Answer:
The coordinates of the science lab is:
x = -14/3 , y = 1
Step-by-step explanation:
∵ P is (-8 , -1) and Q is (2 , 5)
∵ The point of the science lab is (x , y)
∵ The science lab point divided PQ at ratio 2 : 1 from Q (two thirds PQ)
∴ 
∴ 
∴ 
∴ 
∴ The point of science lab = (-14/3 , 1)
Draw a graph the function and find the value of x that produces the maximum
Subtract x from both sides:
(3x - x) + 7 = (x - x) - 1
3x - x = 2x:
2x + 7 = (x - x) - 1
x - x = 0:
2x + 7 = -1
Subtract 7 from both sides:
2x + (7 - 7) = -7 - 1
7 - 7 = 0:
2x = -7 - 1
-7 - 1 = -8:
2x = -8
Divide both sides by 2:
2x / 2 = -8 / 2
2 / 2 = 1:
x = -8 / 2
The gcd (greatest common denominator) of 8 and 2 is 2:
-8 / 2 = 2(-4) / 2x1 = 2/2 x - 4 = -4
x = -4
Answer:
Rotation then dilation.
Step-by-step explanation:
Dilation changes the size. So the result is a similar not congruent triangle. The other transformations move the figure around on the plane.
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