step explanation:
Let us solve the question
- The number of the 6-ounce cans is x
- The number of 12-ounce cans is y
- 6x + 12y = 420
→ Divide each term by 6 to simplify the equation
- x + 2y = 70 ⇒ (1)
- x + y = 44 ⇒ (2)
→ Subtract equation (2) from equation (1)
- (x - x) + (2y - y) = (70 - 44)
- 0 + y = 26
- y = 26
Substitute the value of y in equation (2) to find the value of x
-x + 26 = 44
→ Subtract 26 from both sides
- x + 26 - 26 = 44 - 26
- x = 18
- x represents the number of the 6-ounce cans
- The market sold 18 6-ounce cans of soup on Tuesday
Convert the following quadratic equation to vertex form. 2) 3x2 - 12x - 5
Answers
Answer:
2*12x-5
Step-by-step explanation:
In geometry, a vertex form is a point where two or more curves, lines, or edges meet. As a consequence of this definition, the point where two lines meet to form an angle and the corners of polygons and polyhedra are vertices. For example, a square has four corners, each is called a vertex.