Answer:
Indeed, the given triangle is a right triangle.
Step-by-step explanation:
A triangle is formed by the following three points: [tex]A(x,y) = (x_{1}, y_{1})[/tex], [tex]B(x,y) = (x_{2}, y_{1})[/tex] and [tex]C(x,y) = (x_{2}, y_{2})[/tex]. Then, we construct the following vectors:
[tex]\overrightarrow {BA} = (x_{2}-x_{1}, y_{1}-y_{1})[/tex]
[tex]\overrightarrow{BA} = (x_{2}-x_{1}, 0)[/tex] (1)
[tex]\overrightarrow{BC} = (x_{2}-x_{2}, y_{2} - y_{1})[/tex]
[tex]\overrightarrow{BC} = (0, y_{2}-y_{1})[/tex] (2)
If triangle ABC is a right triangle, then [tex]\overrightarrow{BA}\,\bullet\,\overrightarrow{BC} = 0[/tex]. By (1) and (2) we have this expression:
[tex](x_{2} - x_{1})\cdot (0) + (0)\cdot (y_{2} - y_{1}) = 0[/tex]
Therefore, the given triangle is a right triangle.
Please help
Meeeeeeeeeeeeeee
Answer:
Step-by-step explanation:
The equation of this circle is (x - 2)^2 + (x + 3)^2 = 36.
The center of the circle is at (h, k): (2, -3), and the radius, r, is 6.
7. Is it proportional?
8. If so, what is the constant of
proportionality? (unit rate)
9. Write an equation that
expresses the table in the
form
Y= KX
Answer:
A unit rate is the rate of change in a relationship where the rate is per 1.
The rate of change is the ratio between the x and y (or input and output) values in a relationship. Another term for the rate of change for proportional relationships is the constant of proportionality.
If the rate of change is yx, then so is the constant of proportionality. To simplify things, we set yx=k, where k represents the constant of proportionality.
If you solve a yx=k equation for y, (like this: y=kx), it is called a direct variation equation. In a direct variation equation, y varies directly with x. When x increases or decreases, y also increases or decreases by the same proportion.
To find y in a direct variation equation, multiply x by the constant of proportionality, k.
For example: Given the relationship y=7x, the constant of proportionality k=7, so if x=3, then y=3×7 or 21.
Given the same relationship, if x=7, then y=7×7, or 49.
Step-by-step explanation:
Answer:
Yes it is. Y=2.5x
Step-by-step explanation:
So, lets start with bthe first values of the table and work our way down:
2x=5y
Lets just divide both sides by the 2:
x=5/2y
This means that for every 1 x, there should be 5/2y's.
Or, for every 1 x, there should be 2.5ys.
Lets check the next few to see if thats correct:
3x=7.5y
Divide both sides by 3:
x=7.5/3
This means for every one x, there are again, 2.5ys.
Lets check one more just to be sure:
4x=10y
Divide both sides by 4:
x=10/4
This means for everyone one x, y equals 2.5ys, yet again,
So we can conclude that the poprotional relationship between x and y is:
When x equals 1, y=2.5
Or
Y=2.5x
Hope this helps!
If SW ⊥ RT, m< RSU = 5x+17, and m<VST = 9x-11, find m<WSV.
Answer:
uhhhh.....wut?
Step-by-step explanation:
The measure of the angle WSV is 38 degrees.
What is the complementry angles?Complementary Angles Two angles are Complementary when they add up to 90 degrees.
The value of x is;
[tex]\rm 5x+17=9x-11\\\\ 5x-9x=-11-17\\\\-4x=-28\\\\x =\dfrac{-28}{-4}\\\\x=7[/tex]
The angle VST is equlas to;
[tex]\angle \rm VST=9x-11=9(7)-11=63-11=52 \ degrees[/tex]
The angle VST and angle WSV are the complementary angles;
[tex]\angle \rm WSV+\angle VST=90\\\\\angle \rm WSV+52=90\\\\ \angle \rm WSV=90-52\\\\\angle \rm WSV=38[/tex]
Hence, the measure of the angle WSV is 38 degrees.
Learn more about complementry angles here;
https://brainly.com/question/18482336
#SPJ2
3x2 – 5x + 2
please help me solve this
Answer:
3x2 – 5x + 2 = ( 3x-2)( x-1)
Step-by-step explanation:
I hope this helps you!
Have a nice dayyy <3
Answer:
[tex](3x-2)(x-1)[/tex]
Step-by-step explanation:
A bag contains 3 red marbles, 4 blue, 9 yellow, and 5 green. What is the probability of getting a blue marble?
Answer:
Step-by-step explanation:
HeLP me ASAP PLEASE ASAP i will give 50 points for the right answer
I edited it this should be the correct answer
Answer:
1/8
Step-by-step explanation:
probability for cube(even) = 3/6
probability for color = 1/4
(1/4)*(3/6)=3/24=1/8
Answer: 1/8
Step-by-step explanation:
the probability for getting an even number on the cube is 3/6 or 1/2
the probability of getting red is 1/4
1/2 times 1/4 is 1/8
hey! i’ll give brainliest please help.
The last name I am pretty sure of it.
Answer:
Zarathustra is the answer
The two line plots below show the number of hours per week students in Mr. Pinkos' class spend doing homework and watching television
Answer:
Step-by-step explanation:
I need help
Which number line shows the approximate location of the square root of 10?
Answer:
It should be somewhere near 3.16
Step-by-step explanation:
The square root of 10 simplified is around 3.16
Answer:
Estimated 3.16
Step-by-step explanation:
I'm taking the test right now. Mark brainliest if it helped.
At a hockey game, a vender sold a combined total of 136 sedas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the
number of sodas and the number of hot dogs sold
Answer: just do 3x136
step-by-step explanation:
bfui3qtwsd3wa CAF
The number of sodas sold is 102 and the number of Hot dogs sold is 34.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Given, At a hockey game, a vendor sold a combined total of 136 sodas and hot dogs.
Let "x" be the number of hot dogs sold
Since The number of sodas sold was three times the number of hot dogs sold.
thus,
Number of Sodas sold = 3 * x
Since total items sold = 136
x + 3x = 136
4x = 136
x = 34
Thus, the number of Sodas sold = 34 * 3
the Number of Sodas sold = 102
therefore, the number of sodas sold is 102 and the number of Hot dogs sold is 34.
Learn more about Mathematical operations here:
https://brainly.com/question/20628271
#SPJ2
NEED ANSWERS!!!!!!!!!!
Answer:
(1,0) and (3,0)
Step-by-step explanation:
The roots are always shown where the parabola crosses the x-axis.
In this particular graph, the parabola crosses at (1, 0) and (3, 0). Which means the roots are:
x = 1 and x = 3
Simplify please I need the answer
What is the difference between a plane and a piece of paper?
A. Nothing, both can have lines and points on them
B. You can draw on paper not on a plane
C. You can make a piece of paper into a plane if you know how to fold it
D. A plane is two dimensional and goes on infinitely, a piece of paper has three dimensions and has definite boundaries
E. Nothing, because they are the same thing
F. Planes are used in mathematics, paper is not
Answer:
D
Step-by-step explanation:
15 pts, Solve a right triangle. Please write your answers as it says on the mandate, Thanks!
Hence,
Hence, EG = 5√2And, FG = 5√6Hope it helps you. Please don't mind my rude handwriting. Just pretend it get bent due to a cyclone.
Acabcompanycharges $ 4 percabride,plusanadditional $ 1 permiledriven.Howlongisacabridethatcosts $ 28 ?
Answer:
24 miles
Step-by-step explanation:
Given that the cost of the company consist of two elements; a fixed cost equivalent to $4 and a variable cost element which depends on the miles driven. If the car travels x miles then the cost will be
= 4 + 1*x
= 4 + x
If the total cost is $28 then
4 + x = 28
Subtract 4 from both sides
x = 28 - 4
= 24
The car ride is
24/1 = 24 miles
A real estate agent earns 3% commission on each house she sells. If she sells a 150,000 house, how much commission will she get?
Answer:
4,500
Step-by-step explanation:
150,000x.03=4500
The commission of the real estate agent is 4500 which is 3% of 150,000.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, A real estate agent earns a 3% commission on each house she sells and she sells a 150,000 house.
So, His commission is 3% of 150,000.
Therefore,
Commission = (3/100)×150000.
Commission = 4500.
So, The commission of the real estate agent is 4500.
Learn more about percentages here :
https://brainly.com/question/24159063
#SPJ5
Someone helppp!!!!!!
Calculate the surface area of this cylinder. Use 3.14 for the value of pi.
Answer:
1884.96 cm squared
Circle A has center of (6, 7), and a radius of 4 and circle B has a center of (2, 4), and a radius of 16. What steps will help show that circle A is similar to circle B?
Answer:
1) Use translation to coincide the center of a circle with the center of the other circle.
2) We construct the respective loci for the circles.
3) Compare each loci by direct inspection ([tex]f(x,y)[/tex] must be the same and radii must be different but constant) to conclude the similarity of the two circles.
Step-by-step explanation:
Geometrically speaking, a circle is formed after knowing its center and radius.
