Answer:
El punto es (3, 1)
Step-by-step explanation:
Sabemos que la ecuación de un circulo centrado en el punto (a, b), con radio R, se escribe como:
(x - a)^2 + (y - b)^2 = R^2
En este caso, sabemos que el diametro de nuestro circulo es igual al segmento que uno los puntos A(2, 3) y B(4, -1) (y el diametro es el doble del radio)
Entonces el centro del punto es exactamente el punto medio en el segmento dado.
Para encontrar el punto medio en el segmento dado, tenemos que encontrar el punto medio entre los valors en x, y el punto medio entre los valores en y.
Donde el punto medio entre dos valores a y b se calcula como:
punto medio = (a + b)/2
El punto medio en x es:
x = (2 + 4)/2 = 3
El punto medio en y es:
y = (-1 + 3)/2 = 2/2 = 1
Entonces el punto medio en el segmento es:
C(x, y) = C(3, 1)
Esto quiere decir que el centro de la circunferencia va a ser el punto (3, 1)
Answer:
b. 36
Step-by-step explanation:
You have to use Pythagorean theorem. A squared + b squared = c squared.
a=12 12^2 (12 squared)= 144
b=9 9^2 (9 squared)= 81
144+81=225
Then you find the square root of 225 which is 15. Since you have the length for side c.
12+9+15=36
This is simple addition so: 2+1+7=10
Answer:
Option "A" is the correct answer to the following question.
Step-by-step explanation:
Given:
Total number of experiment = 50
Find:
Probability to get less then 4:
Computation:
⇒ Total number can be get less then 4 = 4+2+3
⇒ Total number can be get less then 4 = 9
⇒ Probability of an outcome = Total number of outcomes / Total number of experiment
⇒ Probability to get less then 4 = Total number can be get less then 4 / Total number of experiment
⇒ Probability to get less then 4 = 9 / 50
Answer: QE = 10
Step-by-step explanation: To solve this problem, it's important to understand that the diagonals of a parallelogram bisect each other.
This means that E is the midpoint of diagonal SQ.
So we can setup the equation x² + 9x = 4x + 6.
To solve this polynomial equation, set it equal to zero first.
So we have x² + 5x - 6 = 0 and we get (x + 6)(x - 1) = 0
when we factor the left side of the equation.
So this means that x = -6 or x = 1.
However, -6 will give us a negative length when we plug it in
to find QE so this will not work.
However, plugging 1 in will give us 10 as a length so QE = 10.