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Verizon [17]
2 years ago
14

Triangle A B C has centroid G. Lines are drawn from each point to the midpoint of the opposite side to form line segments A D, B

E, C F.
[Figure may not be drawn to scale]

In triangle ABC, BG = 24 mm. What is the length of segment GE?
12 mm
24 mm
36 mm
48 mm
Mathematics
1 answer:
VashaNatasha [74]2 years ago
5 0
GE = 12 mm
Medians are concurrent and cut each other in the ratio of 2:1 from the vertex
BG:GE = 2:1 = 24:12
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Korolek [52]

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4 0
3 years ago
For the function y=3x2: (a) Find the average rate of change of y with respect to x over the interval [3,6]. (b) Find the instant
nirvana33 [79]

Answer:

The instantaneous rate of change of y with respect to x at the value x = 3 is 18.

Step-by-step explanation:

a) Geometrically speaking, the average rate of change of y with respect to x over the interval by definition of secant line:

r = \frac{y(b) -y(a)}{b-a} (1)

Where:

a, b - Lower and upper bounds of the interval.

y(a), y(b) - Function exaluated at lower and upper bounds of the interval.

If we know that y = 3\cdot x^{2}, a = 3 and b = 6, then the average rate of change of y with respect to x over the interval is:

r = \frac{3\cdot (6)^{2}-3\cdot (3)^{2}}{6-3}

r = 27

The average rate of change of y with respect to x over the interval [3,6] is 27.

b) The instantaneous rate of change can be determined by the following definition:

y' =  \lim_{h \to 0}\frac{y(x+h)-y(x)}{h} (2)

Where:

h - Change rate.

y(x), y(x+h) - Function evaluated at x and x+h.

If we know that x = 3 and y = 3\cdot x^{2}, then the instantaneous rate of change of y with respect to x is:

y' =  \lim_{h \to 0} \frac{3\cdot (x+h)^{2}-3\cdot x^{2}}{h}

y' =  3\cdot \lim_{h \to 0} \frac{(x+h)^{2}-x^{2}}{h}

y' = 3\cdot  \lim_{h \to 0} \frac{2\cdot h\cdot x +h^{2}}{h}

y' = 6\cdot  \lim_{h \to 0} x +3\cdot  \lim_{h \to 0} h

y' = 6\cdot x

y' = 6\cdot (3)

y' = 18

The instantaneous rate of change of y with respect to x at the value x = 3 is 18.

5 0
3 years ago
Geometry. helppp!!! please explain this
Yuri [45]
Answer: 10

----------------------------------------------

Explanation:

Segment TU must be congruent (equal in length) to segment UV in order for the angle TSV to be bisected by segment SU

Bisected = cut in half

So because TU = UV, we can say,

TU = UV
3x+18 = 4x+8
3x+18-3x = 4x+8-3x
18 = x+8
18-8 = x+8-8
x = 10
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3 years ago
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mash [69]

Answer:

Total ways possible = 104 ways

Step-by-step explanation:

Total ways possible = 104 ways

The figure is attached here for understanding.

In the figure, the blank points are those points where we can not reach.

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B, 13,247.5 milliliters
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