Answers
Answer:
y = 3x-10
Step-by-step explanation:
gradient = (y2-y1) / (x2-x1)
substitute the values will give you:
(1-3)/(7-1) = -2/6 = -1/3
the gradient of a perpendicular line is always the negative reciprocal (multiply by -1 and flip the fraction), which will give you 3/1 = 3
now, let's find the y-intercept, we need to substitute x and y:
2 = (3x4) + c
c is the y-intercept
2 = 12 + c
c = -10
hope that helps!
(a). The gradient of line AB = -1/2
(b). The gradient of a line perpendicular to AB = 2
(c). The equation of a line that passes through (4, 2) and perpendicular to AB is y = 2x -10.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂),
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
m = (1-3)/(7-3)
m = -1/2
The gradient of AB = -1/2.
The gradient of a line perpendicular to AB,
= negative reciprocal of slope of AB.
= 2.
Then the equation of a line that passes through (4, 2) and perpendicular to AB,
y - 2 = 2(x - 4)
y = 2x -8 - 2
y = 2x -10.
Therefore, all the required values are given above.
To learn more about the slope;
brainly.com/question/3605446
#SPJ2
Related Questions
Ann is using a recipe that serves 20 people. The recipe requires 1/2 of a cup of sugar. How many cups of sugar does Ann need to serve 70 people with this recipe?
Answers
Answer:
Step-by-step explanation:
x/70=0.5/20
x=35/20
x=1.75
Ann will need 1.75 cups of sugar.
Find the greatest common factor of 12c^3 and 20n^4
Answers
Answer:
4
Step-by-step explanation:
Find the prime factors of each term in order to find the greatest common factor.
f(x)=x^2 g(x)=x-5
(f of g)(-2)=
Answers
Step-by-step explanation:
search u po sa math papa dali LNG yan
I need help ASAP please
I will give thanks with Brainlist for correct ans.
Answers
Answer:
rotations, translations, and reflections will not have an effect on a triangles size or shape. They just move it, rotate it, or mirror it.
Only a dilation will change a triangles size. Dilations scale a triangle up or down which change the triangles segment lengths but does not change it's angle sizes.
The perimeter of a triangular field is 748 metres. The lengths of the three sides of the field are in the ratios 2 : 7 : 8. Calculate the length, in metres, of the largest side of the field.
Answers
The perimeter of a triangular field is 748 metres. The lengths of the three sides of the field are in the ratios 2 : 7 : 8. Calculate the length, in metres, of the largest side of the field.
=(864m)
very confusing i know
Center (-10, -4), Point on Circle: (4,2)
h=
k=
r^2=
Fill in the parenthesis for the equation of the circle:
(Blank 1)² +(Blank 2)²= (Blank 3)
*Just type what you would write in the parentheses with no spaces
Answers
Answer:
(x + 10)² + (y + 4)² = 232Step-by-step explanation:
Given Center = (-10, -4)Point on circle = (4, 2)To find The equation of circleSolutionRemember the standard equation of circle:
(x - h)² + (y - k)² = r², where (h, k) is the center and r is radiusWe have
h = -10, k = -4Use distance formula (Pythagorean theorem) to work out the length of the radius. We know that radius is the distance from the center to any point on the circle.
Here we are finding the distance between points (-10, -4) and (4, 2)
r² = (-10 - 4)² + (-4 - 2)² r² = 14² + 6²r² = 232So the equation is:
(x + 10)² + (y + 4)² = 232Help me plsss
And show identity. Thank you:)
Answers
Answer:
see the formula in book
Step-by-step explanation:
change the first 2 brackets into cos sin like that
then after,change both into another formula
sin theta plus cos theta will come ans
plz help if you do then GOD BLESS UR POOR SOAL
Answers
Answer:
hi
Step-by-step explanation:
Arborists use the diameter of a tree trunk to predict the age of a tree. The following computer output and residual plot
for the power model were provided.
The predicted age of a tree that has a diameter of 600 mm is approximately
O 10 years.
112 years.
О 210 years.
O 573 years.
Answers
Answer:
C. 210
Step-by-step explanation:
I just took it on edge
Answer:
c) 210
Step-by-step explanation:
When you veiw the chart 210 is where it approximatly falls there
What is the highest percent of probability you can have?
Answers
Answer:
100%
Step-by-step explanation:
Ali found four pieces of wire in his tool drawer. Here are their lengths (in centimeters).
13, 4.37 , 15.4 , 5.2 What is the total length of the four pieces?
Answers
Answer:
37.57 centimetres is the length of the wire
Step-by-step explanation:
37.57 centimetres
please mark as brilliant
Fill in the blanks. (With picture) 15 pts
(Simplify your answers. Use integers or fractions for any numbers in the expressions.
