Answer:
Step-by-step explanation:
Each of the triangles is similar, so we have ...
3/5 = (3+x)/20
x = 20(3/5) -3
x = 9
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4/5 = (4+y)/20
y = 20(4/5) -4
y = 12
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3/5 = (3 + x + u)/60
u = 60(3/5) -3 -9
u = 24
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4/5 = (4 +y +v)/60
v = 60(4/5) -4 -12
v = 32
Answer:
f(x) = 2x² - 8x - 10.
This is a parabola open upward (since a>0) with an axis of symmetry = -b/2a:
a) axis of symmetry: x = -(-8)/(2*2) = 8/4 = 2. Then x = 2, which is the x component of the vertex
b) for x = 2, f(x) = f(2) = - 18 (component of y of the vertex)
c) VERTEX(2, - 18)
d) DISCRIMINENT: b² - 4.a.c = 64 - 4*2*(-10) = 144
Hope this helps! :)
Answer:
10/12 or 5/6
Step-by-step explanation:
1/2 + 1/2 = 1
5/12 + 5/12 = 10/12 or 5/6
Answer:
171
Step-by-step explanation: