The point Q on a line segment with end points(2,1) and (4,2) is Q(12/5, -2/5)
<h3>What is a line segment?</h3>
A line segment is a straight line that passes through two given points.
The end points of the line determine how long or short a given line segment would be.
Analysis:
point Q(x, y )
x = 
y = 
where M :N = 4:1
x1 = 2, x2 = 4, y1 = -1, y2 = 2
x = 
= 12/5
y = 
= -2/5
In conclusion, the point Q is (12/5, -2/5).
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Answer:
Equation → 5y = 3y + 6
Value of ST = 15
Step-by-step explanation:
From the picture attached,
In right triangles ΔVST and ΔVUT,
Acute angles ∠SVT ≅ ∠UVT [Given]
TV ≅ TV [By reflexive property of congruence]
ΔVST ≅ ΔVUT [Hypotenuse angle congruence of right triangles]
Therefore, corresponding parts of the congruent triangles are congruent.
Therefore, ST ≅ TU
5y = 3y + 6
5y - 3y = 6
2y = 6
y = 3
Therefore, ST = 5y
ST = 5(3)
= 15
If you were to draw the cosx and sinx graph there will be infinite solutions at their interceptions which are the multiple of pi/4
F(x) = 4 - x² g(x) = 6x
(g - f)(x) = g(x) - f(x)
(g - f)(3) = g(3) - f(3)
g(x) = 6x
g(3) = 6*3 = 18
f(x) = 4 - x²
f(3) = 4 - 3² = 4 - 9 = -5
(g - f)(3) = g(3) - f(3) = 18 - (-5) = 18 + 5 = 23
(g - f)(3) = 23
