Answer:
B
Step-by-step explanation:
To go from B' to B , perform the inverse operation
That is the translation rule is (x - 4, y - 5 ) , then
B'(7, - 4 ) → B (7 - 4, - 4 - 5 ) → B (3, - 9 ) → option B
Answer: the minimum score required for an A grade is 81
Step-by-step explanation:
Since the scores on the test are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = scores on the test.
µ = mean score
σ = standard deviation
From the information given,
µ = 70.8
σ = 8.6
The probability value for the top 13% of the scores would be (1 - 13/100) = (1 - 0.13) = 0.87
Looking at the normal distribution table, the z score corresponding to the probability value is 1.13
Therefore,
1.13 = (x - 70.8)/8.6
Cross multiplying by 8.6, it becomes
1.13 × 8.6 = x - 70.8
9.718 = x - 70.8
x = 9.718 + 70.8
x = 81 to the nearest whole number
X-4
——
X
-2-4
——
-2
Calcule the difference
-6
—-
-2
Reduce the fraction with -2
=3
The equation of the line through the point (8,−9) and perpendicular to 3x+8y=4 is given by 8x - 3y = 91.
We are aware that any straight line's equation can be expressed as
y = mx + c,
where m denotes the slope and c denotes a constant.
Also, two perpendicular lines' slopes are the negative reciprocals of one another.
Here, the equation of the given straight line is
3x+8y=4
i.e. 8y = 4 -3x
i.e. y = (4/8) - (3/8)x
Now the negative reciprocal of - 3/8 is 8/3.
Then we can write the equation of the perpendicular line is
y = (8/3)x + c ...(1)
Since (1) passes through the point (8, -9), so we can put x = 8 and y = -9 in (1) to get the value of c.
So, -9 = (8/3)*8 + c
i.e. -9 = 64/3 + c
i.e. c = -9 -64/3 = - (27 + 64)/3 = - 91/3
(1) can be written as
y = (8/3)x - (91/3)
i.e. 3y = 8x - 91
i.e. 8x - 3y = 91
Therefore the equation of the line through the point (8,−9) and perpendicular to 3x+8y=4 is given by 8x - 3y = 91.
Learn more about perpendicular lines here -
brainly.com/question/12209021
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The answer would be 99, because because if you remove the decimals and the 0's you get 99.