The distance between the point (4, 3) and the intersectio...
The distance between the point (4, 3) and the intersection of y = 2x + 4 and y = 7 - x is
\(\sqrt{13}\)
\(3\sqrt{2}\)
\(\sqrt{26}\)
\(10\sqrt{5}\)
Correct answer is B
P1 (4, 3), P2 (x, y)
y = 2x + 4 .....(1)
y = 7 - x .....(2)
Substitute (2) in (1)
7 - x = 2x + 4
7 - 4 = 2x + x
3 = 3x
x = 1
Substitute in eqn (2)
y = 7 - x
y = 7 - 1
y = 6
P2 (1, 6)
Distance between 2 points is given as
D = \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)
D = \(\sqrt{(1 - 4)^2 + (6 - 3)^2}\)
D = \(\sqrt{(-3)^2 + (3)^2}\)
D = \(\sqrt{9 + 9}\)
D = \(\sqrt{18}\)
D = \(\sqrt{9 \times 2}\)
D = \(3\sqrt{2}\)
Find the gradient of the line passing through the points \((\frac{1}{2}, \frac{- 1}{3}) ...
Given that tan x = 5/12, what is the value of sin x + cos x ?...
Find the mean of the following 24.57, 25.63, 24.32, 26.01, 25.77...
If x + 0.4y = 3 and y = \(\frac{1}{2}\)x, find the value of (x + y)...
Given that (2x + 7) is a factor of \(2x^2 + 3x - 14\), find the other factor...
If y2+ 14y + k is a perfect square, then k =...
\(\begin{array}{c|c} \text{Age in years} & 10 & 11 & 12 \\ \hline \text{Number of pupils...