Answers
Given:
The expression is:
[tex]\left(\dfrac{11}{19}n-8\right)+\left(\dfrac{1}{19}n+10\right)=\left(\_\_\_+\dfrac{1}{19}n\right)+\left(-8+\_\_\_\right)[/tex]
[tex]=\_\_\_n+\_\_\_[/tex]
To find:
The missing values.
Solution:
We have,
[tex]\left(\dfrac{11}{19}n-8\right)+\left(\dfrac{1}{19}n+10\right)[/tex]
It can be written as
[tex]\left(\dfrac{11}{19}n-8\right)+\left(\dfrac{1}{19}n+10\right)=\left(\dfrac{11}{19}n+\dfrac{1}{19}n\right)+\left(-8+10\right)[/tex]
So, the values for the first two boxes are [tex]\dfrac{11}{19}n[/tex] and 10 respectively.
On simplification, we get
[tex]\left(\dfrac{11}{19}n-8\right)+\left(\dfrac{1}{19}n+10\right)=\left(\dfrac{11+1}{19}n\right)+\left(2\right)[/tex]
[tex]\left(\dfrac{11}{19}n-8\right)+\left(\dfrac{1}{19}n+10\right)=\dfrac{12}{19}n+2[/tex]
So, the values for third and fourth boxes are [tex]\dfrac{12}{19}[/tex] and 2 respectively.
Solve for x, rounding to the nearest hundredth.
2^4x = 36
Answers
Answer:
5/4
Step-by-step explanation:
36 is the 5tf power of 2 so we can rewrite the equation as
[tex] {2}^{4x} = {2}^{5} [/tex]
Since the expressions has same base the powers must be equal to
4x = 5 and x = 5/4
how many inches are in 3 yards
Answers
Answer:
108
Step-by-step explanation:
36 inches in a yard
12 inches in 1 foot, 3 feet in 1 yard.
12 * 3 = 36, 36 * 3 = 108
108 inches in 3 yards
Hope this helps!
Monique bought 3 boxes of cereal at the grocery store. Each box of cereal costs c dollars. Which equation represents the total amount of money, t, Monique spent on cereal?
Answers
Answer:
3c = t
Step-by-step explanation:
3 cereal boxes is 3c and the total is t. so 3c = t
Answer:
3c = t
3 is the amount of boxes, c is the money, therefore, it is 3c=t, which means c times the number of boxes equals t
Arrange the numbers in descending order. 459210,124580,306396
Answers
Answer:
124580 > 306396 > 459210
Step-by-step explanation:
Does anyone know why x is normally used for an unknown number?
Answers
Then you are able to substitute in X and it can have a infinite number of values catered to the question.
3. What is true about the graph of a system of equations that has infinitely many solutions? A. The lines will have the same slope but different y-intercepts. B. The lines will have the same slope and the same y-intercepts. C. The lines will have different slopes and different y-intercepts. D. The lines will have different slopes but the same y-intercepts.
Answers
Answer:
B
Step-by-step explanation: for infinitely many solutions the two lines must lie directly on top of one another- so same slope and same y-intercept
The lines in the graph of a system of equations that has infinitely many solutions will have The lines will have the same slope and the same y-intercepts.
What is a slope?A slope is a ratio that describes the steepness and the direction of a line.
What is the y-intercept?The y-intercept is the point at which a line touches the y-axis. This means that x=0.
A system of equations will have infinitely many solutions when they are the same line or when the two lines coincide on every point that makes up the line. Two lines are the same when the slope and the y-intercept of the lines are also the same.Thus we can say that the lines in the graph of a system of equations that has infinitely many solutions will have the same slope and the same y-intercepts. The correct answer is option B.
Learn more about slopes and y-intercepts here-https://brainly.com/question/25722412
#SPJ2
PLEASEE HELP ME WITH THIS!!!!
is this number rational or irrational?
Answers
Answer:
it is a rational
Step-by-step explanation:
:)
Answer:
Rational
Step-by-step explanation:
2/3 +[tex]\sqrt{2}[/tex]= about 2.08088
(rational because it can be expressed as an integer)
Se requiere saber la elevación x los 20.00 m de longitud , al construir una carretera , sabiendo que pendiente es de 5 %
Answers
Answer:
La elevación de la carretera es de aproximadamente 0.999 metros.
Step-by-step explanation:
Cuando se dice que la pendiente es de 5 %, se quiere decir que la tangente del ángulo de elevación de la carretera es de 0.05. Trigonométricamente hablando, podemos calcular el ángulo de la pendiente como sigue:
[tex]\theta = \tan^{-1} 0.05[/tex]
[tex]\theta \approx 2.862^{\circ}[/tex]
La elevación de la carretera se determina mediante la función seno:
[tex]\sin \theta = \frac{h}{l}[/tex] (1)
Donde:
[tex]h[/tex] - Elevación de la carretera, medida en metros.
