Find the value of p if the line which passes through (-1,...
Find the value of p if the line which passes through (-1, -p) and (-2,2) is parallel to the line 2y+8x-17=0?
\(\frac{-2}{7}\)
\(\frac{7}{6}\)
\(\frac{-6}{7}\)
2
Correct answer is D
Line: 2y+8x-17=0
recall y = mx + c
2y = -8x + 17
y = -4x + \(\frac{17}{2}\)
Slope m\(_1\) = 4
parallel lines: m\(_1\). m\(_2\) = -4
where Slope ( -4) = \(\frac{y_2 - y_1}{x_2 - x_1}\) at points (-1, -p) and (-2,2)
-4( \(x_2 - x_1\) ) = \(y_2 - y_1\)
-4 ( -2 - -1) = 2 - -p
p = 4 - 2 = 2
Rationalize \(\frac{2 - \sqrt5}{3 - \sqrt5}\)...
If x varies inversely as the cube root of y and x = 1 when y = 8, find y when x = 3 ...
If the minimum value of y = 1 + hx - 3x2 is 13, find h. ...
If tan x = \(\frac{3}{4}\), 0 < x < 90\(^o\), evaluate \(\frac{\cos x}{2 sin x}\) ...
Find the derivatives of (2 + 3x)(1 - x) with respect to x ...
Given that (2x - 1)(x + 5) = 2x2 - mx - 5, what is the value of m ...
In the diagram, O is the centre of the circle. OM||XZ and < ZOM = 25º. Calculate ∠X...
In the diagram above PQT is a tangent to the circle QRS at Q. Angle QTR = 48° and ∠QRT ...