Answer:
Step-by-step explanation:
1. When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative.
2. The rule for a rotation by 180° about the origin is (x,y)→(−x,−y) .
3. Rotation of a point through 180°, about the origin when a point M (h, k) is rotated about the origin O through 180° in anticlockwise or clockwise direction, it takes the new position M' (-h, -k). ...
Answer: 4. (-1,-1) 3. (3,-2)
4)
Set the equations equal to each other.
4x+3=-x-2
Subtract 3 from both sides
4x=-x-5
Add x to both sides
5x=-5
Divide both sides by 5
x=-1
Next, replace x with -1 in either equation to find y.
-(-1)-2=y
-1=y
3)
Do the same thing for this one and set them equal to each other
-2x+4=-1/3x-1
Add 1 to both sides
-2x+5=-1/3x
Add 2x to both sides
5=5/3x
Divide both sides by 5/3
x=3
Next, replace x with 3 in either equation
-2(3)+4=y
-2=y
Answer:
y + 2 = -0.069(x-+5)
Step-by-step explanation:
SInce the two lines intersects, we will equate it
Multiply x + 3y = 0 by 4;
4x + 12y = 0
4x-4y-13 = 0,
Subtracts both
12y +4y + 13 = 0
16y = 13
y = 13/16
get x;
x + 3(13/16) = 0
x = -39/16
The point of intersection is (0.8, -2.4) and (-5,-2)
Get the equation;
m = y2-y1/x2-x1
m = -2+2.4/-5-0.8
m = 0.4/-5.8
m = -0.069
Get the equation;
y - y0 = m(x-x0)
y - (-2)= -0.069(x-(-5))
y + 2 = -0.069(x-+5)
Answer:
Step-by-step explanation:
true false true false
<em>a = 17</em>
<em>b = 18</em>
<em>c = 19</em>
- <em>Step-by-step explanation:</em>
<em>Hi there ! </em>
<em>a + b + c = 54</em>
<em>b = a + 1</em>
<em>c = a + 2</em>
<em>replace b ; c</em>
<em>a + (a + 1) + (a + 2) = 54</em>
<em>3a = 54 - 3</em>
<em>3a = 51</em>
<em>a = 51 : 3</em>
<em>a = 17</em>
<em>b = 18</em>
<em>c = 19</em>
<em>Good luck !</em>
