What is the equation of the line between (0,10) and (4,20)

4y = -10x+40

Step-by-step explanation:

Using the 2 point formula, y-y1/x-x1 = y2-y1/x2-x1,

sub it in,

y-10/x-0 = 20-10/0-4

y-10/x-0 = 10/-4   use cross multiply thing to eliminate denominators

-4(y-10) = 10 (x-0)

-4y+40 = 10x

therefore the equation is 4y = -10x+40

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.