Respuesta:
El punto A(-3, 3) pertenece a la recta.
El punto B(0, -15) no pertence a la recta.
Explicación paso a paso:
Consideremos la siguiente ecuación de la recta en forma estandar.
-4x - y + 15 = 0
Para verificar si los puntos A y B pertencen a la recta, primero la transformaremos a la forma explícita.
-4x - y + 15 = 0
-4x + 15 = y
y = -4x + 15
El punto A(-3, 3), tiene coordenada x -3 y coordenada y 3. Reemplazaremos x en la ecuación de la recta y veremos si obtenemos el mismo valor de y.
y = -4(-3) + 15 = 3
El punto A(-3, 3) pertenece a la recta.
El punto B(0, -15), tiene coordenada x 0 y coordenada y -15. Reemplazaremos x en la ecuación de la recta y veremos si obtenemos el mismo valor de y.
y = -4(0) + 15 = 15
El punto B(0, -15) no pertence a la recta.
The statement which would best describe the line segments drawn in relation to one another is " They are parallel and congruent " ⇒ 3rd answer
Step-by-step explanation:
In a translation,
- Every point of the object must be moved in the same direction.
- Every point of the object must be moved for the same distance.
- The lines drawn from each point to its image are parallel and congruent.
The rules of translation:
- If the point (x , y) translated horizontally to the right by h units then its image is (x + h , y)
- If the point (x , y) translated horizontally to the left by h units then its image is (x - h , y)
- If the point (x , y) translated vertically up by k units then its image is (x , y + k)
- If the point (x , y) translated vertically down by k units then its image is (x , y - k)
∵ Δ JOY is translated using the rule (x, y) → (x + 3, y - 2)
∵ Δ J'O'Y' is its image after translation
- That means each point move 3 units to right and 2 units town
∵ Line segment JJ' joins the vertex J by its image J'
∵ Line segment OO' joins the vertex O by its image O'
- The lines drawn from each point to its image are parallel
and congruent
∴ JJ' // OO'
∴ JJ' ≅ OO'
The statement which would best describe the line segments drawn in relation to one another is " They are parallel and congruent "
Learn more:
You can learn more about translation in brainly.com/question/2451812
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First we want to find how much an individual biscuit costs.
If 5 biscuits costs 30p, then
5 x 1 biscuit = 30p
divide both sides by 5
1 biscuit = 6p
If one biscuit costs 6p, and we want to know how much 7 biscuits cost, then:
7 x 6p =42p
7 biscuits costs 42 p
Answer:
2%
Step-by-step explanation: