The two points are (-4, -2) and (4, 5) and the equation of the line is 8y = 7x + 12 passing through the two points.
<h3>What is geometric transformation?</h3>
It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
We have a quadrilateral ABCD which is reflected over a line and formed a mirror image A'B'C'D' of the quadrilateral.
From the graph:
The two points are (-4, -2) and (4, 5)
The line equation passing through two points:
[y - 5] = (5+2)/(4+4)[x - 4]
y - 5 = 7/8[x - 4]
8y - 40 = 7x - 28
8y = 7x + 12
Thus, the two points are (-4, -2) and (4, 5) and the equation of the line is 8y = 7x + 12 passing through the two points.
Learn more about the geometric transformation here:
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X+3(x+2)=30
x+3x+6=30
4x=24
x=6
x+2=8
The numbers should be 6 and 8.
Answer:
d) V/(lh) = w
Step-by-step explanation:
The appropriate solution divides the equation by the coefficient of w, which is lh. In answer selection (d), that is done by first dividing by l, then by h.
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<em>Comment on the solution</em>
One could just divide by l·h and be done with it.
Answer:
a) Sample size need to be greater than 30
b) The probability is approximately 0.0571
Step-by-step explanation:
a) For a normal distribution, the sample size has to be greater than 30. A sample size greater than 30 makes it to be an approximate normal distribution.
b) Given that:
μ = 11.2 minutes, σ = 4.5 minutes, n = 35
The z score determines how many standard deviations the raw score is above or below the mean. It is given by:
For x < 10 minutes
Therefore from the normal distribution table, P(x < 10) = P(z < -1.58) = 0.0571
The probability is approximately 0.0571