Find the missing endpoint if s is the midpoint of rt r(-9,4) and s(2,-1) ; find T
2 answers:
Answer: The coordinates of point T are (13, -6).
Step-by-step explanation: Given that point S is the midpoint of segment RT, with coordinates R(-9, 4) and S(2, -1),
we need to determine the coordinates of point T.
The midpoint formula states that the midpoint between points (a, b) and (c, d) is ((a + c)/2, (b + d)/2).
Let T be (h, k). According to the problem:
Solving these equations yields T at (13, -6).
So, the required coordinates for point T are (13, -6).
Point T has the coordinates (13, -6).
Detailed explanation
Given Information:
- Point S(2, -1) is the midpoint of segment RT.
- Point R is located at (-9, 4).
Goal:
Determine the coordinates of endpoint T.
Method:
A midpoint coordinates represent the point exactly halfway between two endpoints on a segment.
Midpoint Formula
This formula calculates the midpoint's x and y by averaging the x and y of both endpoints (x₁, y₁) and (x₂, y₂).
- The midpoint is given as M = S(2, -1).
- Define R(x₁, y₁) = (-9, 4) and find T(x₂, y₂).
We proceed to find T’s missing coordinates.
Thus, part 1 involves computing the x-coordinate of T, and part 2 the y-coordinate.
Part 1
Multiply both sides by 2.
Add 9 to both sides to isolate T's x-coordinate.
Part 2
Multiply both sides by 2.
Subtract 4 from both sides to solve for T's y-coordinate.
Hence, the coordinates of point T are (13, -6).
Additional resources
- How to find the equation of a line in slope-intercept form parallel to a given line and passing through a specific point: brainly.com/question/1473992
- Another example of midpoint calculation: brainly.com/question/3269852
- Determining the equation of Nolan’s line: brainly.com/question/2657284
Keywords: midpoint, missing endpoint, line segment, endpoints, middle, between, average, abscissa, ordinate, coordinates, R, S, T
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Answer: 0.12
Step-by-step explanation:
There are a total of 65 candy bars. Within this amount;
2 candy bars contain 300 to 350 calories
1 candy bar contains 350 to 400 calories
4 candy bars contain 400 to 450 calories
1 candy bar contains 450 to 500 calories
Thus, the overall ratio of candy bars with more than 300 calories is;
= (2 + 1 + 4 + 1) / 65
= 8/65
= 0.12
Response:
la respuesta está abajo
Explicación paso a paso:
Debemos encontrar la ecuación para poder graficar.
De acuerdo a la afirmación, la ecuación sería:
E = v * t - Ei
Siendo Ei (20) la elevación inicial, t el tiempo transcurrido y la velocidad de 4, realizamos la sustitución y obtenemos:
E = 4 * t - 20
A continuación, debemos calcular los valores correspondientes:
E (0) = 4 * 0 - 20 = -20
E (1) = 4 * 1 - 20 = -16
E (2) = 4 * 2 - 20 = -12
E (3) = 4 * 3 - 20 = -8
E (4) = 4 * 4 - 20 = -4
E (5) = 4 * 5 - 20 = 0
Si graficamos, tendríamos la imagen anexa:
