<u>Answer:</u>
<em>Equation is 4x-6(6x-1) = -11
</em>
<u>Step-by-step explanation:</u>
<em>The set of equations given are
</em>
<em>6x-y=1
</em>
<em>4x-3y=-11
</em>
A pair of linear equations in <em>two variables x and y is given</em> in the set of equations. If there are two variables we require two equations to find the <em>value of variables</em>. Substitution is one among the methods used to solve pair of linear equations in two variables.
Here we have to <em>determine the value of y</em> from the first equation and then substitute it in the second equation.
<em>6x-y=1
</em>
<em>y=6x-1
</em>
<em>Substituting this value in second equation 4x-6y=-11 </em>
<em>we get </em>
<em>4x-6(6x-1) = -11
</em>
Answer:
(x+1)2+(y−2)2=5
Explanation:
The general form for a circle with center
(a,b) and radius r is XXX(x−a)2+(y−b)2=r2
With center (−1,2) and given that (0,0) is a solution (i.e. a point on the circle),according to the Pythagorean Theorem: XXX r 2=(−1−0)2+(2−0)2=5
and since the center is (a,b)=(−1,2)by applying the general formula we get:XXX(x+1)+(y−2)2=5
Step-by-step explanation:
its already in the answer
Answer:
Step-by-step explanation:∠ MON= -45°→→ angle lies in fourth quadrant.
Where, MN represents the path of rock, which is a straight line.
Taking the Horizontal and vertical component of OM,to get the coordinate of point M
The coordinate of point M will be [1.25 cos (-45°), 1.25 sin(-45°)]=
Taking O as center and Coordinates of O as (0,0) and Coordinates of M as () we get the equation of line OM as
y= tan (315°)× x
As general form of equation of line passing through the origin will be,
y= m x, where m is angle made by line with positive direction of x axis.
m= (360-45)°= 315°
→→y=-x
→→ y + x=0
equation of line perpendicular to OM will be
→→ x - y + k=0
Since it passes through .
→→
So, equation of initial path of stone will be:
Answer:
Step-by-step explanation: let Zara's money she earned last week be x.
money earned by Zara this week, x - 25 = 2875 AED
money earned by Zara last week, x - 25 = 2875
x = 2875 + 25 [-25 turns to 25 when transferred to RHS]
x= 2900 AED
Hope it helped u,
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