Find the equation of the line which passes through (-2,-2) and (2,-4).
Answers
Equation of a line is given by
m (x - x¹) = (y - y¹)
where m is the gradient [tex]m \: = ( {y}^{2} - {y}^{1} ) \: \div ({x}^{2} - {x}^{1} )[/tex]where (x¹ , y¹ ) and (x² , y²)
(-2,-2 ) and (2 , -4)
m = ( -4 - (-1) ) ÷ ( 2 - (-2) ) m = ( -4 + 1 ) ÷ ( 2 + 2 )m = ( -3 ) ÷ ( 4 )[tex]m \: = - \frac{3}{4} [/tex]but equation of a line is given by
m (x - x¹) = ( y - y¹)
[tex] - \frac{3}{4} (x - ( - 2)) \: = \: (y \: - ( - 2))[/tex][tex] - \frac{3}{4} (x + 2) \: = \: (y \: + \: 2)[/tex]expanding the bracket[tex] - \frac{3}{4} x \: - \: \frac{3}{2} \: = y \: + \: 2[/tex][tex]y \: = \: - \frac{3}{4} x \: - \: \frac{3}{2} \: - \: 2 \\ \\ y \: = - \frac{3}{4} x \: - \: \frac{7}{2} \\ \\ {y} \: = \frac{ - 3x \: - \: 14}{4} [/tex][tex]multiply \: by \: 4[/tex][tex]4 \: \times \: y \: = 4 \: \times \: \frac{ - 3x \: - 14}{4} [/tex][tex]4y \: = \: - 3x \: - \: 14[/tex]Equation of the line is 4y = -3x - 14Related Questions
plz help will mark brainlist
Answers
Answer:
1. 1/7
2. 1/4
Step-by-step explanation:
maths
Ill mark brainliest, question is attached
Answers
Answer:
-15u^2
Step-by-step explanation:
I need someone who will answer all five questions correctly. Give out 100 bonus points for who will answer all 5 correctly
Answers
Answer:
The circumference of the yellow circle is [tex]9\pi[/tex] or [tex]28.27cm^2[/tex] approximately, the circumference of the blue circle is [tex]6\pi[/tex] or [tex]18.85m^2[/tex] approximately, the circumference of the green circle is [tex]80\pi[/tex] or [tex]251.33mm^2[/tex] approximately, the circumference of the red circle is [tex]5\pi[/tex] or [tex]15.71cm^2[/tex] approximately, and the circumference of the pink circle is [tex]7\pi[/tex] or [tex]21.99cm^2[/tex] approximately.
Step-by-step explanation:
To find the circumference of a circle, you need to multiply the diameter of the circle and multiply it by [tex]\pi[/tex]. In this case, the circumferences of the yellow circle are [tex]9\pi[/tex] or approximately [tex]28.27cm^2[/tex], the circumference of the blue circle is [tex]6\pi[/tex] or approximately [tex]18.85m^2[/tex], the circumference of the green circle is [tex]80\pi[/tex] or approximately [tex]251.33mm^2[/tex], the circumference of the red circle is [tex]5\pi[/tex] or approximately [tex]15.71cm^2[/tex], and the circumference of the pink circle is [tex]7\pi[/tex] or approximately [tex]21.99cm^2[/tex].
Ferdinand is playing golf. He hits a shot off the tee box that
has a height modeled by the function h(t) = –16t2 + 80t,
where h(t) is the height of the ball, in feet, and t is the time
in seconds it has been in the air. The graph that models
the golf ball's height over time is shown below.
When does the ball reach its maximum height?
What is the maximum height of the ball?
Answers
Answer:
Maximum height of the ball = 100 m
Time to reach the maximum height = 2.5 seconds
Step-by-step explanation:
Function that models the height h(t) of the ball and time 't',
h(t) = -16t² + 80t
Convert this equation into vertex form,
h(t) = -16(t²- 5t)
= -16[t² - 2(2.5t) + (2.5)² - (2.5)²]
= -16[[t² - 2(2.5t) + (2.5)²] + 16(2.5)²
= -16(t - 2.5)² + 16(6.25)
= -16(t - 2.5)² + 100
By comparing this equation with,
g(t) = a(x - h)² + k
Here, (h, k) is the vertex of the parabola.
