The coordinates of the midpoint of a line segment joining two points (x₁,y₁) and (x₂, y₂) is given by
[(x₁+x₂)/2, (y₁+y₂)/2].
Given:
(x₁,y₁) = (3,6) for the point U.
For the midpoint,
(x₁+x₂)/2 = 5 or x₁ + x₂ = 10
(y₁+y₂)/2 = -10 or y₁ + y₂ = -20
Therefore, the coordinates of V are
3 + x₂ = 10 => x₂ = 7
6 + y₂ = -20 => y₂ = -26
Answer: V (7, -26)
Answer:
where are the expressions
Step-by-step explanation:
Answer:
Width=13cm
Length=18cm
Step-by-step explanation:
Width of the Initial Photograph=9cm
Length of the Initial Photograph=14cm
If width and length are increased by an equal amount, say x
New Width=9+x
New Length=14+x
Area of the new photo is 108 square centimeters greater than the area of the original photo.
Area of Original Photo=14*9=126cm²
Aeea of the New Photo=126+108=234cm²
Therefore:
(9+x)(14+x)=234
126+9x+14x+x²-234=0
x²+23x-108=0
x²+27x-4x-108=0
x(x+27)-4(x+27)=0
(x+27)(x-4)=0
x+27=0 or x-4=0
x=-27 or x=4
Since x≠-27
x=4cm
The dimensions of the new photo are:
Width=9+x=9+4=13cm
Length=14+x=14+4=18cm
Step-by-step explanation:
-7(1+3x) = 4 + 5x
-7 - 21x = 4 + 5x
(get all the variables on one side. Don't forget to change the signs)
-7-4 = 5x + 21x
-11 = 26x
(divide both sides by the coefficient [26])
26x/26= -11/26
x = -11/26
Answer:
97
Step-by-step explanation:
5 * 85 - 4* 82 = 97