[tex]l[/tex] - Longitud de la carretera, medida en metros.
Si sabemos que [tex]l = 20\,m[/tex] y [tex]\theta \approx 2.862^{\circ}[/tex], entonces la elevación de la carretera es:
[tex]h = l\cdot \sin \theta[/tex]
[tex]h \approx 0.999\,m[/tex]
La elevación de la carretera es de aproximadamente 0.999 metros.
Considerando la regla de tres, la elevación de la carretera es de 1 metro.
Regla de tresLa regla de tres es una forma de resolver problemas de proporcionalidad entre tres valores conocidos y un valor desconocido, estableciendo una relación de proporcionalidad entre todos ellos.
Es decir, lo que se pretende con ella es encontrar el cuarto término de una proporción conociendo los otros tres.
Si la relación entre las magnitudes es directa, es decir, cuando una magnitud aumenta, la otra también (o cuando una magnitud disminuye, la otra también), se debe aplicar la regla de tres directa.
Para resolver una regla de tres directa se debe seguir la siguiente fórmula, siendo a, b y c datos conocidos yx la variable a calcular:
a ⇒ b
c ⇒ x
Por lo tanto: [tex]x=\frac{cxb}{a}[/tex]
ElevaciónUna pendiente de 5% indica que por cada 100 m de longitud hay 5 m de pendiente.
Entonces podes aplicar la siguiente regla de tres: si por cada 100 m de longitud hay 5 m de pendiente o elevación, por 20 metros de longitud ¿cuál será la pendiente?
[tex]elevacion=\frac{20 metrosx5 metros}{100 metros}[/tex]
elevación= 1 metro
La elevación de la carretera es de 1 metro.
Aprenda más sobre la regla de tres:
https://brainly.com/question/23368324
https://brainly.com/question/18913787
https://brainly.com/question/24814906
#SPJ5
Is this right please help me
Answers
Answer:
dw bsty it's right I think
Does this scatter plot show a positive trend a negative trend or no trend
Answers
HELP ITS DUE AT 11 AND IT 10:20
Answers
Answer and Step-by-step explanation:
The answer is M, where for every 3 oxygen atoms, there are 3 oxygen atoms.
In a chemical reaction, there needs to be the same amount of particles/atoms on the reactants side and on the products side. So, since this answers says that for every 3 oxygen atoms in the reactants, there are 3 oxygen atoms in the products, the answer is correct.
#teamtrees #PAW (Plant And Water)
Seiko takes pottery classes at two different studios. Is there a number of hours for which Seiko’s cost is the same at both studios?
Answers
I hope this helps a little bit.
2. Target sells a pack of paper plates at a price of 75 plates for $21.50. What is the
unit rate for each plate? *
help ASAP
Answers
Answer:
28 cents roughly
Step-by-step explanation:
Please give me the correct answer.Only answer if you're very good at math.Please don't put a link to a website.
Answers
Answer:
c=5/9f+-160/9 f=9c+160/5
Step-by-step explanation:
Answer:
First box: F (because we don't know the degrees Fahrenheit yet.
Second box: -62.1 (the degrees Celsius it tells us to find the equivalent of
Step-by-step explanation:
Solving the equation will go like this:
5/9(F - 32) = -62.1
multiply both sides by 9 to get rid of the fraction
5 (F - 32) = -558.9
divide both sides by 5
F - 32 = -111.78
add 32 to both sides
F = -79.78
I checked the math twice.
Let me know if you have questions.
Write the equation of the line parallel to x = 7 which passes through (0, 1).
Answers
Answer:
x = 0
Step-by-step explanation:
If the line is parallel to x = 7, it will also be a vertical line.
Vertical lines will only have one possible x-value, and since the line passes through (0, 1), this means the vertical line goes through the x value 0.
The equation of the line will be x = 0
A pair of jeans cost $40. They are on sale 20% off. How much will you save?
Answers
$8.00 is how much you will save
Answer:
you will save 8$ and the price will be $32
PLEASE AMSWER QUESTOON 1 AND 2 PLEASE ITS EASY PLES I NEED IT PLS
Answers
Answer:
1. 27 bouquets
2. a, d, e
Step-by-step explanation:
1. Rate of increase is 1 bouquet:9 flowers (found by dividing 3 and 27 by GCF which is 3) so if she has 243 flowers you divide that by 9 to get 27 bouquets.
THE COFFICENT OF y in term -y /3 is
Answers
Answer:
-1/3
Step-by-step explanation:
hope it helps thanks
Answer:
-1/3
Step-by-step explanation: