Answer:
radius = √5 = 2.24 to nearest hundredth.
Step-by-step explanation:
(x + 3)^2 + (y + 3)^2 = 5 comparing with the standard form
(x - h)^2 + (y - k)^2 = r^2
-h = 2 so h = -3, -k = 3 so k = -3.
r^2 = 5 so r = √5.
Answer:
Pedro spent 9 weeks with his uncle and his friend.
Step-by-step explanation:
First, you need to find the amount of weeks Pedro spent with his friend. The statement indicates that he spent two weeks more with his friend than with his uncle which means that you have to add the number of weeks he spent with his uncle plus 2, which you can show in a number line:
2
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1 2 3 4 5 6 7 8 9 10

Now, you can find the and answer by adding up the number of weeks he spent with his uncle plus the weeks he spent with his friend:

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1 2 3 4 5 6 7 8 9 10

According to this, the answer is that Pedro spent 9 weeks with his uncle and his friend.
The speed of one car is 'S'. The speed of the other car is (S + 10).
In 5 hours, the first car travels (5S) miles, and the other car travels 5(S + 10) miles.
Since they're going in opposite directions, the distance between them at any time
is the sum of the distance that each one has traveled.
500 = (5S) + 5(S + 10)
500 = 5S + 5S + 50
500 = 10S + 50
Subtract 50 from each side:
450 = 10S
Divide each side by 10
S = <u>45</u>
S + 10 = <u>55</u>
Answer:
El perímetro de la región impresa es 72 cm y su área es 288 cm².
Step-by-step explanation:
1. Tenemos el perímetro de la hoja de papel:
P₁ = 96 cm = 2l₁ + 2a₁ (1)
Como sabemos el margen superior, inferior, izquierdo y derecho podemos encontrar la relación entre el largo y ancho del rectángulo interno (región impresa) con el largo (l) y ancho (a) del rectángulo externo (hoja de papel):
(2)
(3)
El perímetro del rectángulo interno es:
(4)
Introduciendo la ecuación (2) y (3) en (4):
Por lo tanto el perímetro del rectángulo interno (región impresa) es 72 cm.
2. Ahora para encontrar el área rectángulo interno debemos encontrar el largo y ancho del mismo, sabiendo que:
(5)
Introduciendo (5) en (4):



Entonces el área es:

Por lo tanto el área del rectágulo interno (región impresa) es 288 cm².
Espero que te sea de utilidad!