Vertex of the given parabola will be → (2.5, 100)
Therefore, maximum height of the ball = 100 m
Time taken by the ball to reach the maximum height = 2.5 seconds
anyone know questions 9 and 10
Answers
Answer:
8.j 9.b 10.f 11.a
Step-by-step explanation:
you welcome
In the equation, 15 does not have a variable.
Solution: B. 15
10. Perimeter is all the side lengths combined; add them all up.
(4x - 10) + (2x + 6) + 5x
Combine the like terms
11x - 4 units
Solution: H. (11x-4) units
A graph shows time (weeks) labeled 2 to 8 on the horizontal axis and height (inches) on the vertical axis. A line of orange dots increases from 0 to 9 weeks starting at 2 on the vertical axis. The graph shows the recorded heights of a plant in a soil experiment. Which statements describe the plant height function? Check all that apply. The function is linear. The function is quadratic. The height increases at a constant rate of change. The ratio of height and number of weeks is constant. There is no relationship between height and number of weeks.
Answers
Answer:
A.) The function is linear.
C.) The height increases at a constant rate of change.E
Step-by-step explanation:
Edge 2022
The function is linear and the height increases at a constant rate of change are the correct statements of the given graph.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Based on the description, it seems that the function is linear because the graph shows a line of dots that increases at a constant rate from 0 to 9 weeks.
Therefore, the following statements apply:
The function is linear.
The height increases at a constant rate of change.
Linear functions are those functions whose graph goes in a straight line. This function has one independent variable and one dependent variable.
The height increases at a constant rate of change. We can see as the time is increasing the height is increasing. We can determine this by slope of graph.
Hence, the function is linear and the height increases at a constant rate of change are the correct statements of the given graph.
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ3
uadrilateral JKLM is similar to quadrilateral NOPQ. Find the measure of side PQ.
Found your answer to the nearest tenth if necessary.
Answers
Can someone help me with this? (8x+5)+(−x 2−8)
Answers
Answer:40=6
Step-by-step explanation:
Answer:
[tex]-x^{2} + 8x - 3[/tex]
Step-by-step explanation:
determine the domain of the following graph
Answers
Answer:
[-5, 10) or you can write [tex]-5\le x < 10[/tex]
Step-by-step explanation:
The domain is the set of all values of x used in the function. Scan across the graph from left to right (much as you do when reading). The first point you find on the graph has an x-coordinate 5 (see the solid dot?). Then, as you continue reading across the graph, there are values of x used until you get to 10. The dot at x = 10 is open, not filled in. That indicates that the number x = 10 is NOT used by the function.
So the domain is all real numbers greater than or equal to -5 and less than 10.
[-5, 10) is called interval notation; a square bracket means the value next to it IS used by the function, a parenthesis means the value next to it is NOT used.
whats bigger a street or a track
Answers
Answer:
Most likely a street
Step-by-step explanation:
depends on how big the track is
please help ASAP! i need this done!
Answers
Answer:
∠2 (∴ ∠3 is also correct)∠1∠1 (∴ ∠4 is also correct)Step-by-step explanation:
1) Both the angles ∠2 & ∠3 form a linear pair with ∠1. Also, angles of a linear pair are supplementary to each other. So, both ∠2 & ∠3 are supplementary to ∠1. (Write any one)
2) ∠1 is located vertically opposite to ∠4. So, ∠1 & ∠4 are vertical angles.
3) Both the angles ∠1 & ∠4 share a common vertex & common side with ∠3. So, both ∠1 & ∠4 are adjacent to ∠3. (Write any one)
Which of the following relations is a function?
A. (0,4), (-3, 2), (5, 1), (-7, 2)
B. (0,0), (-3, 3), (5, 1), (-3, 5)
C. (5, 1), (-3, 4), (0, 1), (5,2)
D. (0,4), (-3, 6), (0, 3), (-7, 2)
Answers
Answer:
c is the one with function
Solve for x.
One side = 10
Another side = 9
One side = x
(It's a right triangle.)
Answers
Answer:
x = 4.3588989435406
I hope it's helps you
Find the area!
- please help!
Answers
Answer:
25 x 20 = 500
half of 25 = 12.5
12.5^2
156.25 x 3.14 = 490.625
490.625 divided by 2 = 245.3125
245.3125 + 500 = 745.3125 cm2 is your answer.
There are 200 marbles in the bag. John picks 10 marbles out of
the bag and 6 of them are red. What would be an estimate for
the number of red marbles in the bag?
Answers
Answer:
120
Step-by-step explanation:
10 x 20 = 200
thus 6 x 20 is 120
Which is warmer, the coldest temperature recorded in the USA, or the average temperature on Mars?
Answers
Answer:
average temperatures on mars, then you get the hottest temperatures...
Step-by-step explanation:
HELP ASAP!!!!
What is the volume of the following cylinder in cubic feet?
35.325 ft3
5,086.8 ft3
61,041.6 ft3
47.1 ft3
Answers
Answer:
35.325
Step-by-step explanation:
I got it right on Oddyseyware
Answer:
35.325
Step-by-step explanation:
its right on odyssey hope this help :]
can someone please help me
Answers
Answer:
Step-by-step explanation:
what is the correct form of the partial fraction decomposition for: start fraction 35-27x over 4xsquared+28x endfraction
Answers
Answer: The answer is A
Step-by-step explanation:
A/4x+B/x+7
The correct form of the partial fraction decomposition for the given expression is Option A
What is Partial Fraction Decomposition ?Partial Fraction Decomposition is the method of simplifying rational expressions.
The expression given is
[tex]\rm \dfrac{ 35-27x} { 4x^2+28x}[/tex]
Applying Partial Decomposition
[tex]\rm \rm \dfrac{ 35-27x} { 4x(x+7)}\\\\\\\dfrac{35}{4x(x+7)} - \dfrac{27x}{4x(x+7)}\\\\\\Taking \;A = 35/ x+7\\\\Taking \; B = -27/4\\\\[/tex]
It can be written as
[tex]\rm \dfrac{A}{4x} + \dfrac{B}{x+7}[/tex]
Therefore Option A is the answer.
To know more about Partial Factor Decomposition
https://brainly.com/question/2516522
#SPJ2
A relation R={(4,3)(5,4)(6,5)}then write its inverse
Answers
Answer:
R'={(3,4)(4,5)(5,6)}
Step-by-step explanation:
R={(4,3)(5,4)(6,5)}
R'={(3,4)(4,5)(5,6)}
Which expression is equivalent to x with the power of 2 +2x+2?
Answers
Answer:
The answer is the fourth one
Step-by-step explanation:
The sum of two numbers is 52 and the difference is 16. What are the numbers?
Answers
Answer:
18
Step-by-step explanatio:a 52 le quitas la diferencia de 16 y da 36 que lo divides entre 2 y es 18 por lo que 18+18=36+16=52
Step-by-step explanation:
[tex]here \: is \: your \: solution \\ \\ let \: the \: first \: number \: be \: x \\ \\ let \: the \: second \: number \: be \: y \\ \\ now \: according \: to \: question \\ \\ x + y = 52 \\ \\ and \: x - y = 16 \\ \\ now \: add \: both \: equation \\ \\ we \: will \: get \: \\ \\ 2x = 68 \\ \\ x = 68 \div 2 \\ \\ x = 34 \\ \\ now \: put \: the \: value \: of \: x \: in \: equation \\ \\ 34 + y = 52 \\ \\ y = 52 - 34 \\ \\ y = 18 \\ \\ x = 34 \: and \: y = 18 \\ \\ hope \: it \: helps[/tex]
2. Antonio dispone de un capital de $9,000.00
en una cuenta al 4% de interés anual y o
sabiendo que el capital acumulado al cab
one de un capital de $9,000.00 dólares, del que una parte la deposita
enta al 4% de interés anual y otra al 5% anual. Calcula ambas partes
que el capital acumulado al cabo de un año es de $9,400.00 dólares.
Answers
Answer:
La respuesta al ejercicio es:
$4,000.00 al 5% anual.$5,000.00 al 4% anual.Step-by-step explanation:
Teniendo en cuenta que el capital inicial es de $9,000.00 y el capital tras un año es de $9,400.00, se identifica en primera instancia que la ganancia gracias al interés anual fue de $400, por lo cual se pueden tener en cuenta las siguientes variables:
x = monto de dinero al 5% anual.y = monto de dinero al 4% anual.Y el siguiente sistema de ecuaciones:
x + y = 9000x * 5% + y * 4% = 400En la segunda ecuación, cambiaremos los porcentajes para facilitar los cálculos posteriores:
2. x * 0.05 + y * 0.04 = 400
Lo cual también se puede representar como:
2. 0.05x + 0.04y = 400
Procedemos a despejar una variable, en este caso despejaré la variable y de la primera ecuación:
x + y = 9000y = 9000 - xY la reemplazaré en la segunda ecuación:
0.05x + 0.04y = 4000.05x + 0.04 (9000 - x) = 400Ahora operamos:
0.05x + 360 - 0.04x = 400Restamos las variables x:
0.01x + 360 = 400Y despejamos el valor real de x:
0.01x = 400 - 360x = 40 / 0.01x = 4000Ya que x es el monto de dinero puesto al 5% anual, ahora sabemos que dicho monto fue $4,000.00, por último, reemplazamos este valor en la primera ecuación para identificar el valor de y:
x + y = 90004000 + y = 9000y = 9000 - 4000y = 5000Por último, sabemos que el monto de dinero puesto al 4% fue $5,000.00.
Ms.Boyers is baking a cake for the holiday. She needs 3 cups of milk and 1 cup of corn syrup. How many ounces of milk and corn syrup does she need in all
Answers
Answer:
she will need 24 ounces of milk and 8 ounces of corn syrup
Step-by-step explanation:
let me know if im right good luck!
Answer:
[tex]48[/tex] oz of milk
[tex]16[/tex] oz of corn syrup
Step-by-step explanation:
[tex]3\times16=48\\1\times16=16[/tex]
And the difference between the range and the mean (15. 13. 22, 18, 13. 12. 18, 16, 14, 18, 14)
Answers
Answer:
range °° heights - lowest = 22-12 = 10
mean °° average number = sum of all numbers÷ number of digits = 173÷ 11 =15.727
When the x coordinate is positive, which way do you move on the coordinate plane?
Answers
Answer:
to the right
Step-by-step explanation:
Answer:
Right.
Step-by-step explanation:
When the x coordinate is positive, you move right on the coordinate plane.
For reference, here are the other directions.
When the x coordinate is negative, you move left on the coordinate plane.
When the y coordinate is positive, you move up on the coordinate plane.
When the y coordinate is negative, you move down on the coordinate plane.
Represent 0.533 (only the last 3 is bar number) into a rational number
Answers
Answer:
[tex]\frac{8}{15}[/tex]
Step-by-step explanation:
We require 2 equations with the repeating 3 placed after the decimal point.
let x = 0.5333.. ( multiply both sides by 10 and 100 )
10x = 5.333... → (1)
100x = 53.333... → (2)
Subtract (1) from (2) tus eliminating the repeating 3
90x = 48 ( divide both sides by 90 )
x = [tex]\frac{48}{90}[/tex] = [tex]\frac{8}{15}[/tex]
Answer:
IT IS 8/15
Step-by-step explanation: Divide and multiply the fraction from 100 to tens
Help!!! I need this asap!
Answers
Answer:
x= 14.8
Step-by-step explanation:
√12²+8²= 4√13
56.3= sin-¹(12/4√13)
tan56.3= 21.6/4√13
x+8= √21.6²+4√13²
x= 14.8
Due tonight.. *no links*
Answers
Answer:
49°
Step-by-step explanation:
106 + 135 + 70 + x = 360
311 + x = 360
x = 49°
find the volume of the figure. (3.14 as pi)
Answers
Answer:
84
Step-by-step explanation:
7x3x4
,,,,,,,,,,,,,,,,
Answer:
84 in^3
v=length x width x height
Why do u need pi in this, there are no circle or sphere or cone, or whatever
hope that answers your question
good luck and stay safe
Step-by-step explanation:
