Answer:
<h2>6</h2>
Step-by-step explanation:
We know:
If a ≤ b ≤ c are the sides of a triangle, then a + b > c.
We have a = x, b = 2x and c = 15 cm.
Therefore x ≤ 15 and 2x ≤ 15 ⇒ x ≤ 7.5
Therefore we have the inequality:
x + 2x > 15
3x > 15 <em>divide both sides by 3</em>
x > 5 and x ≤ 7.5
Finally x = 6
Answer:
25
Step-by-step explanation:
Replace 4 for x in this equation
(4)(4)+9
16+9
25
Hope this helps!
The coordinates of point P along AB so that the ratio of AP to PB is 3 to 1 is (4,13).
<h3>What are coordinates?</h3>
A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
Given that the ratio of the two lines is 3:1, therefore, we can write,
m:n = 3:1
Also, the coordinate of the endpoints of the line are,
A = (x₁, y₁) = (1, 7)
B = (x₂, y₂) = (5, 15)
Now, Using the Section formula the coordinate of the point P can be written as,
Hence, the coordinates of point P along AB so that the ratio of AP to PB is 3 to 1 is (4,13).
Learn more about Coordinates:
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recall that x = rcos(θ), therefore, rcos(θ) = -2, is simply x = -2, which is a vertical line.