Geometry Answers

Jonny is writing a program for a video game. For one part of the game he uses the rule given bellow to move objects on the screen. Give the output that the rule gives for the inputs. (X,y)

given the points below, find xy. round to the nearest hundredth. x(-1,2) and y(4,0)

M<PXQ=(8x-3)°,m<PXS=(10x+30)°,find the value of ‘x’ and m<QXS

Polygons

Jonny is writing a program for a video game. For one part of the game he uses the rule given below to move objects on the screen.

Showing all your work, give the output that the rule gives for the inputs.

(x, y)→(x−7.5, y+6.8)

{"version":"1.1","math":"<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo><mi>x</mi><mo>,</mo><mo>&#xA0;</mo><mi>y</mi><mo>)</mo><mo>&#x2192;</mo><mo>(</mo><mi>x</mi><mo>-</mo><mn>7</mn><mo>.</mo><mn>5</mn><mo>,</mo><mo>&#xA0;</mo><mi>y</mi><mo>+</mo><mn>6</mn><mo>.</mo><mn>8</mn><mo>)</mo></math>"}

First input: (4.4, 2.5)

Second input: (9.7, -2.9)

Q2. Find the distance of 𝑃(−3,2) from the line with equation 5𝑥 + 12𝑦 + 11 = 0.

Find the equation of the line passes through the point (2,3) and the point of 

intersection of the line 3𝑥 + 2𝑦 = 2 and 4𝑥 + 3𝑦 = 7 meet.

1) The angles of a pentagon are, x°, (x+20)°, (x-15)°, 2x°, (3x/2+30)°. Find x.

1. Find the equation of the locus of the mid-point of the chords of the curve 5x^2 + 4y^ 2 = 6 with gradient 3.
2. P is a variable point on the curve x^ 2 + 4y^ 2 = 25 and A is the point (2, 6) . Find the equation of the locus of the mid-point of AP.