1) Use translation to coincide the center of a circle with the center of the other circle. In this case, we translate the center ([tex]C_{A} (x,y) = (6,7)[/tex]) of the circle A to the location of the center of the circle B ([tex]C_{B}(x,y) = (2,4)[/tex]):
[tex]C_{A'} (x,y) = (6,7) + [(2,4) - (6,7)][/tex]
[tex]C_{A'} (x,y) = (2,4)[/tex]
2) We construct the respective loci for the circles.
By Analytical Geometric, a circle is represented by the following locus:
[tex](x-h)^{2}+(y-k)^{2} = r^{2}[/tex]
Where:
[tex]x, y[/tex] - Coordinates of a point of the circunference.
[tex]h, k[/tex] - Coordinates of the center of the circle.
[tex]r[/tex] - Radius of the circle.
3) Compare each loci by direct inspection ([tex]f(x,y)[/tex] must be the same and radii must be different but constant) to conclude the similarity of the two circles.
Then, the circles A' and B are represented by the following loci:
Circle A'
[tex](x-2)^{2} + (y-4)^{2} = 16[/tex]
Circle B
[tex](x-2)^{2} + (y-4)^{2} = 256[/tex]
Since both the [tex]f(x,y)[/tex] component of each circle is the same and radii are different but constant, then we conclude that circle A is similar to circle B.
Please answer correctly I’ll mark you brainlist!
Answer:
296.96 m
Step-by-step explanation:
Monsters, inc has been accident free for 47 days out of 365 days. What percentage of days have NOT been accident free? (round nearest tenth)
Answer:
87 %
Step-by-step explanation:
get days that havent been accident free: 365 - 47 = 318get precentage : 318/365 = 0.87123287671simply/round down: 87%Plssssssssssssssss help
Answer:
EF is the chord of K
hope it helped
Answer:
EF is the chord of K
Step-by-step explanation:
plz mark me as brainliest
Solve: -4(8 + 6n) = -2(n - 6)
Please help Giving 10 points for correct answer !!
Answer:
[tex]n=-2[/tex]
Step-by-step explanation:
[tex]-4(8+6n)=-2(n-6)\\ -32-24n=-2n+12\\-32-12=-2n+24n\\-44=22n\\n=-2[/tex]
Carl and Tamera want to compare their tests in math class. They have taken six tests. Should they use the mean, median or mode to compare their scores?
Answer:
Mean
Step-by-step explanation:
I said mean because it would allow both Carl and Tamera to average their scores and compare one side by side rather than comparing 6 each which would just be time consuming and it seems like it wouldn't be any other choices.
Philip bought a pair of jeans that were on sale. The jeans cost $45 before the sale. The sale discount was $9.
Which percent shows the discount Philip got on his jeans?
Answer: It’s 5%
Step-by-step explanation:45 divided by 9 is 5 so that the answer :)
I reposted this someone gave me a link and it tried to give me a virus
Answer:
216 cubic centimeters
Step-by-step explanation:
I divided the shape as two separate rectangular prisms.
4 times 6 times 6 = 144
3 times 4 times 6 = 72
144 + 72 = 216
I hope this helps! :-)
What is the volume of a cylinder with a height of 12.8 m and a base with a radius of 5.7 m, to the nearest tenth of a cubic meter?
Answer: 1306.5 m^3
Step-by-step explanation:
1. The formula for the volume of a cylinder is: V=[tex]\pi[/tex]r^2h
2. If you substitute the values into the equation, you get
V = pi * 5.7^2 * 12.8 = 1306.5
3. 1306.5 is already to the nearest tenth, so that is the answer.
A spaceship weighs 410,000 kg. what is this number, without units, in scientific notation?
PLZ HELPP ASAP!!!
Answer:
4.1 x 10^5Step-by-step explanation:
10^5 = 100,000 x 4.1 = 410,000
Misty wants to save money to purchase a new bicycle that cost $279 she opens a savings account and deposit $7 per week based on this information which of the following is a reasonable conclusion I need a sentence not a single number answer
Answer:
please provide the choices of this question
Identify the area of the trapezoid.
Answer:
A = 37.5
Step-by-step explanation:
The formula for finding the are of a trapezoid is (a + b)/2(h)
a = base
b = base
h = height
A = (6.1 + 8.9) / 2(5)
A = 37.5
Answer:
The answer is 37.5.
Step-by-step explanation:
The area for a triangle is A=1/2 bh.
In this case, we have 2 triangles, so we just make it one rectangle.
Each triangle is (1.4*5)/2. (1.4*5)*2/2=7.
You do 2/2 because the half and the two triangles cancel out.
6.1*5=30.5.
30.5+7=37.5