Question

Отметьте две точки О и Е так,чтобы ОЕ=8 см.Постройте окружность с центром О и радиусом 2 см и окружность с центром Е и радиусом 4 см.Пересекаются ли они ??? Помогите пожалуйста,если можно чертёж. Спасибо !

Answer 1

Нет не пересекаются, чтоб они пересекались их радиусы в сумме должны быть более 8

Answer 2

Solving for Points O and E

To find two points O and E such that OE = 8 cm, we can use the distance formula to solve for the coordinates of O and E. The distance formula is given by:

Distance Formula: The distance between two points (x1, y1) and (x2, y2) is given by: \[ \sqrt{(x2 - x1)^2 + (y2 - y1)^2} \]

Let's solve for the points O and E using the given distance OE = 8 cm.

Calculating the Coordinates of O and E

Using the distance formula, we can solve for the coordinates of O and E. Let's assume the coordinates of O are (x1, y1) and the coordinates of E are (x2, y2).

Given: OE = 8 cm

We can set up the equation: \[ \sqrt{(x2 - x1)^2 + (y2 - y1)^2} = 8 \]

Solving this equation will give us the coordinates of O and E.

Plotting the Circles

After obtaining the coordinates of O and E, we can plot the circles with centers O and E and radii 2 cm and 4 cm, respectively.

Determining if the Circles Intersect

Once the circles are plotted, we can determine if they intersect by checking if the distance between the centers of the circles is less than the sum of their radii. If the distance between the centers is equal to the sum of their radii, the circles intersect.

Let's proceed with solving for the coordinates of O and E and plotting the circles to determine if they intersect.