Answer:
(3, 2), (6, 4)
Step-by-step explanation:
Since one end (A) of the segment AB is at the origin, the required points will be 1/3 and 2/3 of the coordinates of B:
(1/3)(9, 6) = (3, 2)
(2/3)(9, 6) = (6, 4)
Answer:
Option B is correct.
Step-by-step explanation:
We need to write the above equation in square root form.
We know that 1/4 = ![\sqrt[4]{x}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%7D)
So, can be written as:
![(\sqrt[4]{10})^{3x}](https://tex.z-dn.net/?f=%28%5Csqrt%5B4%5D%7B10%7D%29%5E%7B3x%7D)
Option B is correct.
Slope = (y₂- y₁) / (x₂- x₁)
Points C( 3, -5) and D (6, 0) compare to (x₁, y₁) and (x₂, y₂)
Slope = (0 - -5) / (6- 3) = (0+5) / (3) = 5/3
Slope = 5/3
Equation of line given a slope and point, y - y₁ = m(x - x₁)
m = 5/3, let point C( 3, -5) = (x₁, y₁)
y - - 5 = (5/3) (x - 3)
y + 5 = (5/3)(x - 3)
3(y + 5) = 5(x - 3)
3y + 15 = 5x - 15
3y = 5x - 15 - 15
3y = 5x - 30
Hence the equation of the line is 3y = 5x - 30
Step-by-step explanation:
Since the triangles are right angled and are similar,
by Pythagoras theorem,
(10√3)^2 = (5√3)^2 + a^2
a = 15, a > 0
Topic: Pythagoras theorem
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3 doubled equals 6, so every second multiple of three is also a multiple of six.
Examples:
3 times 4 is 12, and 6 times 2 is 12
3 times 6 is 18, and 6 times 3 is 18
3 times 8 is 24, and 6 times 4 is 24
