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frez [133]
2 years ago
15

If triangle RED has vertices R(0,0) E(-3,4) and D(4,6), which of the following coordinates is E' of the dilation using the scale

factor 0.5?
A. E' (-1.5, 0.5)
B. E' (2, -1.5)
C. E' (-1.5, 2)
Mathematics
1 answer:
schepotkina [342]2 years ago
3 0
The coordinates of point E are
x = -3
y = 4

Multiply each coordinate by the scale factor k = 0.5
k*x = 0.5*(-3) = -1.5
k*y = 0.5*4 = 2

The new point is now (-1.5, 2) which is the location of point E'
Answer: Choice C

Side note: this is implying that the center of dilation is the origin (0,0)
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2 years ago
Let the probability of success on a Bernoulli trial be 0.26. a. In five Bernoulli trials, what is the probability that there wil
andreyandreev [35.5K]

Answer:

0.3898 = 38.98% probability that there will be 4 failures

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P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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And p is the probability of X happening.

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This means that p = 0.26

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Five trials means that n = 5

4 failures, so 1 success, and we have to find P(X = 1).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

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4 0
3 years ago
If the gradient of a line joining the points (-2, 6) and (5, b) is 14.<br> Find the value of b.
babunello [35]

Answer:

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Step-by-step explanation:

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14 = b-6/7

Cross multiply

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b  = 98 + 6

b = 104

3 0
3 years ago
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