Answer:
hello : solutio ( 6 ; 2)
Step-by-step explanation:
the translation is : x' = x + a ....(*)
y' = y + b ...(**)
calculate the coordinates ( a ; b) of vectro by the translation
you have : x' = -7 y' = 0 x = -6 y = -2
Substitute in (*) , (***) : -7 = -6 +a
0 = - 2 + b
a = -1 and b= 2
so : x' = x - 1
y' = y + 2
calculate now the coordinates of the image of the point (7,0) under the same translation.
x = 7 and b = 0
so : x' = 7-1 = 6 and y' = 0 + 2 = 2
the image is : ( 6 ; 2 )
Answer:
y = -2x -3
Step-by-step explanation:
- the altitude trough F is a perpendicular line to the line DE
- find slope of line DE
D ( x2 = -5, y2 = -1); E (x1 = 3, y1 = 3)
slope m = (y2-y1) / (x2-x1) = (-1-3) / (-5-3) = -4/ -8 = 1/2
-find equation of the altitude trough F
lines that are perpendicular have the slope negative reciprocal (negative reciprocal of 1/2 is -2)
y= -2x +b , for point F(1, -5)
-5 = -2*1 +b, add 2 to both sides
-5 +2 = b, combine like terms
-3 =b
equation of the altitude trough F is y = -2x -3
Simplify
4ax+12-3ax=25+3a
ax+12=25+3a
ax-3a=25-12
a(x-3)=13
Area of a semicircle is 1/2* πr^2
Area of a square is s^2
Square’s area: 4mm^2
The radius is 3mm
Plug into the equation
1/2* π(3^2)
1/2* π(9)
We can use 3.14 as an estimate of pi
1/2*28.26
14.13mm^2
Now just add them both
Total area 18.13mm^2
Square root each side
x-5=positive/negative 9
x=14, and -4