1/2 + 4x = 5x - 5/6
1/2 = x - 5/6
3/6 = x - 5/6
x = 8/6
Consetive integers are 1 apart
they are
x,x+1,x+2
3 times the first added to the last is 22
3x+x+2=22
combine like terms
4x+2=22
minus 2 both sides
4x=20
divide both sides by 4
x=5
x+1=6
x+2=7
the numbers are 5,6,7
Answer:
The coordinates of the point that divides the line segment directed from A to B in the ratio of 1:3 is P ( 2 , 2.25 ).
Step-by-step explanation:
Given:
Let Point P ( x , y ) divides Segment Am in the ratio 1 : 3 = m : n (say)
point A( x₁ , y₁) ≡ ( 1 , 2)
point B( x₂ , y₂) ≡ (5 , 3)
To Find:
point P( x , y) ≡ ?
Solution:
IF a Point P divides Segment AB internally in the ratio m : n, then the Coordinates of Point P is given by Section Formula as

Substituting the values we get

The coordinates of the point that divides the line segment directed from A to B in the ratio of 1:3 is P ( 2 , 2.25 ).
You could have all 4 sides of the garage 24 meters
The equation of the parabola that similar to f(x) =
but the vertex is (3, 5) in the standard form is y =
+ 5
The equation of the parabola
f(x) = 
The standard vertex form of a parabola is
y =
+ k
The coordinates of the vertex of a parabola = (3, 5)
Where (h, k) is the coordinates
From the given function of the parabola f(x) = 
The value of a = 7
Substitute the values in the vertex form of a parabola
y =
+ 5
Hence, the equation of the parabola that is similar to f(x) =
but the vertex is (3, 5) in the standard form is y =
+ 5
Learn more about vertex form here
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